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{"rank":5070,"prime":"4966510140375*2^1290000-1","digits":388342,"year":2020,"form":"k·2ⁿ±1","comment":"Arithmetic progression (2,d=2227792035315*2^1290001)"}
{"rank":5071,"prime":"2996863034895*2^1290000+1","digits":388342,"year":2016,"form":"Twin","comment":"Twin (p+2)"}
{"rank":5072,"prime":"2996863034895*2^1290000-1","digits":388342,"year":2016,"form":"Twin","comment":"Twin (p)"}
{"rank":5073,"prime":"2723880039837*2^1290000-1","digits":388342,"year":2016,"form":"k·2ⁿ±1","comment":"Arithmetic progression (1,d=4125*2^1445205-2723880039837*2^1290000); [p199]"}
{"rank":5074,"prime":"2618163402417*2^1290000-1","digits":388342,"year":2016,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5075,"prime":"2060323099527*2^1290000-1","digits":388342,"year":2015,"form":"k·2ⁿ±1","comment":"Arithmetic progression (2,d=69718264533*2^1290002) [p199]"}
{"rank":5076,"prime":"1938662032575*2^1290000-1","digits":388341,"year":2015,"form":"k·2ⁿ±1","comment":"Arithmetic progression (1,d=10032831585*2^1290001) [p199]"}
{"rank":5077,"prime":"1781450041395*2^1290000-1","digits":388341,"year":2015,"form":"k·2ⁿ±1","comment":"Arithmetic progression (1,d=69718264533*2^1290002) [p199]"}
{"rank":5078,"prime":"15*2^1276177+1","digits":384169,"year":2006,"form":"k·2ⁿ±1","comment":"Divides GF(1276174,3), GF(1276174,10)"}
{"rank":5079,"prime":"1268979*2^1268979-1","digits":382007,"year":2007,"form":"Woodall","comment":"Woodall"}
{"rank":5080,"prime":"2^1257787-1","digits":378632,"year":1996,"form":"Mersenne","comment":"Mersenne 34"}
{"rank":5081,"prime":"329*2^1246017+1","digits":375092,"year":2012,"form":"k·2ⁿ±1","comment":"Divides Fermat F(1246013)"}
{"rank":5082,"prime":"843301#-1","digits":365851,"year":2010,"form":"Primorial","comment":"Primorial"}
{"rank":5083,"prime":"10^362600+666*10^181299+1","digits":362601,"year":2014,"form":"Palindrome","comment":"Palindrome"}
{"rank":5084,"prime":"2^1203793-2^601897+1","digits":362378,"year":2006,"form":"Generalized unique","comment":"Gaussian Mersenne norm 37, generalized unique"}
{"rank":5085,"prime":"1195203*2^1195203-1","digits":359799,"year":2005,"form":"Woodall","comment":"Woodall"}
{"rank":5086,"prime":"2145*2^1099064+1","digits":330855,"year":2013,"form":"k·2ⁿ±1","comment":"Divides Fermat F(1099061)"}
{"rank":5087,"prime":"10^320236+10^160118+1+(137*10^160119+731*10^159275)*(10^843-1)/999","digits":320237,"year":2014,"form":"Palindrome","comment":"Palindrome"}
{"rank":5088,"prime":"10^320096+10^160048+1+(137*10^160049+731*10^157453)*(10^2595-1)/999","digits":320097,"year":2014,"form":"Palindrome","comment":"Palindrome"}
{"rank":5089,"prime":"10^314727-8*10^157363-1","digits":314727,"year":2013,"form":"Palindrome","comment":"Near-repdigit, palindrome"}
{"rank":5090,"prime":"10^302508+686*10^151253+1","digits":302509,"year":2026,"form":"Palindrome","comment":"Palindrome"}
{"rank":5091,"prime":"10^302332+333*10^151165+1","digits":302333,"year":2026,"form":"Palindrome","comment":"Palindrome"}
{"rank":5092,"prime":"10^300628+888*10^150313+1","digits":300629,"year":2026,"form":"Palindrome","comment":"Palindrome"}
{"rank":5093,"prime":"2^991961-2^495981+1","digits":298611,"year":2005,"form":"Generalized unique","comment":"Gaussian Mersenne norm 36, generalized unique"}
{"rank":5094,"prime":"11*2^960901+1","digits":289262,"year":2005,"form":"k·2ⁿ±1","comment":"Divides Fermat F(960897)"}
{"rank":5095,"prime":"1705*2^906110+1","digits":272770,"year":2012,"form":"k·2ⁿ±1","comment":"Divides Fermat F(906108)"}
{"rank":5096,"prime":"2^859433-1","digits":258716,"year":1994,"form":"Mersenne","comment":"Mersenne 33"}
{"rank":5097,"prime":"667071*2^667071-1","digits":200815,"year":2000,"form":"Woodall","comment":"Woodall"}
{"rank":5098,"prime":"18543637900515*2^666668-1","digits":200701,"year":2012,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5099,"prime":"18543637900515*2^666667-1","digits":200701,"year":2012,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5100,"prime":"3756801695685*2^666669+1","digits":200700,"year":2011,"form":"Twin","comment":"Twin (p+2)"}
{"rank":5101,"prime":"3756801695685*2^666669-1","digits":200700,"year":2011,"form":"Twin","comment":"Twin (p)"}
{"rank":5102,"prime":"392113#+1","digits":169966,"year":2001,"form":"Primorial","comment":"Primorial"}
{"rank":5103,"prime":"213778324725*2^561418+1","digits":169015,"year":2023,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5104,"prime":"213778324725*2^561417+1","digits":169015,"year":2023,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5105,"prime":"366439#+1","digits":158936,"year":2001,"form":"Primorial","comment":"Primorial"}
{"rank":5106,"prime":"2*893962950^16384+1","digits":146659,"year":2023,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5107,"prime":"893962950^16384+1","digits":146659,"year":2023,"form":"Generalized Fermat","comment":"Cunningham chain 2nd kind (p), generalized Fermat"}
{"rank":5108,"prime":"481899*2^481899+1","digits":145072,"year":1998,"form":"Cullen","comment":"Cullen"}
{"rank":5109,"prime":"152748736824915*2^480480+1","digits":144654,"year":2026,"form":"Twin","comment":"Twin (p+2)"}
{"rank":5110,"prime":"152748736824915*2^480480-1","digits":144654,"year":2026,"form":"Twin","comment":"Twin (p)"}
{"rank":5111,"prime":"100855907240235*2^480480-1","digits":144653,"year":2025,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5112,"prime":"100855907240235*2^480479-1","digits":144653,"year":2025,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5113,"prime":"669821552^16384-669821552^8192+1","digits":144605,"year":2024,"form":"Generalized unique","comment":"Twin (p+2), generalized unique"}
{"rank":5114,"prime":"669821552^16384-669821552^8192-1","digits":144605,"year":2024,"form":"Twin","comment":"Twin (p)"}
{"rank":5115,"prime":"34790!-1","digits":142891,"year":2002,"form":"Factorial","comment":"Factorial"}
{"rank":5116,"prime":"(124750^27751-1)/124749","digits":141416,"year":2024,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5117,"prime":"222710306^16384-222710306^8192+1","digits":136770,"year":2024,"form":"Generalized unique","comment":"Twin (p+2), generalized unique"}
{"rank":5118,"prime":"222710306^16384-222710306^8192-1","digits":136770,"year":2024,"form":"Twin","comment":"Twin (p)"}
{"rank":5119,"prime":"(92365^24691-1)/92364","digits":122599,"year":2024,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5120,"prime":"9955858992*11^111111+1","digits":115721,"year":2025,"form":"Twin","comment":"Twin (p+2)"}
{"rank":5121,"prime":"9955858992*11^111111-1","digits":115721,"year":2025,"form":"Twin","comment":"Twin (p)"}
{"rank":5122,"prime":"7977227425*(2^368352-2^257849)+2^110505+1","digits":110895,"year":2025,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=6)"}
{"rank":5123,"prime":"7977227425*(2^368352-2^257849)+2^110505-5","digits":110895,"year":2025,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=6)"}
{"rank":5124,"prime":"(102936^21961-1)/102935","digits":110076,"year":2023,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5125,"prime":"2^364289-2^182145+1","digits":109662,"year":2001,"form":"Generalized unique","comment":"Gaussian Mersenne norm 35, generalized unique"}
{"rank":5126,"prime":"R(109297)","digits":109297,"year":2025,"form":"Repunit","comment":"Repunit, ECPP, unique"}
{"rank":5127,"prime":"361275*2^361275+1","digits":108761,"year":1998,"form":"Cullen","comment":"Cullen"}
{"rank":5128,"prime":"26951!+1","digits":107707,"year":2002,"form":"Factorial","comment":"Factorial"}
{"rank":5129,"prime":"15898321815*2^333645+1","digits":100448,"year":2025,"form":"Twin","comment":"Twin (p+2)"}
{"rank":5130,"prime":"15898321815*2^333645-1","digits":100448,"year":2025,"form":"Twin","comment":"Twin (p)"}
{"rank":5131,"prime":"47356235323005*2^333444-1","digits":100391,"year":2024,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5132,"prime":"47356235323005*2^333443-1","digits":100391,"year":2024,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5133,"prime":"21480284945595*2^333444-1","digits":100390,"year":2024,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5134,"prime":"21480284945595*2^333443-1","digits":100390,"year":2024,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5135,"prime":"65516468355*2^333333+1","digits":100355,"year":2009,"form":"Twin","comment":"Twin (p+2)"}
{"rank":5136,"prime":"65516468355*2^333333-1","digits":100355,"year":2009,"form":"Twin","comment":"Twin (p)"}
{"rank":5137,"prime":"954589277*(2^332267-2^110758)+2^221511+1","digits":100032,"year":2025,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=4)"}
{"rank":5138,"prime":"954589277*(2^332267-2^110758)+2^221511-3","digits":100032,"year":2025,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=4)"}
{"rank":5139,"prime":"U(65181,1,20770)+U(65181,1,20769)","digits":99985,"year":2025,"form":null,"comment":"Lehmer number"}
{"rank":5140,"prime":"U(48099,1,21000)-U(48099,1,20999)","digits":98321,"year":2025,"form":null,"comment":"Lehmer number"}
{"rank":5141,"prime":"8797170843*(2^317583+2^190552)+2^127033+3","digits":95612,"year":2025,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=4)"}
{"rank":5142,"prime":"8797170843*(2^317583+2^190552)+2^127033-1","digits":95612,"year":2025,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=4)"}
{"rank":5143,"prime":"(7176^24691-1)/7175","digits":95202,"year":2017,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5144,"prime":"U(54381,1,19426)+U(54381,1,19425)","digits":91987,"year":2025,"form":null,"comment":"Lehmer number"}
{"rank":5145,"prime":"(58425^18757-1)/58424","digits":89403,"year":2025,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5146,"prime":"R(86453)","digits":86453,"year":2023,"form":"Repunit","comment":"Repunit, ECPP, unique"}
{"rank":5147,"prime":"(84741735735*(2^190738-1)+4)*2^95369+5","digits":86138,"year":2024,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=6)"}
{"rank":5148,"prime":"(84741735735*(2^190738-1)+4)*2^95369-1","digits":86138,"year":2024,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=6)"}
{"rank":5149,"prime":"(74018908351*(2^190738-1)+4)*2^95369+3","digits":86138,"year":2024,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=4)"}
{"rank":5150,"prime":"(74018908351*(2^190738-1)+4)*2^95369-1","digits":86138,"year":2024,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=4)"}
{"rank":5151,"prime":"21480!-1","digits":83727,"year":2001,"form":"Factorial","comment":"Factorial"}
{"rank":5152,"prime":"(74968^17107-1)/74967","digits":83390,"year":2024,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5153,"prime":"66629493*2^269335-1","digits":81086,"year":2025,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5154,"prime":"66629493*2^269334-1","digits":81086,"year":2025,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5155,"prime":"1867513233*2^266698+1","digits":80294,"year":2025,"form":"Twin","comment":"Twin (p+2)"}
{"rank":5156,"prime":"1867513233*2^266698-1","digits":80294,"year":2025,"form":"Twin","comment":"Twin (p)"}
{"rank":5157,"prime":"201926367*2^266668+1","digits":80284,"year":2024,"form":"Twin","comment":"Twin (p+2)"}
{"rank":5158,"prime":"201926367*2^266668-1","digits":80284,"year":2024,"form":"Twin","comment":"Twin (p)"}
{"rank":5159,"prime":"107928275961*2^265876+1","digits":80048,"year":2023,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5160,"prime":"107928275961*2^265875+1","digits":80048,"year":2023,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5161,"prime":"22942396995*2^265777-1","digits":80018,"year":2023,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5162,"prime":"22942396995*2^265776-1","digits":80017,"year":2023,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5163,"prime":"183027*2^265441-1","digits":79911,"year":2010,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5164,"prime":"183027*2^265440-1","digits":79911,"year":2010,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5165,"prime":"262419*2^262419+1","digits":79002,"year":1998,"form":"Cullen","comment":"Cullen"}
{"rank":5166,"prime":"160204065*2^262148+1","digits":78923,"year":2021,"form":"Twin","comment":"Twin (p+2)"}
{"rank":5167,"prime":"160204065*2^262148-1","digits":78923,"year":2021,"form":"Twin","comment":"Twin (p)"}
{"rank":5168,"prime":"3622179275715*2^256003+1","digits":77078,"year":2020,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5169,"prime":"3622179275715*2^256002+1","digits":77077,"year":2020,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5170,"prime":"648621027630345*2^253825-1","digits":76424,"year":2009,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5171,"prime":"620366307356565*2^253825-1","digits":76424,"year":2009,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5172,"prime":"648621027630345*2^253824-1","digits":76424,"year":2009,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5173,"prime":"620366307356565*2^253824-1","digits":76424,"year":2009,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5174,"prime":"2570606397*2^252763+1","digits":76099,"year":2020,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5175,"prime":"2570606397*2^252762+1","digits":76099,"year":2020,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5176,"prime":"1893611985^8192-1893611985^4096+1","digits":76000,"year":2024,"form":"Generalized unique","comment":"Twin (p+2), generalized unique"}
{"rank":5177,"prime":"1893611985^8192-1893611985^4096-1","digits":76000,"year":2024,"form":"Twin","comment":"Twin (p)"}
{"rank":5178,"prime":"1589173270^8192-1589173270^4096+1","digits":75376,"year":2024,"form":"Generalized unique","comment":"Twin (p+2), generalized unique"}
{"rank":5179,"prime":"1589173270^8192-1589173270^4096-1","digits":75376,"year":2024,"form":"Twin","comment":"Twin (p)"}
{"rank":5180,"prime":"(40734^16111-1)/40733","digits":74267,"year":2015,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5181,"prime":"(64758^15373-1)/64757","digits":73960,"year":2018,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5182,"prime":"996094234^8192-996094234^4096+1","digits":73715,"year":2024,"form":"Generalized unique","comment":"Twin (p+2), generalized unique"}
{"rank":5183,"prime":"996094234^8192-996094234^4096-1","digits":73715,"year":2024,"form":"Twin","comment":"Twin (p)"}
{"rank":5184,"prime":"895721531^8192-895721531^4096+1","digits":73337,"year":2024,"form":"Generalized unique","comment":"Twin (p+2), generalized unique"}
{"rank":5185,"prime":"895721531^8192-895721531^4096-1","digits":73337,"year":2024,"form":"Twin","comment":"Twin (p)"}
{"rank":5186,"prime":"5^104824+104824^5","digits":73269,"year":2023,"form":null,"comment":"ECPP"}
{"rank":5187,"prime":"795507696^8192-795507696^4096+1","digits":72915,"year":2024,"form":"Generalized unique","comment":"Twin (p+2), generalized unique"}
{"rank":5188,"prime":"795507696^8192-795507696^4096-1","digits":72915,"year":2024,"form":"Twin","comment":"Twin (p)"}
{"rank":5189,"prime":"primV(111534,1,27000)","digits":72683,"year":2013,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5190,"prime":"691595760^8192-691595760^4096+1","digits":72417,"year":2024,"form":"Generalized unique","comment":"Twin (p+2), generalized unique"}
{"rank":5191,"prime":"691595760^8192-691595760^4096-1","digits":72417,"year":2024,"form":"Twin","comment":"Twin (p)"}
{"rank":5192,"prime":"647020826^8192-647020826^4096+1","digits":72180,"year":2024,"form":"Generalized unique","comment":"Twin (p+2), generalized unique"}
{"rank":5193,"prime":"647020826^8192-647020826^4096-1","digits":72180,"year":2024,"form":"Twin","comment":"Twin (p)"}
{"rank":5194,"prime":"629813654^8192-629813654^4096+1","digits":72084,"year":2024,"form":"Generalized unique","comment":"Twin (p+2), generalized unique"}
{"rank":5195,"prime":"629813654^8192-629813654^4096-1","digits":72084,"year":2024,"form":"Twin","comment":"Twin (p)"}
{"rank":5196,"prime":"(V(6489,1,18903)-1)/(V(6489,1,3)-1)","digits":72051,"year":2025,"form":null,"comment":"Lehmer primitive part"}
{"rank":5197,"prime":"(V(27730,1,16209)+1)/(V(27730,1,9)+1)","digits":71976,"year":2025,"form":null,"comment":"Lehmer primitive part"}
{"rank":5198,"prime":"(58729^15091-1)/58728","digits":71962,"year":2017,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5199,"prime":"504983334^8192-504983334^4096+1","digits":71298,"year":2024,"form":"Generalized unique","comment":"Twin (p+2), generalized unique"}
{"rank":5200,"prime":"504983334^8192-504983334^4096-1","digits":71298,"year":2024,"form":"Twin","comment":"Twin (p)"}
{"rank":5201,"prime":"(V(10981,1,17553)+1)/(V(10981,1,3)+1)","digits":70914,"year":2025,"form":null,"comment":"Lehmer primitive part, cyclotomy"}
{"rank":5202,"prime":"U(8478,1,17710)+U(8478,1,17709)","digits":69567,"year":2025,"form":null,"comment":"Lehmer number"}
{"rank":5203,"prime":"(27987^15313-1)/27986","digits":68092,"year":2020,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5204,"prime":"U(1731,1,21000)-U(1731,1,20999)","digits":68001,"year":2025,"form":null,"comment":"Lehmer number"}
{"rank":5205,"prime":"(23340^15439-1)/23339","digits":67435,"year":2020,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5206,"prime":"10957126745325*2^222334-1","digits":66943,"year":2023,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5207,"prime":"20690306380455*2^222333-1","digits":66943,"year":2023,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5208,"prime":"10030004436315*2^222334-1","digits":66943,"year":2023,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5209,"prime":"8964472847055*2^222334-1","digits":66943,"year":2023,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5210,"prime":"10957126745325*2^222333-1","digits":66942,"year":2023,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5211,"prime":"20690306380455*2^222332-1","digits":66942,"year":2023,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5212,"prime":"10030004436315*2^222333-1","digits":66942,"year":2023,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5213,"prime":"8964472847055*2^222333-1","digits":66942,"year":2023,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5214,"prime":"(2^221509-1)/292391881","digits":66673,"year":2023,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5215,"prime":"(24741^15073-1)/24740","digits":66218,"year":2020,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5216,"prime":"(2^216317-1)/4036536904985126774592622545676909961173365710122848260271644315502006857","digits":65046,"year":2026,"form":null,"comment":"ECPP, Mersenne cofactor"}
{"rank":5217,"prime":"(63847^13339-1)/63846","digits":64091,"year":2013,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5218,"prime":"1068669447*2^211089-1","digits":63554,"year":2020,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5219,"prime":"1068669447*2^211088-1","digits":63553,"year":2020,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5220,"prime":"145823#+1","digits":63142,"year":2000,"form":"Primorial","comment":"Primorial"}
{"rank":5221,"prime":"U(15694,1,14700)+U(15694,1,14699)","digits":61674,"year":2019,"form":null,"comment":"Lehmer number"}
{"rank":5222,"prime":"(28507^13831-1)/28506","digits":61612,"year":2020,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5223,"prime":"2^203789+2^101895+1","digits":61347,"year":2000,"form":"Generalized unique","comment":"Gaussian Mersenne norm 34, generalized unique"}
{"rank":5224,"prime":"p(3000484833)","digits":61012,"year":2026,"form":null,"comment":"ECPP, partitions"}
{"rank":5225,"prime":"(26371^13681-1)/26370","digits":60482,"year":2012,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5226,"prime":"U(24,-25,43201)","digits":60391,"year":2020,"form":"Generalized Lucas","comment":"Generalized Lucas number"}
{"rank":5227,"prime":"99064503957*2^200009-1","digits":60220,"year":2016,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5228,"prime":"99064503957*2^200008-1","digits":60220,"year":2016,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5229,"prime":"(4529^16381-1)/4528","digits":59886,"year":2012,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5230,"prime":"3^125330+1968634623437000","digits":59798,"year":2022,"form":null,"comment":"ECPP"}
{"rank":5231,"prime":"(9082^15091-1)/9081","digits":59729,"year":2014,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5232,"prime":"V(277273)/11090921","digits":57940,"year":2026,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5233,"prime":"primV(27655,1,19926)","digits":57566,"year":2013,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5234,"prime":"Ramanujan tau function at 199^4518","digits":57125,"year":2022,"form":null,"comment":"ECPP"}
{"rank":5235,"prime":"(43326^12041-1)/43325","digits":55827,"year":2017,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5236,"prime":"12443794755*2^184517-1","digits":55556,"year":2021,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5237,"prime":"21749869755*2^184516-1","digits":55556,"year":2021,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5238,"prime":"14901867165*2^184516-1","digits":55556,"year":2021,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5239,"prime":"12443794755*2^184516-1","digits":55555,"year":2021,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5240,"prime":"21749869755*2^184515-1","digits":55555,"year":2021,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5241,"prime":"14901867165*2^184515-1","digits":55555,"year":2021,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5242,"prime":"607095*2^176312-1","digits":53081,"year":2009,"form":"Sophie Germain","comment":"Sophie Germain (2p+1)"}
{"rank":5243,"prime":"607095*2^176311-1","digits":53081,"year":2009,"form":"Sophie Germain","comment":"Sophie Germain (p)"}
{"rank":5244,"prime":"2^176177+60947","digits":53035,"year":2025,"form":null,"comment":"ECPP"}
{"rank":5245,"prime":"(2^175631-1)/30644889864000236404469033475809","digits":52839,"year":2026,"form":null,"comment":"ECPP, Mersenne cofactor"}
{"rank":5246,"prime":"(38284^11491-1)/38283","digits":52659,"year":2013,"form":"Repunit","comment":"Generalized repunit"}
{"rank":5247,"prime":"(2^174533-1)/193594572654550537/91917886778031629891960890057","digits":52494,"year":2022,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5248,"prime":"(2^173867-1)/52536637502689","digits":52326,"year":2026,"form":null,"comment":"ECPP, Mersenne cofactor"}
{"rank":5249,"prime":"(940^17581-1)/939","digits":52268,"year":2025,"form":"Repunit","comment":"ECPP generalized repunit"}
{"rank":5250,"prime":"p(2100982676)","digits":51053,"year":2026,"form":null,"comment":"Partitions, ECPP"}
{"rank":5251,"prime":"p(2100412931)","digits":51046,"year":2026,"form":null,"comment":"Partitions, ECPP"}
{"rank":5252,"prime":"U(809,1,17325)-U(809,1,17324)","digits":50378,"year":2019,"form":null,"comment":"Lehmer number"}
{"rank":5253,"prime":"10^50000+65859","digits":50001,"year":2022,"form":null,"comment":"ECPP"}
{"rank":5254,"prime":"R(49081)","digits":49081,"year":2022,"form":"Repunit","comment":"Repunit, unique, ECPP"}
{"rank":5255,"prime":"(V(8275,1,12447)-1)/(V(8275,1,27)-1)","digits":48659,"year":2025,"form":null,"comment":"Lehmer primitive part"}
{"rank":5256,"prime":"2^160423-2^80212+1","digits":48293,"year":2000,"form":"Generalized unique","comment":"Gaussian Mersenne norm 33, generalized unique"}
{"rank":5257,"prime":"U(67,-1,26161)","digits":47773,"year":2019,"form":"Generalized Lucas","comment":"Generalized Lucas number"}
{"rank":5258,"prime":"primV(40395,-1,15588)","digits":47759,"year":2007,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5259,"prime":"(V(24444,1,10809)+1)/(V(24444,1,9)+1)","digits":47393,"year":2025,"form":null,"comment":"Lehmer primitive part"}
{"rank":5260,"prime":"(2^157457-1)/1651348995090599153173927","digits":47376,"year":2026,"form":null,"comment":"ECPP, Mersenne cofactor"}
{"rank":5261,"prime":"primV(53394,-1,15264)","digits":47200,"year":2007,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5262,"prime":"151023*2^151023-1","digits":45468,"year":1998,"form":"Woodall","comment":"Woodall"}
{"rank":5263,"prime":"(2^151013-1)/61157791169561859593299975690769","digits":45428,"year":2025,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5264,"prime":"24157096*104561#+1","digits":45260,"year":2025,"form":null,"comment":"Arithmetic progression (4,d=6519272*104561#)"}
{"rank":5265,"prime":"17637824*104561#+1","digits":45259,"year":2025,"form":null,"comment":"Arithmetic progression (3,d=6519272*104561#)"}
{"rank":5266,"prime":"11118552*104561#+1","digits":45259,"year":2025,"form":null,"comment":"Arithmetic progression (2,d=6519272*104561#)"}
{"rank":5267,"prime":"4599280*104561#+1","digits":45259,"year":2025,"form":null,"comment":"Arithmetic progression (1,d=6519272*104561#)"}
{"rank":5268,"prime":"U(52245,1,9241)+U(52245,1,9240)","digits":43595,"year":2019,"form":null,"comment":"Lehmer number"}
{"rank":5269,"prime":"U(208519)/140875424305897","digits":43564,"year":2026,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5270,"prime":"71509*2^143019-1","digits":43058,"year":1998,"form":"Woodall","comment":"Woodall, arithmetic progression (2,d=(143018*2^83969-80047)*2^59049); [x12]"}
{"rank":5271,"prime":"U(2449,-1,12671)","digits":42939,"year":2018,"form":"Generalized Lucas","comment":"Generalized Lucas number, cyclotomy"}
{"rank":5272,"prime":"(2^141079+1)/3","digits":42469,"year":2025,"form":"Wagstaff","comment":"Wagstaff, ECPP, generalized Lucas number"}
{"rank":5273,"prime":"V(202667)","digits":42355,"year":2023,"form":"Lucas","comment":"Lucas number, ECPP"}
{"rank":5274,"prime":"U(201107)","digits":42029,"year":2023,"form":"Fibonacci","comment":"Fibonacci number, ECPP"}
{"rank":5275,"prime":"-E(12146)/1226039954339","digits":41943,"year":2025,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5276,"prime":"(2^138937+1)/3","digits":41824,"year":2023,"form":"Wagstaff","comment":"Wagstaff, ECPP, generalized Lucas number"}
{"rank":5277,"prime":"(2^136883-1)/536581361","digits":41198,"year":2025,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5278,"prime":"E(11848)/7910215","digits":40792,"year":2022,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5279,"prime":"V(193201)","digits":40377,"year":2023,"form":"Lucas","comment":"Lucas number, ECPP"}
{"rank":5280,"prime":"p(1289844341)","digits":40000,"year":2020,"form":null,"comment":"Partitions, ECPP"}
{"rank":5281,"prime":"(2^132929-1)/2054179601105776846215055956722560390485432904126229271473","digits":39959,"year":2026,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5282,"prime":"primV(4836,1,16704)","digits":39616,"year":2013,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5283,"prime":"(2^130439-1)/260879","digits":39261,"year":2023,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5284,"prime":"U(21041,-1,9059)","digits":39159,"year":2018,"form":"Generalized Lucas","comment":"Generalized Lucas number, cyclotomy"}
{"rank":5285,"prime":"V(183089)","digits":38264,"year":2023,"form":"Lucas","comment":"Lucas number, ECPP"}
{"rank":5286,"prime":"(2^127031+1)/3","digits":38240,"year":2023,"form":"Wagstaff","comment":"Wagstaff, ECPP, generalized Lucas number"}
{"rank":5287,"prime":"U(179689)/359377","digits":37547,"year":2026,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5288,"prime":"U(5617,-1,9539)","digits":35763,"year":2019,"form":"Generalized Lucas","comment":"Generalized Lucas number, cyclotomy"}
{"rank":5289,"prime":"(2^117239+1)/3","digits":35292,"year":2022,"form":"Wagstaff","comment":"Wagstaff, ECPP, generalized Lucas number"}
{"rank":5290,"prime":"p(1000007396)","digits":35219,"year":2022,"form":null,"comment":"Partitions, ECPP"}
{"rank":5291,"prime":"1864754598*Bern(12306)/7988337402668760859","digits":35160,"year":2025,"form":null,"comment":"Irregular, ECPP"}
{"rank":5292,"prime":"(V(60145,1,7317)-1)/(V(60145,1,27)-1)","digits":34841,"year":2019,"form":null,"comment":"Lehmer primitive part"}
{"rank":5293,"prime":"primV(38513,-1,11502)","digits":34668,"year":2006,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5294,"prime":"E(10168)/1097239206089665","digits":34323,"year":2023,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5295,"prime":"Phi(717,-10^72)","digits":34273,"year":2025,"form":null,"comment":"Unique, ECPP"}
{"rank":5296,"prime":"primV(9008,1,16200)","digits":34168,"year":2005,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5297,"prime":"(V(28138,1,7587)-1)/(V(28138,1,27)-1)","digits":33637,"year":2019,"form":null,"comment":"Lehmer primitive part"}
{"rank":5298,"prime":"V(159521)","digits":33338,"year":2023,"form":"Lucas","comment":"Lucas number, ECPP"}
{"rank":5299,"prime":"U(35896,1,7260)+U(35896,1,7259)","digits":33066,"year":2019,"form":null,"comment":"Lehmer number"}
{"rank":5300,"prime":"primV(6586,1,16200)","digits":32993,"year":2013,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5301,"prime":"U(1624,-1,10169)","digits":32646,"year":2018,"form":"Generalized Lucas","comment":"Generalized Lucas number, cyclotomy"}
{"rank":5302,"prime":"(V(48395,1,6921)-1)/(V(48395,1,9)-1)","digits":32382,"year":2019,"form":null,"comment":"Lehmer primitive part"}
{"rank":5303,"prime":"7300751*74719#-1","digits":32315,"year":2025,"form":null,"comment":"Arithmetic progression (4,d=1475275*74719#)"}
{"rank":5304,"prime":"5825476*74719#-1","digits":32314,"year":2025,"form":null,"comment":"Arithmetic progression (3,d=1475275*74719#)"}
{"rank":5305,"prime":"4350201*74719#-1","digits":32314,"year":2025,"form":null,"comment":"Arithmetic progression (2,d=1475275*74719#)"}
{"rank":5306,"prime":"2874926*74719#-1","digits":32314,"year":2025,"form":null,"comment":"Arithmetic progression (1,d=1475275*74719#)"}
{"rank":5307,"prime":"2^106693+2^53347+1","digits":32118,"year":2000,"form":"Generalized unique","comment":"Gaussian Mersenne norm 32, generalized unique"}
{"rank":5308,"prime":"primV(28875,1,13500)","digits":32116,"year":2016,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5309,"prime":"Phi(34051,-10)","digits":32033,"year":2025,"form":null,"comment":"Unique, ECPP"}
{"rank":5310,"prime":"(2^106391-1)/286105171290931103","digits":32010,"year":2022,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5311,"prime":"Phi(23023,-100)","digits":31681,"year":2025,"form":null,"comment":"Unique, ECPP"}
{"rank":5312,"prime":"(2^105269-1)/308568703561/44450301591671/36340288035156065237111970871/304727251426107823036749303510161","digits":31603,"year":2024,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5313,"prime":"Phi(4613,-100000000)","digits":31585,"year":2025,"form":null,"comment":"Unique, ECPP"}
{"rank":5314,"prime":"(V(77786,1,6453)+1)/(V(77786,1,27)+1)","digits":31429,"year":2012,"form":null,"comment":"Lehmer primitive part"}
{"rank":5315,"prime":"Phi(10295,-10000)","digits":31360,"year":2025,"form":null,"comment":"Unique, ECPP"}
{"rank":5316,"prime":"primV(10987,1,14400)","digits":31034,"year":2005,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5317,"prime":"V(148091)","digits":30950,"year":2015,"form":"Lucas","comment":"Lucas number, ECPP"}
{"rank":5318,"prime":"U(148091)","digits":30949,"year":2021,"form":"Fibonacci","comment":"Fibonacci number, ECPP"}
{"rank":5319,"prime":"-E(9266)/2129452307358569777","digits":30900,"year":2023,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5320,"prime":"Phi(11589,-10000)","digits":30897,"year":2022,"form":null,"comment":"Unique,ECPP"}
{"rank":5321,"prime":"(V(73570,1,6309)-1)/(V(73570,1,9)-1)","digits":30661,"year":2016,"form":null,"comment":"Lehmer primitive part"}
{"rank":5322,"prime":"V(145703)/179214691","digits":30442,"year":2023,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5323,"prime":"V(145193)/38621339","digits":30336,"year":2023,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5324,"prime":"1524633857*2^99902-1","digits":30083,"year":2022,"form":"k·2ⁿ±1","comment":"Arithmetic progression (4,d=928724769*2^99901)"}
{"rank":5325,"prime":"2120542945*2^99901-1","digits":30083,"year":2022,"form":"k·2ⁿ±1","comment":"Arithmetic progression (3,d=928724769*2^99901)"}
{"rank":5326,"prime":"18622159*2^99907-1","digits":30083,"year":2022,"form":"k·2ⁿ±1","comment":"Arithmetic progression (2,d=928724769*2^99901)"}
{"rank":5327,"prime":"263093407*2^99901-1","digits":30082,"year":2022,"form":"k·2ⁿ±1","comment":"Arithmetic progression (1,d=928724769*2^99901)"}
{"rank":5328,"prime":"Phi(36547,-10)","digits":29832,"year":2022,"form":null,"comment":"Unique, ECPP"}
{"rank":5329,"prime":"49363*2^98727-1","digits":29725,"year":1997,"form":"Woodall","comment":"Woodall"}
{"rank":5330,"prime":"U(2341,-1,8819)","digits":29712,"year":2008,"form":"Generalized Lucas","comment":"Generalized Lucas number"}
{"rank":5331,"prime":"primV(24127,-1,6718)","digits":29433,"year":2005,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5332,"prime":"primV(12215,-1,13500)","digits":29426,"year":2016,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5333,"prime":"V(140057)","digits":29271,"year":2014,"form":"Lucas","comment":"Lucas number,ECPP"}
{"rank":5334,"prime":"U(1404,-1,9209)","digits":28981,"year":2018,"form":"Generalized Lucas","comment":"Generalized Lucas number, cyclotomy"}
{"rank":5335,"prime":"U(138449)/722703781","digits":28925,"year":2026,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5336,"prime":"U(23396,1,6615)+U(23396,1,6614)","digits":28898,"year":2019,"form":null,"comment":"Lehmer number"}
{"rank":5337,"prime":"V(137483)/297756567358709","digits":28718,"year":2026,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5338,"prime":"(2^95369+1)/3","digits":28709,"year":2021,"form":"Wagstaff","comment":"Generalized Lucas number, Wagstaff, ECPP"}
{"rank":5339,"prime":"primV(45922,1,11520)","digits":28644,"year":2011,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5340,"prime":"E(8668)/5813137335705569364147662902195143235","digits":28636,"year":2026,"form":"Euler irregular","comment":"ECPP, Euler irregular"}
{"rank":5341,"prime":"primV(205011)","digits":28552,"year":2009,"form":"Lucas","comment":"Lucas primitive part"}
{"rank":5342,"prime":"-30*Bern(10264)/262578313564364605963","digits":28506,"year":2021,"form":null,"comment":"Irregular, ECPP"}
{"rank":5343,"prime":"U(16531,1,6721)-U(16531,1,6720)","digits":28347,"year":2007,"form":null,"comment":"Lehmer number"}
{"rank":5344,"prime":"U(135221)/240836845308529927941202189034491397","digits":28224,"year":2026,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5345,"prime":"(V(28286,1,6309)+1)/(V(28286,1,9)+1)","digits":28045,"year":2016,"form":null,"comment":"Lehmer primitive part"}
{"rank":5346,"prime":"U(5092,1,7561)+U(5092,1,7560)","digits":28025,"year":2014,"form":null,"comment":"Lehmer number"}
{"rank":5347,"prime":"V(132647)/30508811/445072057883695169","digits":27697,"year":2026,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5348,"prime":"U(132409)/2882138154561602271737","digits":27651,"year":2024,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5349,"prime":"90825*2^90825+1","digits":27347,"year":1997,"form":"Cullen","comment":"Cullen"}
{"rank":5350,"prime":"U(5239,1,7350)-U(5239,1,7349)","digits":27333,"year":2017,"form":null,"comment":"Lehmer number"}
{"rank":5351,"prime":"U(130021)","digits":27173,"year":2021,"form":"Fibonacci","comment":"Fibonacci number, ECPP"}
{"rank":5352,"prime":"primV(5673,1,13500)","digits":27028,"year":2005,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5353,"prime":"primV(44368,1,9504)","digits":26768,"year":2005,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5354,"prime":"546351925018076058*Bern(9702)/129255048976106804786904258880518941","digits":26709,"year":2021,"form":null,"comment":"Irregular, ECPP"}
{"rank":5355,"prime":"22359307*60919#+1","digits":26383,"year":2022,"form":null,"comment":"Arithmetic progression (4,d=5210718*60919#)"}
{"rank":5356,"prime":"17148589*60919#+1","digits":26383,"year":2022,"form":null,"comment":"Arithmetic progression (3,d=5210718*60919#)"}
{"rank":5357,"prime":"17029817*60919#+1","digits":26383,"year":2022,"form":null,"comment":"Arithmetic progression (4,d=1809778*60919#)"}
{"rank":5358,"prime":"15220039*60919#+1","digits":26383,"year":2022,"form":null,"comment":"Arithmetic progression (3,d=1809778*60919#)"}
{"rank":5359,"prime":"13410261*60919#+1","digits":26383,"year":2022,"form":null,"comment":"Arithmetic progression (2,d=1809778*60919#)"}
{"rank":5360,"prime":"11937871*60919#+1","digits":26382,"year":2022,"form":null,"comment":"Arithmetic progression (2,d=5210718*60919#)"}
{"rank":5361,"prime":"11600483*60919#+1","digits":26382,"year":2022,"form":null,"comment":"Arithmetic progression (1,d=1809778*60919#)"}
{"rank":5362,"prime":"6727153*60919#+1","digits":26382,"year":2022,"form":null,"comment":"Arithmetic progression (1,d=5210718*60919#)"}
{"rank":5363,"prime":"(2^87691-1)/806957040167570408395443233","digits":26371,"year":2022,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5364,"prime":"primV(10986,-1,9756)","digits":26185,"year":2005,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5365,"prime":"(2^86371-1)/41681512921035887","digits":25984,"year":2022,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5366,"prime":"(2^86137-1)/2584111/7747937967916174363624460881","digits":25896,"year":2022,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5367,"prime":"primV(11076,-1,12000)","digits":25885,"year":2005,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5368,"prime":"-E(7894)/19","digits":25790,"year":2023,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5369,"prime":"2^85237+2^42619+1","digits":25659,"year":2000,"form":"Generalized unique","comment":"Gaussian Mersenne norm 31, generalized unique"}
{"rank":5370,"prime":"V(122869)/40546771/1243743094029841","digits":25656,"year":2024,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5371,"prime":"primU(183537)","digits":25571,"year":2024,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5372,"prime":"primV(17505,1,11250)","digits":25459,"year":2011,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5373,"prime":"U(2325,-1,7561)","digits":25451,"year":2013,"form":"Generalized Lucas","comment":"Generalized Lucas number"}
{"rank":5374,"prime":"U(13084,-13085,6151)","digits":25319,"year":2018,"form":"Generalized Lucas","comment":"Generalized Lucas number, cyclotomy"}
{"rank":5375,"prime":"(2^84211-1)/1347377/31358793176711980763958121/3314641676042347824169591561","digits":25291,"year":2020,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5376,"prime":"U(120937)/241873/13689853218820385381","digits":25250,"year":2024,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5377,"prime":"primV(42,-1,23376)","digits":25249,"year":2007,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5378,"prime":"U(120847)/483389/13776557/26651135744461/878266627571589517816969/5142437846187952260620261","digits":25181,"year":2026,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5379,"prime":"U(1064,-1065,8311)","digits":25158,"year":2018,"form":"Generalized Lucas","comment":"Generalized Lucas number, cyclotomy"}
{"rank":5380,"prime":"primV(7577,-1,10692)","digits":25140,"year":2007,"form":"Generalized Lucas","comment":"Generalized Lucas primitive part"}
{"rank":5381,"prime":"(2^83339+1)/3","digits":25088,"year":2014,"form":"Wagstaff","comment":"ECPP, generalized Lucas number, Wagstaff"}
{"rank":5382,"prime":"(2^82939-1)/883323903012540278033571819073","digits":24938,"year":2021,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5383,"prime":"primV(194181)","digits":24908,"year":2024,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5384,"prime":"primV(119162)","digits":24903,"year":2024,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5385,"prime":"-E(7634)/1559","digits":24828,"year":2023,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5386,"prime":"primU(118319)","digits":24553,"year":2024,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5387,"prime":"U(1766,1,7561)-U(1766,1,7560)","digits":24548,"year":2013,"form":null,"comment":"Lehmer number"}
{"rank":5388,"prime":"U(117167)/17658707237","digits":24476,"year":2024,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5389,"prime":"V(116593)/120790349","digits":24359,"year":2023,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5390,"prime":"primV(214470)","digits":23895,"year":2024,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5391,"prime":"primU(115373)","digits":23875,"year":2024,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5392,"prime":"U(1383,1,7561)+U(1383,1,7560)","digits":23745,"year":2013,"form":null,"comment":"Lehmer number"}
{"rank":5393,"prime":"798*Bern(8766)/14670751334144820770719","digits":23743,"year":2021,"form":null,"comment":"Irregular, ECPP"}
{"rank":5394,"prime":"Phi(11867,-100)","digits":23732,"year":2021,"form":null,"comment":"Unique, ECPP"}
{"rank":5395,"prime":"primU(135421)","digits":23725,"year":2024,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5396,"prime":"primV(143234)","digits":23654,"year":2024,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5397,"prime":"(2^78737-1)/1590296767505866614563328548192658003295567890593","digits":23654,"year":2022,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5398,"prime":"Phi(35421,-10)","digits":23613,"year":2021,"form":null,"comment":"Unique, ECPP"}
{"rank":5399,"prime":"6917!-1","digits":23560,"year":1998,"form":"Factorial","comment":"Factorial"}
{"rank":5400,"prime":"primU(164185)","digits":23524,"year":2024,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5401,"prime":"2^77291+2^38646+1","digits":23267,"year":2000,"form":"Generalized unique","comment":"Gaussian Mersenne norm 30, generalized unique"}
{"rank":5402,"prime":"primU(166737)","digits":23231,"year":2024,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5403,"prime":"(V(59936,1,4863)+1)/(V(59936,1,3)+1)","digits":23220,"year":2013,"form":null,"comment":"Lehmer primitive part"}
{"rank":5404,"prime":"U(1118,1,7561)-U(1118,1,7560)","digits":23047,"year":2013,"form":null,"comment":"Lehmer number"}
{"rank":5405,"prime":"primA(275285)","digits":23012,"year":2024,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5406,"prime":"primV(110723)","digits":22997,"year":2024,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5407,"prime":"primV(180906)","digits":22905,"year":2024,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5408,"prime":"(V(45366,1,4857)+1)/(V(45366,1,3)+1)","digits":22604,"year":2013,"form":null,"comment":"Lehmer primitive part"}
{"rank":5409,"prime":"U(106663)/35892566541651557","digits":22275,"year":2024,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5410,"prime":"348054*Bern(8286)/1570865077944473903275073668721","digits":22234,"year":2022,"form":null,"comment":"Irregular, ECPP"}
{"rank":5411,"prime":"p(398256632)","digits":22223,"year":2022,"form":null,"comment":"Partitions, ECPP"}
{"rank":5412,"prime":"U(105509)/144118801533126010445795676378394340544227572822879081","digits":21997,"year":2022,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5413,"prime":"U(104911)","digits":21925,"year":2015,"form":"Fibonacci","comment":"Fibonacci number, ECPP"}
{"rank":5414,"prime":"primB(282035)","digits":21758,"year":2023,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5415,"prime":"primA(276335)","digits":21736,"year":2024,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5416,"prime":"Phi(1203,10^27)","digits":21600,"year":2021,"form":null,"comment":"Unique, ECPP"}
{"rank":5417,"prime":"U(19258,-1,5039)","digits":21586,"year":2007,"form":"Generalized Lucas","comment":"Generalized Lucas number"}
{"rank":5418,"prime":"6380!+1","digits":21507,"year":1998,"form":"Factorial","comment":"Factorial"}
{"rank":5419,"prime":"primV(154281)","digits":21495,"year":2023,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5420,"prime":"U(43100,1,4620)+U(43100,1,4619)","digits":21407,"year":2016,"form":null,"comment":"Lehmer number"}
{"rank":5421,"prime":"-E(6658)/85079","digits":21257,"year":2020,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5422,"prime":"Phi(39855,-10)","digits":21248,"year":2020,"form":null,"comment":"Unique, ECPP"}
{"rank":5423,"prime":"(V(23354,1,4869)-1)/(V(23354,1,9)-1)","digits":21231,"year":2013,"form":null,"comment":"Lehmer primitive part"}
{"rank":5424,"prime":"primA(296695)","digits":21137,"year":2023,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5425,"prime":"U(15631,1,5040)-U(15631,1,5039)","digits":21134,"year":2003,"form":null,"comment":"Lehmer number"}
{"rank":5426,"prime":"primA(413205)","digits":21127,"year":2023,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5427,"prime":"43512782181495*2^70002+1","digits":21087,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5428,"prime":"19446960288945*2^70003-1","digits":21087,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5429,"prime":"43512782181495*2^70001+1","digits":21087,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5430,"prime":"19446960288945*2^70002-1","digits":21086,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5431,"prime":"43512782181495*2^70000+1","digits":21086,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5432,"prime":"19446960288945*2^70001-1","digits":21086,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5433,"prime":"U(35759,1,4620)+U(35759,1,4619)","digits":21033,"year":2016,"form":null,"comment":"Lehmer number"}
{"rank":5434,"prime":"57612705200181*2^69801+5","digits":21026,"year":2026,"form":null,"comment":"Triplet (3),ECPP"}
{"rank":5435,"prime":"57612705200181*2^69801+1","digits":21026,"year":2026,"form":"k·2ⁿ±1","comment":"Triplet (2)"}
{"rank":5436,"prime":"57612705200181*2^69801-1","digits":21026,"year":2026,"form":"k·2ⁿ±1","comment":"Triplet (1)"}
{"rank":5437,"prime":"p(355646102)","digits":21000,"year":2022,"form":null,"comment":"Partitions, ECPP"}
{"rank":5438,"prime":"V(100417)/7130429037791016075118087990532064354948544338847967474370719436805470448849","digits":20911,"year":2024,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5439,"prime":"p(350199893)","digits":20838,"year":2022,"form":null,"comment":"Partitions, ECPP"}
{"rank":5440,"prime":"U(31321,1,4620)-U(31321,1,4619)","digits":20767,"year":2016,"form":null,"comment":"Lehmer number"}
{"rank":5441,"prime":"primU(102689)","digits":20715,"year":2024,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5442,"prime":"primU(105821)","digits":20598,"year":2022,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5443,"prime":"primU(172179)","digits":20540,"year":2022,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5444,"prime":"V(98081)/31189759/611955609270431/6902594225498651/641303018340927841","digits":20442,"year":2024,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5445,"prime":"U(11200,-1,5039)","digits":20400,"year":2004,"form":"Generalized Lucas","comment":"Generalized Lucas number, cyclotomy"}
{"rank":5446,"prime":"51989197414600215*2^67202-1","digits":20247,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5447,"prime":"51989197414600215*2^67201-1","digits":20247,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5448,"prime":"51989197414600215*2^67200-1","digits":20246,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5449,"prime":"4404139952163*2^67002+1","digits":20183,"year":2024,"form":"k·2ⁿ±1","comment":"Triplet (3)"}
{"rank":5450,"prime":"4404139952163*2^67002-1","digits":20183,"year":2024,"form":"k·2ⁿ±1","comment":"Triplet (2)"}
{"rank":5451,"prime":"4404139952163*2^67002-5","digits":20183,"year":2024,"form":null,"comment":"Triplet (1), ECPP"}
{"rank":5452,"prime":"Phi(23749,-10)","digits":20160,"year":2014,"form":null,"comment":"Unique, ECPP"}
{"rank":5453,"prime":"primV(112028)","digits":20063,"year":2022,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5454,"prime":"1128330746865*2^66441-1","digits":20013,"year":2020,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5455,"prime":"1128330746865*2^66440-1","digits":20013,"year":2020,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5456,"prime":"1128330746865*2^66439-1","digits":20013,"year":2020,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5457,"prime":"4111286921397*2^66420+5","digits":20008,"year":2019,"form":null,"comment":"Triplet (3)"}
{"rank":5458,"prime":"4111286921397*2^66420+1","digits":20008,"year":2019,"form":"k·2ⁿ±1","comment":"Triplet (2)"}
{"rank":5459,"prime":"4111286921397*2^66420-1","digits":20008,"year":2019,"form":"k·2ⁿ±1","comment":"Triplet (1)"}
{"rank":5460,"prime":"p(322610098)","digits":20000,"year":2022,"form":null,"comment":"Partitions, ECPP"}
{"rank":5461,"prime":"primV(151521)","digits":19863,"year":2022,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5462,"prime":"V(94823)","digits":19817,"year":2014,"form":"Lucas","comment":"Lucas number, ECPP"}
{"rank":5463,"prime":"U(8454,-1,5039)","digits":19785,"year":2013,"form":"Generalized Lucas","comment":"Generalized Lucas number"}
{"rank":5464,"prime":"(2^64381-1)/18252318785612645711774019109285438988204922542528174996118699181907547497","digits":19308,"year":2024,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5465,"prime":"V(91943)/551659/2390519/9687119153094919","digits":19187,"year":2022,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5466,"prime":"(V(428,1,8019)-1)/(V(428,1,729)-1)","digits":19184,"year":2022,"form":null,"comment":"Lehmer primitive part, ECPP"}
{"rank":5467,"prime":"V(91873)/3674921/193484539/167745030829","digits":19175,"year":2022,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5468,"prime":"(2^63703-1)/42808417","digits":19169,"year":2014,"form":"Mersenne cofactor","comment":"Mersenne cofactor, ECPP"}
{"rank":5469,"prime":"primU(137439)","digits":19148,"year":2022,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5470,"prime":"primU(107779)","digits":18980,"year":2022,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5471,"prime":"(U(162,1,8581)+U(162,1,8580))/(U(162,1,66)+U(162,1,65))","digits":18814,"year":2022,"form":null,"comment":"Lehmer primitive part, ECPP"}
{"rank":5472,"prime":"V(89849)","digits":18778,"year":2014,"form":"Lucas","comment":"Lucas number, ECPP"}
{"rank":5473,"prime":"primV(145353)","digits":18689,"year":2013,"form":"Lucas","comment":"ECPP, Lucas primitive part"}
{"rank":5474,"prime":"Phi(14943,-100)","digits":18688,"year":2014,"form":null,"comment":"Unique, ECPP"}
{"rank":5475,"prime":"(U(859,1,6385)-U(859,1,6384))/(U(859,1,57)-U(859,1,56))","digits":18567,"year":2022,"form":null,"comment":"Lehmer primitive part, ECPP"}
{"rank":5476,"prime":"Phi(18827,10)","digits":18480,"year":2014,"form":null,"comment":"Unique, ECPP"}
{"rank":5477,"prime":"primB(220895)","digits":18465,"year":2022,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5478,"prime":"primV(153279)","digits":18283,"year":2022,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5479,"prime":"42209#+1","digits":18241,"year":1999,"form":"Primorial","comment":"Primorial"}
{"rank":5480,"prime":"(V(46662,1,3879)-1)/(V(46662,1,9)-1)","digits":18069,"year":2012,"form":null,"comment":"Lehmer primitive part"}
{"rank":5481,"prime":"V(86477)/1042112515940998434071039","digits":18049,"year":2020,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5482,"prime":"7457*2^59659+1","digits":17964,"year":1997,"form":"Cullen","comment":"Cullen"}
{"rank":5483,"prime":"primB(235015)","digits":17856,"year":2022,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5484,"prime":"primV(148197)","digits":17696,"year":2022,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5485,"prime":"(V(447,1,6723)+1)/(V(447,1,81)+1)","digits":17604,"year":2022,"form":null,"comment":"Lehmer primitive part, ECPP"}
{"rank":5486,"prime":"Phi(26031,-10)","digits":17353,"year":2014,"form":null,"comment":"Unique, ECPP"}
{"rank":5487,"prime":"primV(169830)","digits":17335,"year":2022,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5488,"prime":"(V(561,1,6309)+1)/(V(561,1,9)+1)","digits":17319,"year":2016,"form":null,"comment":"Lehmer primitive part"}
{"rank":5489,"prime":"U(81839)","digits":17103,"year":2001,"form":"Fibonacci","comment":"Fibonacci number"}
{"rank":5490,"prime":"V(81671)","digits":17069,"year":2013,"form":"Lucas","comment":"Lucas number, ECPP"}
{"rank":5491,"prime":"primV(101510)","digits":16970,"year":2022,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5492,"prime":"primV(86756)","digits":16920,"year":2015,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5493,"prime":"V(80761)/570100885555095451","digits":16861,"year":2020,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5494,"prime":"6521953289619*2^55555+1","digits":16737,"year":2013,"form":"k·2ⁿ±1","comment":"Triplet (3)"}
{"rank":5495,"prime":"6521953289619*2^55555-1","digits":16737,"year":2013,"form":"k·2ⁿ±1","comment":"Triplet (2)"}
{"rank":5496,"prime":"6521953289619*2^55555-5","digits":16737,"year":2013,"form":null,"comment":"Triplet (1), ECPP"}
{"rank":5497,"prime":"primV(122754)","digits":16653,"year":2021,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5498,"prime":"p(221444161)","digits":16569,"year":2017,"form":null,"comment":"Partitions, ECPP"}
{"rank":5499,"prime":"primA(201485)","digits":16535,"year":2022,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5500,"prime":"U(78919)/15574900936381642440917","digits":16471,"year":2020,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5501,"prime":"17484430616589*2^54201+5","digits":16330,"year":2024,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=6), ECPP"}
{"rank":5502,"prime":"17484430616589*2^54201-1","digits":16330,"year":2024,"form":"k·2ⁿ±1","comment":"Consecutive primes arithmetic progression (2,d=6)"}
{"rank":5503,"prime":"17484430616589*2^54201-7","digits":16330,"year":2024,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=6), ECPP"}
{"rank":5504,"prime":"primV(123573)","digits":16198,"year":2019,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5505,"prime":"primB(225785)","digits":16176,"year":2022,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5506,"prime":"V(77417)/313991497376559420151","digits":16159,"year":2020,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5507,"prime":"-E(5186)/295970922359784619239409649676896529941379763","digits":15954,"year":2018,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5508,"prime":"primV(121227)","digits":15890,"year":2019,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5509,"prime":"Phi(2949,-100000000)","digits":15713,"year":2013,"form":null,"comment":"Unique, ECPP"}
{"rank":5510,"prime":"primU(131481)","digits":15695,"year":2019,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5511,"prime":"primV(120258)","digits":15649,"year":2019,"form":"Lucas","comment":"Lucas primitive part, ECPP"}
{"rank":5512,"prime":"primB(183835)","digits":15368,"year":2019,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5513,"prime":"primU(77387)","digits":15319,"year":2019,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5514,"prime":"primB(181705)","digits":15189,"year":2019,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5515,"prime":"U(71983)/5614673/363946049","digits":15028,"year":2018,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5516,"prime":"2494779036241*2^49800+13","digits":15004,"year":2022,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=6)"}
{"rank":5517,"prime":"2494779036241*2^49800+7","digits":15004,"year":2022,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=6)"}
{"rank":5518,"prime":"2494779036241*2^49800+1","digits":15004,"year":2022,"form":"k·2ⁿ±1","comment":"Consecutive primes arithmetic progression (1,d=6)"}
{"rank":5519,"prime":"primB(268665)","digits":14972,"year":2019,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5520,"prime":"Phi(5015,-10000)","digits":14848,"year":2013,"form":null,"comment":"Unique, ECPP"}
{"rank":5521,"prime":"2^49207-2^24604+1","digits":14813,"year":2000,"form":"Generalized unique","comment":"Gaussian Mersenne norm 29, generalized unique"}
{"rank":5522,"prime":"214923707595*2^49073+1","digits":14784,"year":2025,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5523,"prime":"214923707595*2^49072+1","digits":14784,"year":2025,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5524,"prime":"214923707595*2^49071+1","digits":14784,"year":2025,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5525,"prime":"primA(284895)","digits":14626,"year":2019,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5526,"prime":"U(69239)/1384781","digits":14464,"year":2018,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5527,"prime":"primA(170575)","digits":14258,"year":2018,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5528,"prime":"V(68213)/7290202116115634431","digits":14237,"year":2018,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5529,"prime":"p(158931035)","digits":14036,"year":2026,"form":null,"comment":"Partitions,ECPP"}
{"rank":5530,"prime":"p(158917403)","digits":14035,"year":2026,"form":null,"comment":"Partitions,ECPP"}
{"rank":5531,"prime":"p(158898550)","digits":14034,"year":2026,"form":null,"comment":"Partitions,ECPP"}
{"rank":5532,"prime":"p(158788742)","digits":14029,"year":2026,"form":null,"comment":"Partitions,ECPP"}
{"rank":5533,"prime":"p(158635927)","digits":14022,"year":2026,"form":null,"comment":"Partitions,ECPP"}
{"rank":5534,"prime":"p(158569348)","digits":14020,"year":2026,"form":null,"comment":"Partitions,ECPP"}
{"rank":5535,"prime":"p(158507386)","digits":14017,"year":2026,"form":null,"comment":"Partitions,ECPP"}
{"rank":5536,"prime":"p(158447043)","digits":14014,"year":2026,"form":null,"comment":"Partitions, ECPP"}
{"rank":5537,"prime":"p(158430002)","digits":14013,"year":2026,"form":null,"comment":"Partitions,ECPP"}
{"rank":5538,"prime":"p(158381443)","digits":14011,"year":2026,"form":null,"comment":"Partitions,ECPP"}
{"rank":5539,"prime":"primU(67703)","digits":13954,"year":2018,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5540,"prime":"U(66947)/12485272838388758877279873712131648167413","digits":13951,"year":2017,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5541,"prime":"V(66533)/2128184670585621839884209100279","digits":13875,"year":2018,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5542,"prime":"6*Bern(5534)/226840561549600012633271691723599339","digits":13862,"year":2014,"form":null,"comment":"Irregular, ECPP"}
{"rank":5543,"prime":"4410546*Bern(5526)/9712202742835546740714595866405369616019","digits":13840,"year":2018,"form":null,"comment":"Irregular,ECPP"}
{"rank":5544,"prime":"191279029*32003#+1","digits":13773,"year":2025,"form":null,"comment":"Arithmetic progression (5,d=20571563*32003#)"}
{"rank":5545,"prime":"170707466*32003#+1","digits":13773,"year":2025,"form":null,"comment":"Arithmetic progression (4,d=20571563*32003#)"}
{"rank":5546,"prime":"150135903*32003#+1","digits":13773,"year":2025,"form":null,"comment":"Arithmetic progression (3,d=20571563*32003#)"}
{"rank":5547,"prime":"129564340*32003#+1","digits":13773,"year":2025,"form":null,"comment":"Arithmetic progression (2,d=20571563*32003#)"}
{"rank":5548,"prime":"108992777*32003#+1","digits":13773,"year":2025,"form":null,"comment":"Arithmetic progression (1,d=20571563*32003#)"}
{"rank":5549,"prime":"primB(163595)","digits":13675,"year":2018,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5550,"prime":"6*Bern(5462)/23238026668982614152809832227","digits":13657,"year":2013,"form":null,"comment":"Irregular, ECPP"}
{"rank":5551,"prime":"56667641271*2^44441+5","digits":13389,"year":2022,"form":null,"comment":"Triplet (3), ECPP"}
{"rank":5552,"prime":"56667641271*2^44441+1","digits":13389,"year":2022,"form":"k·2ⁿ±1","comment":"Triplet (2)"}
{"rank":5553,"prime":"56667641271*2^44441-1","digits":13389,"year":2022,"form":"k·2ⁿ±1","comment":"Triplet (1)"}
{"rank":5554,"prime":"V(64063)/464426465381142115542697818362662865912299","digits":13347,"year":2024,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5555,"prime":"512792361*30941#+1","digits":13338,"year":2022,"form":null,"comment":"Arithmetic progression (5,d=18195056*30941#)"}
{"rank":5556,"prime":"494597305*30941#+1","digits":13338,"year":2022,"form":null,"comment":"Arithmetic progression (4,d=18195056*30941#)"}
{"rank":5557,"prime":"476402249*30941#+1","digits":13338,"year":2022,"form":null,"comment":"Arithmetic progression (3,d=18195056*30941#)"}
{"rank":5558,"prime":"458207193*30941#+1","digits":13338,"year":2022,"form":null,"comment":"Arithmetic progression (2,d=18195056*30941#)"}
{"rank":5559,"prime":"440012137*30941#+1","digits":13338,"year":2022,"form":null,"comment":"Arithmetic progression (1,d=18195056*30941#)"}
{"rank":5560,"prime":"1815615642825*2^44046-1","digits":13272,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5561,"prime":"1815615642825*2^44045-1","digits":13272,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5562,"prime":"1815615642825*2^44044-1","digits":13271,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5563,"prime":"primU(94551)","digits":13174,"year":2018,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5564,"prime":"primB(242295)","digits":13014,"year":2018,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5565,"prime":"U(61813)/594517433/3761274442997","digits":12897,"year":2018,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5566,"prime":"(2^42737+1)/3","digits":12865,"year":2007,"form":"Wagstaff","comment":"ECPP, generalized Lucas number, Wagstaff"}
{"rank":5567,"prime":"primU(62771)","digits":12791,"year":2018,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5568,"prime":"primA(154415)","digits":12728,"year":2018,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5569,"prime":"primA(263865)","digits":12570,"year":2018,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5570,"prime":"6*Bern(5078)/643283455240626084534218914061","digits":12533,"year":2013,"form":null,"comment":"Irregular, ECPP"}
{"rank":5571,"prime":"U(59369)/24424236691484660394583037561699885688092693836440759407570209763004757","digits":12337,"year":2015,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5572,"prime":"742478255901*2^40069+1","digits":12074,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5573,"prime":"742478255901*2^40068+1","digits":12074,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5574,"prime":"742478255901*2^40067+1","digits":12074,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5575,"prime":"996824343*2^40074+1","digits":12073,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5576,"prime":"996824343*2^40073+1","digits":12073,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5577,"prime":"996824343*2^40072+1","digits":12072,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5578,"prime":"664342014133*2^39840+1","digits":12005,"year":2020,"form":"k·2ⁿ±1","comment":"Consecutive primes arithmetic progression (3,d=30)"}
{"rank":5579,"prime":"664342014133*2^39840-29","digits":12005,"year":2020,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=30), ECPP"}
{"rank":5580,"prime":"664342014133*2^39840-59","digits":12005,"year":2020,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=30), ECPP"}
{"rank":5581,"prime":"V(56003)","digits":11704,"year":2006,"form":"Lucas","comment":"Lucas number"}
{"rank":5582,"prime":"primA(143705)","digits":11703,"year":2017,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5583,"prime":"primU(73025)","digits":11587,"year":2015,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5584,"prime":"primU(67781)","digits":11587,"year":2015,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5585,"prime":"primB(219165)","digits":11557,"year":2015,"form":"Lucas","comment":"Lucas Aurifeuillian primitive part, ECPP"}
{"rank":5586,"prime":"198429723072*11^11005+1","digits":11472,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5587,"prime":"99214861536*11^11005+1","digits":11472,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5588,"prime":"49607430768*11^11005+1","digits":11472,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5589,"prime":"U(54799)/4661437953906084533621577211561","digits":11422,"year":2015,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5590,"prime":"U(54521)/6403194135342743624071073","digits":11370,"year":2015,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5591,"prime":"primU(67825)","digits":11336,"year":2007,"form":"Fibonacci","comment":"Fibonacci primitive part"}
{"rank":5592,"prime":"3610!-1","digits":11277,"year":1993,"form":"Factorial","comment":"Factorial"}
{"rank":5593,"prime":"U(53189)/69431662887136064191105625570683133711989","digits":11075,"year":2014,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5594,"prime":"primU(61733)","digits":11058,"year":2015,"form":"Fibonacci","comment":"Fibonacci primitive part, ECPP"}
{"rank":5595,"prime":"778965587811*2^36627-1","digits":11038,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5596,"prime":"778965587811*2^36626-1","digits":11038,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5597,"prime":"778965587811*2^36625-1","digits":11038,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5598,"prime":"V(52859)/1124137922466041911","digits":11029,"year":2014,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5599,"prime":"3507!-1","digits":10912,"year":1992,"form":"Factorial","comment":"Factorial"}
{"rank":5600,"prime":"V(52201)/70585804042896975505694709575919458733851279868446609","digits":10857,"year":2015,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5601,"prime":"V(52009)/39772636393178951550299332730909","digits":10838,"year":2015,"form":"Lucas","comment":"Lucas cofactor, ECPP"}
{"rank":5602,"prime":"1258566*Bern(4462)/6610083971965402783802518108033","digits":10763,"year":2013,"form":null,"comment":"Irregular, ECPP"}
{"rank":5603,"prime":"3428602715439*2^35678+13","digits":10753,"year":2020,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=6), ECPP"}
{"rank":5604,"prime":"3428602715439*2^35678+7","digits":10753,"year":2020,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=6), ECPP"}
{"rank":5605,"prime":"3428602715439*2^35678+1","digits":10753,"year":2020,"form":"k·2ⁿ±1","comment":"Consecutive primes arithmetic progression (1,d=6)"}
{"rank":5606,"prime":"V(51169)","digits":10694,"year":2001,"form":"Lucas","comment":"Lucas number"}
{"rank":5607,"prime":"U(51031)/95846689435051369","digits":10648,"year":2014,"form":"Fibonacci","comment":"Fibonacci cofactor, ECPP"}
{"rank":5608,"prime":"U(50833)","digits":10624,"year":2005,"form":"Fibonacci","comment":"Fibonacci number"}
{"rank":5609,"prime":"2683143625525*2^35176+13","digits":10602,"year":2019,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=6),ECPP"}
{"rank":5610,"prime":"2683143625525*2^35176+7","digits":10602,"year":2019,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=6),ECPP"}
{"rank":5611,"prime":"2683143625525*2^35176+1","digits":10602,"year":2019,"form":"k·2ⁿ±1","comment":"Consecutive primes arithmetic progression (1,d=6)"}
{"rank":5612,"prime":"3020616601*24499#+1","digits":10593,"year":2021,"form":null,"comment":"Arithmetic progression (6,d=56497325*24499#)"}
{"rank":5613,"prime":"2964119276*24499#+1","digits":10593,"year":2021,"form":null,"comment":"Arithmetic progression (5,d=56497325*24499#)"}
{"rank":5614,"prime":"2907621951*24499#+1","digits":10593,"year":2021,"form":null,"comment":"Arithmetic progression (4,d=56497325*24499#)"}
{"rank":5615,"prime":"2851124626*24499#+1","digits":10593,"year":2021,"form":null,"comment":"Arithmetic progression (3,d=56497325*24499#)"}
{"rank":5616,"prime":"2794627301*24499#+1","digits":10593,"year":2021,"form":null,"comment":"Arithmetic progression (2,d=56497325*24499#)"}
{"rank":5617,"prime":"2738129976*24499#+1","digits":10593,"year":2021,"form":null,"comment":"Arithmetic progression (1,d=56497325*24499#)"}
{"rank":5618,"prime":"24029#+1","digits":10387,"year":1993,"form":"Primorial","comment":"Primorial"}
{"rank":5619,"prime":"400791048*24001#+1","digits":10378,"year":2018,"form":null,"comment":"Arithmetic progression (5,d=59874860*24001#)"}
{"rank":5620,"prime":"393142614*24001#+1","digits":10378,"year":2018,"form":null,"comment":"Arithmetic progression (5,d=54840724*24001#)"}
{"rank":5621,"prime":"340916188*24001#+1","digits":10378,"year":2018,"form":null,"comment":"Arithmetic progression (4,d=59874860*24001#)"}
{"rank":5622,"prime":"338301890*24001#+1","digits":10378,"year":2018,"form":null,"comment":"Arithmetic progression (4,d=54840724*24001#)"}
{"rank":5623,"prime":"283461166*24001#+1","digits":10377,"year":2018,"form":null,"comment":"Arithmetic progression (3,d=54840724*24001#)"}
{"rank":5624,"prime":"281041328*24001#+1","digits":10377,"year":2018,"form":null,"comment":"Arithmetic progression (3,d=59874860*24001#)"}
{"rank":5625,"prime":"228620442*24001#+1","digits":10377,"year":2018,"form":null,"comment":"Arithmetic progression (2,d=54840724*24001#)"}
{"rank":5626,"prime":"221488788*24001#+1","digits":10377,"year":2018,"form":null,"comment":"Arithmetic progression (5,d=22703701*24001#)"}
{"rank":5627,"prime":"221166468*24001#+1","digits":10377,"year":2018,"form":null,"comment":"Arithmetic progression (2,d=59874860*24001#)"}
{"rank":5628,"prime":"198785087*24001#+1","digits":10377,"year":2018,"form":null,"comment":"Arithmetic progression (4,d=22703701*24001#)"}
{"rank":5629,"prime":"176081386*24001#+1","digits":10377,"year":2018,"form":null,"comment":"Arithmetic progression (3,d=22703701*24001#)"}
{"rank":5630,"prime":"173779718*24001#+1","digits":10377,"year":2018,"form":null,"comment":"Arithmetic progression (1,d=54840724*24001#)"}
{"rank":5631,"prime":"163456812*24001#+1","digits":10377,"year":2018,"form":null,"comment":"Arithmetic progression (2,d=10601738*24001#)"}
{"rank":5632,"prime":"161291608*24001#+1","digits":10377,"year":2018,"form":null,"comment":"Arithmetic progression (1,d=59874860*24001#)"}
{"rank":5633,"prime":"152855074*24001#+1","digits":10377,"year":2018,"form":null,"comment":"Arithmetic progression (1,d=10601738*24001#)"}
{"rank":5634,"prime":"6*Bern(4306)/2153","digits":10342,"year":2009,"form":null,"comment":"Irregular, ECPP"}
{"rank":5635,"prime":"23801#+1","digits":10273,"year":1993,"form":"Primorial","comment":"Primorial"}
{"rank":5636,"prime":"667674063382677*2^33608+7","digits":10132,"year":2019,"form":null,"comment":"Quadruplet (4), ECPP"}
{"rank":5637,"prime":"667674063382677*2^33608+5","digits":10132,"year":2019,"form":null,"comment":"Quadruplet (3), ECPP"}
{"rank":5638,"prime":"667674063382677*2^33608+1","digits":10132,"year":2019,"form":"k·2ⁿ±1","comment":"Quadruplet (2)"}
{"rank":5639,"prime":"667674063382677*2^33608-1","digits":10132,"year":2019,"form":"k·2ⁿ±1","comment":"Quadruplet (1)"}
{"rank":5640,"prime":"32469*2^32469+1","digits":9779,"year":1997,"form":"Cullen","comment":"Cullen"}
{"rank":5641,"prime":"8073*2^32294+1","digits":9726,"year":1997,"form":"Cullen","comment":"Cullen"}
{"rank":5642,"prime":"E(3308)/39308792292493140803643373186476368389461245","digits":9516,"year":2014,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5643,"prime":"V(44507)","digits":9302,"year":2005,"form":"Lucas","comment":"Lucas number"}
{"rank":5644,"prime":"2^27529-2^13765+1","digits":8288,"year":2000,"form":"Generalized unique","comment":"Gaussian Mersenne norm 28, generalized unique"}
{"rank":5645,"prime":"18523#+1","digits":8002,"year":1989,"form":"Primorial","comment":"Primorial"}
{"rank":5646,"prime":"6*Bern(3458)/28329084584758278770932715893606309","digits":7945,"year":2013,"form":null,"comment":"Irregular, ECPP"}
{"rank":5647,"prime":"U(37511)","digits":7839,"year":2005,"form":"Fibonacci","comment":"Fibonacci number"}
{"rank":5648,"prime":"-E(2762)/2670541","digits":7760,"year":2004,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5649,"prime":"V(36779)","digits":7687,"year":2005,"form":"Lucas","comment":"Lucas number"}
{"rank":5650,"prime":"U(35999)","digits":7523,"year":2001,"form":"Fibonacci","comment":"Fibonacci number, cyclotomy"}
{"rank":5651,"prime":"V(35449)","digits":7409,"year":2001,"form":"Lucas","comment":"Lucas number"}
{"rank":5652,"prime":"-30*Bern(3176)/66896931000568729893868337398130897205591897362591275370617658634396391181","digits":7138,"year":2016,"form":null,"comment":"Irregular, ECPP"}
{"rank":5653,"prime":"2154675239*16301#+1","digits":7036,"year":2018,"form":null,"comment":"Arithmetic progression (6,d=141836149*16301#)"}
{"rank":5654,"prime":"2012839090*16301#+1","digits":7036,"year":2018,"form":null,"comment":"Arithmetic progression (5,d=141836149*16301#)"}
{"rank":5655,"prime":"1871002941*16301#+1","digits":7036,"year":2018,"form":null,"comment":"Arithmetic progression (4,d=141836149*16301#)"}
{"rank":5656,"prime":"1729166792*16301#+1","digits":7036,"year":2018,"form":null,"comment":"Arithmetic progression (3,d=141836149*16301#)"}
{"rank":5657,"prime":"1587330643*16301#+1","digits":7035,"year":2018,"form":null,"comment":"Arithmetic progression (2,d=141836149*16301#)"}
{"rank":5658,"prime":"1445494494*16301#+1","digits":7035,"year":2018,"form":null,"comment":"Arithmetic progression (1,d=141836149*16301#)"}
{"rank":5659,"prime":"-10365630*Bern(3100)/1670366116112864481699585217650438278080436881373643007997602585219667","digits":6943,"year":2016,"form":null,"comment":"Irregular ECPP"}
{"rank":5660,"prime":"23005*2^23005-1","digits":6930,"year":1997,"form":"Woodall","comment":"Woodall"}
{"rank":5661,"prime":"22971*2^22971-1","digits":6920,"year":1997,"form":"Woodall","comment":"Woodall"}
{"rank":5662,"prime":"15877#-1","digits":6845,"year":1992,"form":"Primorial","comment":"Primorial"}
{"rank":5663,"prime":"6*Bern(2974)/19622040971147542470479091157507","digits":6637,"year":2013,"form":null,"comment":"Irregular, ECPP"}
{"rank":5664,"prime":"U(30757)","digits":6428,"year":2001,"form":"Fibonacci","comment":"Fibonacci number, cyclotomy"}
{"rank":5665,"prime":"E(2220)/392431891068600713525","digits":6011,"year":2013,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5666,"prime":"-E(2202)/53781055550934778283104432814129020709","digits":5938,"year":2013,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5667,"prime":"13649#+1","digits":5862,"year":1987,"form":"Primorial","comment":"Primorial"}
{"rank":5668,"prime":"274386*Bern(2622)/8518594882415401157891061256276973722693","digits":5701,"year":2013,"form":null,"comment":"Irregular, ECPP"}
{"rank":5669,"prime":"18885*2^18885-1","digits":5690,"year":1987,"form":"Woodall","comment":"Woodall"}
{"rank":5670,"prime":"1963!-1","digits":5614,"year":1992,"form":"Factorial","comment":"Factorial"}
{"rank":5671,"prime":"289*2^18502+1","digits":5573,"year":1984,"form":"Generalized Fermat","comment":"Cullen, generalized Fermat"}
{"rank":5672,"prime":"E(2028)/11246153954845684745","digits":5412,"year":2011,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5673,"prime":"-30*Bern(2504)/124823009031523233560240637343822165241758149026675581438903418303340323897","digits":5354,"year":2013,"form":null,"comment":"Irregular ECPP"}
{"rank":5674,"prime":"U(25561)","digits":5342,"year":2001,"form":"Fibonacci","comment":"Fibonacci number"}
{"rank":5675,"prime":"-E(1990)/8338208577950624722417016286765473477033741642105671913","digits":5258,"year":2013,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5676,"prime":"33957462*Bern(2370)/40685","digits":5083,"year":2003,"form":null,"comment":"Irregular, ECPP"}
{"rank":5677,"prime":"4122429552750669*2^16567+7","digits":5003,"year":2016,"form":null,"comment":"Quadruplet (4), ECPP"}
{"rank":5678,"prime":"4122429552750669*2^16567+5","digits":5003,"year":2016,"form":null,"comment":"Quadruplet (3), ECPP"}
{"rank":5679,"prime":"4122429552750669*2^16567+1","digits":5003,"year":2016,"form":"k·2ⁿ±1","comment":"Quadruplet (2)"}
{"rank":5680,"prime":"4122429552750669*2^16567-1","digits":5003,"year":2016,"form":"k·2ⁿ±1","comment":"Quadruplet (1)"}
{"rank":5681,"prime":"35734184537*11677#/3+9","digits":5002,"year":2024,"form":null,"comment":"Consecutive primes arithmetic progression (4,d=6), ECPP"}
{"rank":5682,"prime":"35734184537*11677#/3+3","digits":5002,"year":2024,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=6), ECPP"}
{"rank":5683,"prime":"35734184537*11677#/3-3","digits":5002,"year":2024,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=6), ECPP"}
{"rank":5684,"prime":"35734184537*11677#/3-9","digits":5002,"year":2024,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=6), ECPP"}
{"rank":5685,"prime":"E(1840)/31237282053878368942060412182384934425","digits":4812,"year":2011,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5686,"prime":"1297835946944*11171#+1","digits":4809,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (8p-7)"}
{"rank":5687,"prime":"648917973472*11171#+1","digits":4809,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5688,"prime":"324458986736*11171#+1","digits":4809,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5689,"prime":"162229493368*11171#+1","digits":4808,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5690,"prime":"7911*2^15823-1","digits":4768,"year":1987,"form":"Woodall","comment":"Woodall"}
{"rank":5691,"prime":"E(1736)/13510337079405137518589526468536905","digits":4498,"year":2004,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5692,"prime":"2^14699+2^7350+1","digits":4425,"year":2000,"form":"Generalized unique","comment":"Gaussian Mersenne norm 27, generalized unique"}
{"rank":5693,"prime":"744029027072*10111#-1","digits":4362,"year":2025,"form":"Cunningham chain","comment":"Cunningham chain (8p+7)"}
{"rank":5694,"prime":"372014513536*10111#-1","digits":4362,"year":2025,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5695,"prime":"186007256768*10111#-1","digits":4362,"year":2025,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5696,"prime":"93003628384*10111#-1","digits":4361,"year":2025,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5697,"prime":"(2^14479+1)/3","digits":4359,"year":2004,"form":"Wagstaff","comment":"Generalized Lucas number, Wagstaff, ECPP"}
{"rank":5698,"prime":"234510217608*10009#+1","digits":4318,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (8p-7)"}
{"rank":5699,"prime":"117255108804*10009#+1","digits":4317,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5700,"prime":"58627554402*10009#+1","digits":4317,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5701,"prime":"29313777201*10009#+1","digits":4317,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5702,"prime":"62399583639*9923#-3399421517","digits":4285,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (4,d=30), ECPP"}
{"rank":5703,"prime":"62399583639*9923#-3399421547","digits":4285,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=30), ECPP"}
{"rank":5704,"prime":"62399583639*9923#-3399421577","digits":4285,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=30), ECPP"}
{"rank":5705,"prime":"62399583639*9923#-3399421607","digits":4285,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=30), ECPP"}
{"rank":5706,"prime":"49325406476*9811#*8+1","digits":4234,"year":2019,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (8p-7)"}
{"rank":5707,"prime":"49325406476*9811#*4+1","digits":4234,"year":2019,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5708,"prime":"49325406476*9811#*2+1","digits":4233,"year":2019,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5709,"prime":"49325406476*9811#+1","digits":4233,"year":2019,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5710,"prime":"276474*Bern(2030)/469951697500688159155","digits":4200,"year":2003,"form":null,"comment":"Irregular, ECPP"}
{"rank":5711,"prime":"V(19469)","digits":4069,"year":2002,"form":"Lucas","comment":"Lucas number, cyclotomy, APR-CL assisted"}
{"rank":5712,"prime":"1477!+1","digits":4042,"year":1984,"form":"Factorial","comment":"Factorial"}
{"rank":5713,"prime":"-2730*Bern(1884)/100983617849","digits":3844,"year":2003,"form":null,"comment":"Irregular, ECPP"}
{"rank":5714,"prime":"(1049713153083*2917#*(567*2917#+1)+2310)*(567*2917#-1)/210+9","digits":3753,"year":2023,"form":null,"comment":"Quadruplet (4),ECPP"}
{"rank":5715,"prime":"(1049713153083*2917#*(567*2917#+1)+2310)*(567*2917#-1)/210+7","digits":3753,"year":2023,"form":null,"comment":"Quadruplet (3),ECPP"}
{"rank":5716,"prime":"(1049713153083*2917#*(567*2917#+1)+2310)*(567*2917#-1)/210+3","digits":3753,"year":2023,"form":null,"comment":"Quadruplet (2),ECPP"}
{"rank":5717,"prime":"(1049713153083*2917#*(567*2917#+1)+2310)*(567*2917#-1)/210+1","digits":3753,"year":2023,"form":null,"comment":"Quadruplet (1),ECPP"}
{"rank":5718,"prime":"12379*2^12379-1","digits":3731,"year":1984,"form":"Woodall","comment":"Woodall"}
{"rank":5719,"prime":"(2^12391+1)/3","digits":3730,"year":1996,"form":"Wagstaff","comment":"Generalized Lucas number, Wagstaff"}
{"rank":5720,"prime":"-E(1466)/167900532276654417372106952612534399239","digits":3682,"year":2013,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5721,"prime":"E(1468)/12330876589623053882799895025030461658552339028064108285","digits":3671,"year":2003,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5722,"prime":"1268118079424*8501#-1","digits":3640,"year":2023,"form":"Cunningham chain","comment":"Cunningham chain (8p+7)"}
{"rank":5723,"prime":"634059039712*8501#-1","digits":3640,"year":2023,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5724,"prime":"317029519856*8501#-1","digits":3640,"year":2023,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5725,"prime":"101406820312263*2^12042+7","digits":3640,"year":2018,"form":null,"comment":"Quadruplet (4)"}
{"rank":5726,"prime":"101406820312263*2^12042+5","digits":3640,"year":2018,"form":null,"comment":"Quadruplet (3)"}
{"rank":5727,"prime":"101406820312263*2^12042+1","digits":3640,"year":2018,"form":"k·2ⁿ±1","comment":"Quadruplet (2)"}
{"rank":5728,"prime":"101406820312263*2^12042-1","digits":3640,"year":2018,"form":"k·2ⁿ±1","comment":"Quadruplet (1)"}
{"rank":5729,"prime":"158514759928*8501#-1","digits":3639,"year":2023,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5730,"prime":"2673092556681*15^3048+4","digits":3598,"year":2015,"form":null,"comment":"Quadruplet (4)"}
{"rank":5731,"prime":"2673092556681*15^3048+2","digits":3598,"year":2015,"form":null,"comment":"Quadruplet (3)"}
{"rank":5732,"prime":"2673092556681*15^3048-2","digits":3598,"year":2015,"form":null,"comment":"Quadruplet (2)"}
{"rank":5733,"prime":"2673092556681*15^3048-4","digits":3598,"year":2015,"form":null,"comment":"Quadruplet (1)"}
{"rank":5734,"prime":"6016459977*7927#-1","digits":3407,"year":2022,"form":null,"comment":"Arithmetic progression (7,d=577051223*7927#)"}
{"rank":5735,"prime":"5439408754*7927#-1","digits":3407,"year":2022,"form":null,"comment":"Arithmetic progression (6,d=577051223*7927#)"}
{"rank":5736,"prime":"4862357531*7927#-1","digits":3407,"year":2022,"form":null,"comment":"Arithmetic progression (5,d=577051223*7927#)"}
{"rank":5737,"prime":"4285306308*7927#-1","digits":3407,"year":2022,"form":null,"comment":"Arithmetic progression (4,d=577051223*7927#)"}
{"rank":5738,"prime":"3708255085*7927#-1","digits":3407,"year":2022,"form":null,"comment":"Arithmetic progression (3,d=577051223*7927#)"}
{"rank":5739,"prime":"3131203862*7927#-1","digits":3407,"year":2022,"form":null,"comment":"Arithmetic progression (2,d=577051223*7927#)"}
{"rank":5740,"prime":"2554152639*7927#-1","digits":3407,"year":2022,"form":null,"comment":"Arithmetic progression (1,d=577051223*7927#)"}
{"rank":5741,"prime":"62753735335*7919#+3399421667","digits":3404,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (4,d=30), ECPP"}
{"rank":5742,"prime":"62753735335*7919#+3399421637","digits":3404,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=30), ECPP"}
{"rank":5743,"prime":"62753735335*7919#+3399421607","digits":3404,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=30), ECPP"}
{"rank":5744,"prime":"62753735335*7919#+3399421577","digits":3404,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=30), ECPP"}
{"rank":5745,"prime":"(2^11279+1)/3","digits":3395,"year":1998,"form":"Wagstaff","comment":"Cyclotomy, generalized Lucas number, Wagstaff"}
{"rank":5746,"prime":"109766820328*7877#-1","digits":3385,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (8p+7)"}
{"rank":5747,"prime":"54883410164*7877#-1","digits":3385,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5748,"prime":"27441705082*7877#-1","digits":3384,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5749,"prime":"13720852541*7877#-1","digits":3384,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5750,"prime":"585150568069684836*7757#/85085+17","digits":3344,"year":2022,"form":null,"comment":"Quintuplet (5), ECPP"}
{"rank":5751,"prime":"585150568069684836*7757#/85085+13","digits":3344,"year":2022,"form":null,"comment":"Quintuplet (4), ECPP"}
{"rank":5752,"prime":"585150568069684836*7757#/85085+11","digits":3344,"year":2022,"form":null,"comment":"Quintuplet (3), ECPP"}
{"rank":5753,"prime":"585150568069684836*7757#/85085+7","digits":3344,"year":2022,"form":null,"comment":"Quintuplet (2), ECPP"}
{"rank":5754,"prime":"585150568069684836*7757#/85085+5","digits":3344,"year":2022,"form":null,"comment":"Quintuplet (1), ECPP"}
{"rank":5755,"prime":"104052837*7759#-1","digits":3343,"year":2017,"form":null,"comment":"Arithmetic progression (6,d=12009836*7759#)"}
{"rank":5756,"prime":"92043001*7759#-1","digits":3343,"year":2017,"form":null,"comment":"Arithmetic progression (5,d=12009836*7759#)"}
{"rank":5757,"prime":"80033165*7759#-1","digits":3343,"year":2017,"form":null,"comment":"Arithmetic progression (4,d=12009836*7759#)"}
{"rank":5758,"prime":"68023329*7759#-1","digits":3343,"year":2017,"form":null,"comment":"Arithmetic progression (3,d=12009836*7759#)"}
{"rank":5759,"prime":"56013493*7759#-1","digits":3343,"year":2017,"form":null,"comment":"Arithmetic progression (2,d=12009836*7759#)"}
{"rank":5760,"prime":"44003657*7759#-1","digits":3343,"year":2017,"form":null,"comment":"Arithmetic progression (1,d=12009836*7759#)"}
{"rank":5761,"prime":"2072453060816*7699#+1","digits":3316,"year":2019,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (8p-7)"}
{"rank":5762,"prime":"1036226530408*7699#+1","digits":3316,"year":2019,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5763,"prime":"518113265204*7699#+1","digits":3316,"year":2019,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5764,"prime":"259056632602*7699#+1","digits":3315,"year":2019,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5765,"prime":"(2^10691+1)/3","digits":3218,"year":2004,"form":"Wagstaff","comment":"Generalized Lucas number, Wagstaff, ECPP"}
{"rank":5766,"prime":"231692481512*7517#-1","digits":3218,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (8p+7)"}
{"rank":5767,"prime":"115846240756*7517#-1","digits":3218,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5768,"prime":"57923120378*7517#-1","digits":3218,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5769,"prime":"28961560189*7517#-1","digits":3217,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5770,"prime":"(1021328211729*2521#*(483*2521#+1)+2310)*(483*2521#-1)/210+19","digits":3207,"year":2023,"form":null,"comment":"Consecutive primes arithmetic progression (4,d=6),ECPP"}
{"rank":5771,"prime":"(1021328211729*2521#*(483*2521#+1)+2310)*(483*2521#-1)/210+13","digits":3207,"year":2023,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=6),ECPP"}
{"rank":5772,"prime":"(1021328211729*2521#*(483*2521#+1)+2310)*(483*2521#-1)/210+7","digits":3207,"year":2023,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=6),ECPP"}
{"rank":5773,"prime":"(1021328211729*2521#*(483*2521#+1)+2310)*(483*2521#-1)/210+1","digits":3207,"year":2023,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=6),ECPP"}
{"rank":5774,"prime":"(2^10501+1)/3","digits":3161,"year":1996,"form":"Wagstaff","comment":"Generalized Lucas number, Wagstaff"}
{"rank":5775,"prime":"2^10141+2^5071+1","digits":3053,"year":2000,"form":"Generalized unique","comment":"Gaussian Mersenne norm 26, generalized unique"}
{"rank":5776,"prime":"121152729080*7019#/1729+19","digits":3025,"year":2019,"form":null,"comment":"Consecutive primes arithmetic progression (4,d=6), ECPP"}
{"rank":5777,"prime":"121152729080*7019#/1729+13","digits":3025,"year":2019,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=6), ECPP"}
{"rank":5778,"prime":"121152729080*7019#/1729+7","digits":3025,"year":2019,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=6), ECPP"}
{"rank":5779,"prime":"121152729080*7019#/1729+1","digits":3025,"year":2019,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=6)"}
{"rank":5780,"prime":"V(14449)","digits":3020,"year":1995,"form":"Lucas","comment":"Lucas number"}
{"rank":5781,"prime":"3124777373*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (7,d=481789017*7001#)"}
{"rank":5782,"prime":"2996180304*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (6,d=46793757*7001#)"}
{"rank":5783,"prime":"2949386547*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (5,d=46793757*7001#)"}
{"rank":5784,"prime":"2946259686*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (6,d=313558156*7001#)"}
{"rank":5785,"prime":"2911906960*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (5,d=3093612*7001#)"}
{"rank":5786,"prime":"2908813348*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (4,d=3093612*7001#)"}
{"rank":5787,"prime":"2905719736*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (3,d=3093612*7001#)"}
{"rank":5788,"prime":"2902626124*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (2,d=3093612*7001#)"}
{"rank":5789,"prime":"2902592790*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (4,d=46793757*7001#)"}
{"rank":5790,"prime":"2899532512*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (1,d=3093612*7001#)"}
{"rank":5791,"prime":"2855799033*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (3,d=46793757*7001#)"}
{"rank":5792,"prime":"2809005276*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (2,d=46793757*7001#)"}
{"rank":5793,"prime":"2762211519*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (1,d=46793757*7001#)"}
{"rank":5794,"prime":"2642988356*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (6,d=481789017*7001#)"}
{"rank":5795,"prime":"2161199339*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (5,d=481789017*7001#)"}
{"rank":5796,"prime":"1679410322*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (4,d=481789017*7001#)"}
{"rank":5797,"prime":"1197621305*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (3,d=481789017*7001#)"}
{"rank":5798,"prime":"715832288*7001#+1","digits":3019,"year":2012,"form":null,"comment":"Arithmetic progression (2,d=481789017*7001#)"}
{"rank":5799,"prime":"234043271*7001#+1","digits":3018,"year":2012,"form":null,"comment":"Arithmetic progression (1,d=481789017*7001#)"}
{"rank":5800,"prime":"U(14431)","digits":3016,"year":2001,"form":"Fibonacci","comment":"Fibonacci number"}
{"rank":5801,"prime":"138281163736*6977#+1","digits":3006,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (8p-7)"}
{"rank":5802,"prime":"69140581868*6977#+1","digits":3005,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5803,"prime":"34570290934*6977#+1","digits":3005,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5804,"prime":"17285145467*6977#+1","digits":3005,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5805,"prime":"375967981369*6907#*8-1","digits":2972,"year":2017,"form":"Cunningham chain","comment":"Cunningham chain (8p+7)"}
{"rank":5806,"prime":"375967981369*6907#*4-1","digits":2972,"year":2017,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5807,"prime":"375967981369*6907#*2-1","digits":2972,"year":2017,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5808,"prime":"375967981369*6907#-1","digits":2971,"year":2017,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5809,"prime":"V(13963)","digits":2919,"year":2002,"form":"Lucas","comment":"Lucas number, ECPP"}
{"rank":5810,"prime":"9531*2^9531-1","digits":2874,"year":1984,"form":"Woodall","comment":"Woodall"}
{"rank":5811,"prime":"-E(1174)/50550511342697072710795058639332351763","digits":2829,"year":2013,"form":"Euler irregular","comment":"Euler irregular, ECPP"}
{"rank":5812,"prime":"V(12251)","digits":2561,"year":2001,"form":"Lucas","comment":"Lucas number"}
{"rank":5813,"prime":"974!-1","digits":2490,"year":1992,"form":"Factorial","comment":"Factorial"}
{"rank":5814,"prime":"7755*2^7755-1","digits":2339,"year":1984,"form":"Woodall","comment":"Woodall"}
{"rank":5815,"prime":"116814018316*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (7,d=10892863626*5303#)"}
{"rank":5816,"prime":"116746086504*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (7,d=9726011684*5303#)"}
{"rank":5817,"prime":"116242725347*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (7,d=10388428124*5303#)"}
{"rank":5818,"prime":"107020074820*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (6,d=9726011684*5303#)"}
{"rank":5819,"prime":"105921154690*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (6,d=10892863626*5303#)"}
{"rank":5820,"prime":"105854297223*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (6,d=10388428124*5303#)"}
{"rank":5821,"prime":"97867278281*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (5,d=2972005888*5303#)"}
{"rank":5822,"prime":"97348096836*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (5,d=5447332033*5303#)"}
{"rank":5823,"prime":"97294063136*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (5,d=9726011684*5303#)"}
{"rank":5824,"prime":"96461651937*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (4,d=435232416*5303#)"}
{"rank":5825,"prime":"96026419521*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (3,d=435232416*5303#)"}
{"rank":5826,"prime":"95664304943*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (4,d=817534485*5303#)"}
{"rank":5827,"prime":"95591187105*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (2,d=435232416*5303#)"}
{"rank":5828,"prime":"95155954689*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (1,d=435232416*5303#)"}
{"rank":5829,"prime":"94895272393*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (4,d=2972005888*5303#)"}
{"rank":5830,"prime":"94846770458*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (3,d=817534485*5303#)"}
{"rank":5831,"prime":"94029235973*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (2,d=817534485*5303#)"}
{"rank":5832,"prime":"93984538785*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (3,d=387018369*5303#)"}
{"rank":5833,"prime":"93597520416*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (2,d=387018369*5303#)"}
{"rank":5834,"prime":"93211701488*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (1,d=817534485*5303#)"}
{"rank":5835,"prime":"93210502047*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (1,d=387018369*5303#)"}
{"rank":5836,"prime":"69285767989*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (8,d=3026809034*5303#)"}
{"rank":5837,"prime":"66258958955*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (7,d=3026809034*5303#)"}
{"rank":5838,"prime":"63232149921*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (6,d=3026809034*5303#)"}
{"rank":5839,"prime":"60205340887*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (5,d=3026809034*5303#)"}
{"rank":5840,"prime":"57178531853*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (4,d=3026809034*5303#)"}
{"rank":5841,"prime":"54151722819*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (3,d=3026809034*5303#)"}
{"rank":5842,"prime":"51124913785*5303#+1","digits":2271,"year":2019,"form":null,"comment":"Arithmetic progression (2,d=3026809034*5303#)"}
{"rank":5843,"prime":"48098104751*5303#+1","digits":2270,"year":2019,"form":null,"comment":"Arithmetic progression (1,d=3026809034*5303#)"}
{"rank":5844,"prime":"V(10691)","digits":2235,"year":1995,"form":"Lucas","comment":"Lucas number"}
{"rank":5845,"prime":"15863979409328*4813#+1","digits":2069,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (16p-15)"}
{"rank":5846,"prime":"7931989704664*4813#+1","digits":2069,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (8p-7)"}
{"rank":5847,"prime":"3965994852332*4813#+1","digits":2069,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5848,"prime":"1982997426166*4813#+1","digits":2068,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5849,"prime":"991498713083*4813#+1","digits":2068,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5850,"prime":"8724918635648*4801#-1","digits":2065,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain (16p+15)"}
{"rank":5851,"prime":"4362459317824*4801#-1","digits":2065,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain (8p+7)"}
{"rank":5852,"prime":"2181229658912*4801#-1","digits":2065,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5853,"prime":"1090614829456*4801#-1","digits":2064,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5854,"prime":"545307414728*4801#-1","digits":2064,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5855,"prime":"566761969187*4733#/2+4","digits":2034,"year":2020,"form":null,"comment":"Quintuplet (5)"}
{"rank":5856,"prime":"566761969187*4733#/2+2","digits":2034,"year":2020,"form":null,"comment":"Quintuplet (4)"}
{"rank":5857,"prime":"566761969187*4733#/2-2","digits":2034,"year":2020,"form":null,"comment":"Quintuplet (3)"}
{"rank":5858,"prime":"566761969187*4733#/2-4","digits":2034,"year":2020,"form":null,"comment":"Quintuplet (2)"}
{"rank":5859,"prime":"566761969187*4733#/2-8","digits":2034,"year":2020,"form":null,"comment":"Quintuplet (1)"}
{"rank":5860,"prime":"U(9677)","digits":2023,"year":2000,"form":"Fibonacci","comment":"Fibonacci number, ECPP"}
{"rank":5861,"prime":"7610828704751636272*4679#-1","digits":2020,"year":2024,"form":"Cunningham chain","comment":"Cunningham chain (16p+15)"}
{"rank":5862,"prime":"3805414352375818136*4679#-1","digits":2020,"year":2024,"form":"Cunningham chain","comment":"Cunningham chain (8p+7)"}
{"rank":5863,"prime":"1902707176187909068*4679#-1","digits":2019,"year":2024,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5864,"prime":"951353588093954534*4679#-1","digits":2019,"year":2024,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5865,"prime":"475676794046977267*4679#-1","digits":2019,"year":2024,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5866,"prime":"2167681045402*4663#+3399421637","digits":2006,"year":2026,"form":null,"comment":"Consecutive primes arithmetic progression (5,d=30)"}
{"rank":5867,"prime":"2167681045402*4663#+3399421607","digits":2006,"year":2026,"form":null,"comment":"Consecutive primes arithmetic progression (4,d=30)"}
{"rank":5868,"prime":"2167681045402*4663#+3399421577","digits":2006,"year":2026,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=30)"}
{"rank":5869,"prime":"2167681045402*4663#+3399421547","digits":2006,"year":2026,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=30)"}
{"rank":5870,"prime":"2167681045402*4663#+3399421517","digits":2006,"year":2026,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=30)"}
{"rank":5871,"prime":"126831252923413*4657#/273+13","digits":2002,"year":2020,"form":null,"comment":"Quintuplet (5)"}
{"rank":5872,"prime":"126831252923413*4657#/273+9","digits":2002,"year":2020,"form":null,"comment":"Quintuplet (4)"}
{"rank":5873,"prime":"126831252923413*4657#/273+7","digits":2002,"year":2020,"form":null,"comment":"Quintuplet (3)"}
{"rank":5874,"prime":"126831252923413*4657#/273+3","digits":2002,"year":2020,"form":null,"comment":"Quintuplet (2)"}
{"rank":5875,"prime":"126831252923413*4657#/273+1","digits":2002,"year":2020,"form":null,"comment":"Quintuplet (1)"}
{"rank":5876,"prime":"6611*2^6611+1","digits":1994,"year":1984,"form":"Cullen","comment":"Cullen"}
{"rank":5877,"prime":"U(9311)","digits":1946,"year":1995,"form":"Fibonacci","comment":"Fibonacci number"}
{"rank":5878,"prime":"2738129459017*4211#+3399421637","digits":1805,"year":2022,"form":null,"comment":"Consecutive primes arithmetic progression (5,d=30)"}
{"rank":5879,"prime":"2738129459017*4211#+3399421607","digits":1805,"year":2022,"form":null,"comment":"Consecutive primes arithmetic progression (4,d=30)"}
{"rank":5880,"prime":"2738129459017*4211#+3399421577","digits":1805,"year":2022,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=30)"}
{"rank":5881,"prime":"2738129459017*4211#+3399421547","digits":1805,"year":2022,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=30)"}
{"rank":5882,"prime":"2738129459017*4211#+3399421517","digits":1805,"year":2022,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=30)"}
{"rank":5883,"prime":"V(8467)","digits":1770,"year":2000,"form":"Lucas","comment":"Lucas number, ECPP"}
{"rank":5884,"prime":"5795*2^5795+1","digits":1749,"year":1984,"form":"Cullen","comment":"Cullen"}
{"rank":5885,"prime":"(2^5807+1)/3","digits":1748,"year":1998,"form":"Wagstaff","comment":"Cyclotomy, generalized Lucas number, Wagstaff"}
{"rank":5886,"prime":"54201838768*3917#-1","digits":1681,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (16p+15)"}
{"rank":5887,"prime":"27100919384*3917#-1","digits":1681,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (8p+7)"}
{"rank":5888,"prime":"13550459692*3917#-1","digits":1680,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5889,"prime":"6775229846*3917#-1","digits":1680,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5890,"prime":"3387614923*3917#-1","digits":1680,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5891,"prime":"102619722624*3797#+1","digits":1631,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (16p-15)"}
{"rank":5892,"prime":"51309861312*3797#+1","digits":1631,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (8p-7)"}
{"rank":5893,"prime":"25654930656*3797#+1","digits":1631,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5894,"prime":"12827465328*3797#+1","digits":1630,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5895,"prime":"6413732664*3797#+1","digits":1630,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5896,"prime":"394254311495*3733#/2+4","digits":1606,"year":2017,"form":null,"comment":"Quintuplet (5)"}
{"rank":5897,"prime":"394254311495*3733#/2+2","digits":1606,"year":2017,"form":null,"comment":"Quintuplet (4)"}
{"rank":5898,"prime":"394254311495*3733#/2-2","digits":1606,"year":2017,"form":null,"comment":"Quintuplet (3)"}
{"rank":5899,"prime":"394254311495*3733#/2-4","digits":1606,"year":2017,"form":null,"comment":"Quintuplet (2)"}
{"rank":5900,"prime":"394254311495*3733#/2-8","digits":1606,"year":2017,"form":null,"comment":"Quintuplet (1)"}
{"rank":5901,"prime":"78531447842897*3727#/2+4","digits":1605,"year":2026,"form":null,"comment":"Quintuplet (5)"}
{"rank":5902,"prime":"78531447842897*3727#/2+2","digits":1605,"year":2026,"form":null,"comment":"Quintuplet (4)"}
{"rank":5903,"prime":"78531447842897*3727#/2-2","digits":1605,"year":2026,"form":null,"comment":"Quintuplet (3)"}
{"rank":5904,"prime":"78531447842897*3727#/2-4","digits":1605,"year":2026,"form":null,"comment":"Quintuplet (2)"}
{"rank":5905,"prime":"78531447842897*3727#/2-8","digits":1605,"year":2026,"form":null,"comment":"Quintuplet (1)"}
{"rank":5906,"prime":"83*2^5318-1","digits":1603,"year":1984,"form":"Woodall","comment":"Woodall"}
{"rank":5907,"prime":"652229318541*3527#+3399421637","digits":1504,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (5,d=30), ECPP"}
{"rank":5908,"prime":"652229318541*3527#+3399421607","digits":1504,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (4,d=30), ECPP"}
{"rank":5909,"prime":"652229318541*3527#+3399421577","digits":1504,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=30), ECPP"}
{"rank":5910,"prime":"652229318541*3527#+3399421547","digits":1504,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=30), ECPP"}
{"rank":5911,"prime":"652229318541*3527#+3399421517","digits":1504,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=30), ECPP"}
{"rank":5912,"prime":"3199190962192*3499#-1","digits":1494,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (16p+15)"}
{"rank":5913,"prime":"1599595481096*3499#-1","digits":1493,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (8p+7)"}
{"rank":5914,"prime":"799797740548*3499#-1","digits":1493,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5915,"prime":"399898870274*3499#-1","digits":1493,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5916,"prime":"199949435137*3499#-1","digits":1493,"year":2016,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5917,"prime":"4713*2^4713+1","digits":1423,"year":1984,"form":"Cullen","comment":"Cullen"}
{"rank":5918,"prime":"449209457832*3307#+1633050403","digits":1408,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (5,d=30), ECPP"}
{"rank":5919,"prime":"449209457832*3307#+1633050373","digits":1408,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (4,d=30), ECPP"}
{"rank":5920,"prime":"449209457832*3307#+1633050343","digits":1408,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=30), ECPP"}
{"rank":5921,"prime":"449209457832*3307#+1633050313","digits":1408,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=30), ECPP"}
{"rank":5922,"prime":"449209457832*3307#+1633050283","digits":1408,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=30), ECPP"}
{"rank":5923,"prime":"5780736564512*3023#-1","digits":1301,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain (16p+15)"}
{"rank":5924,"prime":"2890368282256*3023#-1","digits":1300,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain (8p+7)"}
{"rank":5925,"prime":"1445184141128*3023#-1","digits":1300,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":5926,"prime":"722592070564*3023#-1","digits":1300,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":5927,"prime":"361296035282*3023#-1","digits":1299,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":5928,"prime":"2746496109133*3001#+27011","digits":1290,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (5,d=30), ECPP"}
{"rank":5929,"prime":"2746496109133*3001#+26981","digits":1290,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (4,d=30), ECPP"}
{"rank":5930,"prime":"2746496109133*3001#+26951","digits":1290,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=30), ECPP"}
{"rank":5931,"prime":"2746496109133*3001#+26921","digits":1290,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=30), ECPP"}
{"rank":5932,"prime":"2746496109133*3001#+26891","digits":1290,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=30), ECPP"}
{"rank":5933,"prime":"898966996992*3001#+1","digits":1289,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (16p-15)"}
{"rank":5934,"prime":"449483498496*3001#+1","digits":1289,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (8p-7)"}
{"rank":5935,"prime":"224741749248*3001#+1","digits":1289,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5936,"prime":"112370874624*3001#+1","digits":1289,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5937,"prime":"56185437312*3001#+1","digits":1288,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5938,"prime":"10778909697259681742848*2963#+1","digits":1286,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (16p-15)"}
{"rank":5939,"prime":"5389454848629840871424*2963#+1","digits":1285,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (8p-7)"}
{"rank":5940,"prime":"2694727424314920435712*2963#+1","digits":1285,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5941,"prime":"1347363712157460217856*2963#+1","digits":1285,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5942,"prime":"673681856078730108928*2963#+1","digits":1284,"year":2026,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5943,"prime":"42530119784448*2969#+1","digits":1281,"year":2017,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (16p-15)"}
{"rank":5944,"prime":"21265059892224*2969#+1","digits":1280,"year":2017,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (8p-7)"}
{"rank":5945,"prime":"10632529946112*2969#+1","digits":1280,"year":2017,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":5946,"prime":"5316264973056*2969#+1","digits":1280,"year":2017,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":5947,"prime":"2658132486528*2969#+1","digits":1279,"year":2017,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}
{"rank":5948,"prime":"U(5387)","digits":1126,"year":1990,"form":"Fibonacci","comment":"Fibonacci number"}
{"rank":5949,"prime":"8063878333289*2647#/2+8","digits":1125,"year":2026,"form":null,"comment":"Sextuplet (6)"}
{"rank":5950,"prime":"8063878333289*2647#/2+4","digits":1125,"year":2026,"form":null,"comment":"Sextuplet (5)"}
{"rank":5951,"prime":"8063878333289*2647#/2+2","digits":1125,"year":2026,"form":null,"comment":"Sextuplet (4)"}
{"rank":5952,"prime":"8063878333289*2647#/2-2","digits":1125,"year":2026,"form":null,"comment":"Sextuplet (3)"}
{"rank":5953,"prime":"8063878333289*2647#/2-4","digits":1125,"year":2026,"form":null,"comment":"Sextuplet (2)"}
{"rank":5954,"prime":"8063878333289*2647#/2-8","digits":1125,"year":2026,"form":null,"comment":"Sextuplet (1)"}
{"rank":5955,"prime":"2^3700+33888977692820810260792517467","digits":1114,"year":2026,"form":null,"comment":"Sextuplet (6)"}
{"rank":5956,"prime":"2^3700+33888977692820810260792517463","digits":1114,"year":2026,"form":null,"comment":"Sextuplet (5)"}
{"rank":5957,"prime":"2^3700+33888977692820810260792517461","digits":1114,"year":2026,"form":null,"comment":"Sextuplet (4)"}
{"rank":5958,"prime":"2^3700+33888977692820810260792517457","digits":1114,"year":2026,"form":null,"comment":"Sextuplet (3)"}
{"rank":5959,"prime":"2^3700+33888977692820810260792517455","digits":1114,"year":2026,"form":null,"comment":"Sextuplet (2)"}
{"rank":5960,"prime":"2^3700+33888977692820810260792517451","digits":1114,"year":2026,"form":null,"comment":"Sextuplet (1)"}
{"rank":5961,"prime":"1176100079*2591#+1","digits":1101,"year":2019,"form":null,"comment":"Arithmetic progression (8,d=60355670*2591#)"}
{"rank":5962,"prime":"1115744409*2591#+1","digits":1101,"year":2019,"form":null,"comment":"Arithmetic progression (7,d=60355670*2591#)"}
{"rank":5963,"prime":"2858838044189*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (8,d=1022542838*2579#)"}
{"rank":5964,"prime":"2858638245658*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (8,d=934058758*2579#)"}
{"rank":5965,"prime":"2857876262054*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (8,d=480982929*2579#)"}
{"rank":5966,"prime":"2857815501351*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (7,d=1022542838*2579#)"}
{"rank":5967,"prime":"2857704186900*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (7,d=934058758*2579#)"}
{"rank":5968,"prime":"2857395279125*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (7,d=480982929*2579#)"}
{"rank":5969,"prime":"2856914296196*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (6,d=480982929*2579#)"}
{"rank":5970,"prime":"2856792958513*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (6,d=1022542838*2579#)"}
{"rank":5971,"prime":"2856770128142*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (6,d=934058758*2579#)"}
{"rank":5972,"prime":"2856433313267*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (5,d=480982929*2579#)"}
{"rank":5973,"prime":"2855952330338*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (4,d=480982929*2579#)"}
{"rank":5974,"prime":"2855836069384*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (5,d=934058758*2579#)"}
{"rank":5975,"prime":"2855770415675*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (5,d=1022542838*2579#)"}
{"rank":5976,"prime":"2855700121879*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (6,d=77048673*2579#)"}
{"rank":5977,"prime":"2855623073206*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (5,d=77048673*2579#)"}
{"rank":5978,"prime":"2855546024533*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (4,d=77048673*2579#)"}
{"rank":5979,"prime":"2855471347409*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (3,d=480982929*2579#)"}
{"rank":5980,"prime":"2855468975860*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (3,d=77048673*2579#)"}
{"rank":5981,"prime":"2855391927187*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (2,d=77048673*2579#)"}
{"rank":5982,"prime":"2855314878514*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (1,d=77048673*2579#)"}
{"rank":5983,"prime":"2854990364480*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (2,d=480982929*2579#)"}
{"rank":5984,"prime":"2854902010626*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (4,d=934058758*2579#)"}
{"rank":5985,"prime":"2854747872837*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (4,d=1022542838*2579#)"}
{"rank":5986,"prime":"2854509381551*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (1,d=480982929*2579#)"}
{"rank":5987,"prime":"2853967951868*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (3,d=934058758*2579#)"}
{"rank":5988,"prime":"2853725329999*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (3,d=1022542838*2579#)"}
{"rank":5989,"prime":"2853033893110*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (2,d=934058758*2579#)"}
{"rank":5990,"prime":"2852702787161*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (2,d=1022542838*2579#)"}
{"rank":5991,"prime":"2852099834352*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (1,d=934058758*2579#)"}
{"rank":5992,"prime":"2851680244323*2579#+1","digits":1101,"year":2026,"form":null,"comment":"Arithmetic progression (1,d=1022542838*2579#)"}
{"rank":5993,"prime":"(2^3539+1)/3","digits":1065,"year":1989,"form":"Wagstaff","comment":"First titanic by ECPP, generalized Lucas number, Wagstaff"}
{"rank":5994,"prime":"1968492305267*2459#+1","digits":1060,"year":2026,"form":null,"comment":"Arithmetic progression (9,d=241047628*2459#)"}
{"rank":5995,"prime":"1968251257639*2459#+1","digits":1060,"year":2026,"form":null,"comment":"Arithmetic progression (8,d=241047628*2459#)"}
{"rank":5996,"prime":"1968010210011*2459#+1","digits":1060,"year":2026,"form":null,"comment":"Arithmetic progression (7,d=241047628*2459#)"}
{"rank":5997,"prime":"1967769162383*2459#+1","digits":1060,"year":2026,"form":null,"comment":"Arithmetic progression (6,d=241047628*2459#)"}
{"rank":5998,"prime":"1967528114755*2459#+1","digits":1060,"year":2026,"form":null,"comment":"Arithmetic progression (5,d=241047628*2459#)"}
{"rank":5999,"prime":"1967287067127*2459#+1","digits":1060,"year":2026,"form":null,"comment":"Arithmetic progression (4,d=241047628*2459#)"}
{"rank":6000,"prime":"1967046019499*2459#+1","digits":1060,"year":2026,"form":null,"comment":"Arithmetic progression (3,d=241047628*2459#)"}
{"rank":6001,"prime":"1966804971871*2459#+1","digits":1060,"year":2026,"form":null,"comment":"Arithmetic progression (2,d=241047628*2459#)"}
{"rank":6002,"prime":"1966563924243*2459#+1","digits":1060,"year":2026,"form":null,"comment":"Arithmetic progression (1,d=241047628*2459#)"}
{"rank":6003,"prime":"28993093368077*2399#+19433","digits":1037,"year":2016,"form":null,"comment":"Sextuplet (6), ECPP"}
{"rank":6004,"prime":"28993093368077*2399#+19429","digits":1037,"year":2016,"form":null,"comment":"Sextuplet (5), ECPP"}
{"rank":6005,"prime":"28993093368077*2399#+19427","digits":1037,"year":2016,"form":null,"comment":"Sextuplet (4), ECPP"}
{"rank":6006,"prime":"28993093368077*2399#+19423","digits":1037,"year":2016,"form":null,"comment":"Sextuplet (3), ECPP"}
{"rank":6007,"prime":"28993093368077*2399#+19421","digits":1037,"year":2016,"form":null,"comment":"Sextuplet (2), ECPP"}
{"rank":6008,"prime":"28993093368077*2399#+19417","digits":1037,"year":2016,"form":null,"comment":"Sextuplet (1), ECPP"}
{"rank":6009,"prime":"64158976085*2399#+1","digits":1034,"year":2025,"form":null,"comment":"Arithmetic progression (9,d=6383832302*2399#)"}
{"rank":6010,"prime":"57775143783*2399#+1","digits":1034,"year":2025,"form":null,"comment":"Arithmetic progression (8,d=6383832302*2399#)"}
{"rank":6011,"prime":"51391311481*2399#+1","digits":1034,"year":2025,"form":null,"comment":"Arithmetic progression (7,d=6383832302*2399#)"}
{"rank":6012,"prime":"45007479179*2399#+1","digits":1034,"year":2025,"form":null,"comment":"Arithmetic progression (6,d=6383832302*2399#)"}
{"rank":6013,"prime":"38623646877*2399#+1","digits":1034,"year":2025,"form":null,"comment":"Arithmetic progression (5,d=6383832302*2399#)"}
{"rank":6014,"prime":"32239814575*2399#+1","digits":1034,"year":2025,"form":null,"comment":"Arithmetic progression (4,d=6383832302*2399#)"}
{"rank":6015,"prime":"25855982273*2399#+1","digits":1034,"year":2025,"form":null,"comment":"Arithmetic progression (3,d=6383832302*2399#)"}
{"rank":6016,"prime":"19472149971*2399#+1","digits":1034,"year":2025,"form":null,"comment":"Arithmetic progression (2,d=6383832302*2399#)"}
{"rank":6017,"prime":"13088317669*2399#+1","digits":1034,"year":2025,"form":null,"comment":"Arithmetic progression (1,d=6383832302*2399#)"}
{"rank":6018,"prime":"R(1031)","digits":1031,"year":1985,"form":"Repunit","comment":"Repunit"}
{"rank":6019,"prime":"89595955370432*2371#-1","digits":1017,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain (32p+31)"}
{"rank":6020,"prime":"44797977685216*2371#-1","digits":1017,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain (16p+15)"}
{"rank":6021,"prime":"22398988842608*2371#-1","digits":1017,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain (8p+7)"}
{"rank":6022,"prime":"11199494421304*2371#-1","digits":1016,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain (4p+3)"}
{"rank":6023,"prime":"5599747210652*2371#-1","digits":1016,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain (2p+1)"}
{"rank":6024,"prime":"2799873605326*2371#-1","digits":1016,"year":2015,"form":"Cunningham chain","comment":"Cunningham chain (p)"}
{"rank":6025,"prime":"116040452086*2371#+1","digits":1014,"year":2012,"form":null,"comment":"Arithmetic progression (9,d=6317280828*2371#)"}
{"rank":6026,"prime":"109723171258*2371#+1","digits":1014,"year":2012,"form":null,"comment":"Arithmetic progression (8,d=6317280828*2371#)"}
{"rank":6027,"prime":"103405890430*2371#+1","digits":1014,"year":2012,"form":null,"comment":"Arithmetic progression (7,d=6317280828*2371#)"}
{"rank":6028,"prime":"97336164242*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (9,d=6350457699*2371#)"}
{"rank":6029,"prime":"97088609602*2371#+1","digits":1014,"year":2012,"form":null,"comment":"Arithmetic progression (6,d=6317280828*2371#)"}
{"rank":6030,"prime":"93537753980*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (9,d=3388165411*2371#)"}
{"rank":6031,"prime":"92709013183*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (8,d=127155673*2371#)"}
{"rank":6032,"prime":"92581857510*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (7,d=127155673*2371#)"}
{"rank":6033,"prime":"92454701837*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (6,d=127155673*2371#)"}
{"rank":6034,"prime":"92327546164*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (5,d=127155673*2371#)"}
{"rank":6035,"prime":"92200390491*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (4,d=127155673*2371#)"}
{"rank":6036,"prime":"92073234818*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (3,d=127155673*2371#)"}
{"rank":6037,"prime":"91946079145*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (2,d=127155673*2371#)"}
{"rank":6038,"prime":"91818923472*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (1,d=127155673*2371#)"}
{"rank":6039,"prime":"90985706543*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (8,d=6350457699*2371#)"}
{"rank":6040,"prime":"90771328774*2371#+1","digits":1014,"year":2012,"form":null,"comment":"Arithmetic progression (5,d=6317280828*2371#)"}
{"rank":6041,"prime":"86761423158*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (7,d=3388165411*2371#)"}
{"rank":6042,"prime":"84454047946*2371#+1","digits":1014,"year":2012,"form":null,"comment":"Arithmetic progression (4,d=6317280828*2371#)"}
{"rank":6043,"prime":"83373257747*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (6,d=3388165411*2371#)"}
{"rank":6044,"prime":"79985092336*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (5,d=3388165411*2371#)"}
{"rank":6045,"prime":"78136767118*2371#+1","digits":1014,"year":2012,"form":null,"comment":"Arithmetic progression (3,d=6317280828*2371#)"}
{"rank":6046,"prime":"76596926925*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (4,d=3388165411*2371#)"}
{"rank":6047,"prime":"73208761514*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (3,d=3388165411*2371#)"}
{"rank":6048,"prime":"71819486290*2371#+1","digits":1014,"year":2012,"form":null,"comment":"Arithmetic progression (2,d=6317280828*2371#)"}
{"rank":6049,"prime":"69820596103*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (2,d=3388165411*2371#)"}
{"rank":6050,"prime":"66432430692*2371#+1","digits":1014,"year":2013,"form":null,"comment":"Arithmetic progression (1,d=3388165411*2371#)"}
{"rank":6051,"prime":"65502205462*2371#+1","digits":1014,"year":2012,"form":null,"comment":"Arithmetic progression (1,d=6317280828*2371#)"}
{"rank":6052,"prime":"533098369554*2357#+3399421667","digits":1012,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (6,d=30), ECPP"}
{"rank":6053,"prime":"533098369554*2357#+3399421637","digits":1012,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (5,d=30), ECPP"}
{"rank":6054,"prime":"533098369554*2357#+3399421607","digits":1012,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (4,d=30), ECPP"}
{"rank":6055,"prime":"533098369554*2357#+3399421577","digits":1012,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (3,d=30), ECPP"}
{"rank":6056,"prime":"533098369554*2357#+3399421547","digits":1012,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (2,d=30), ECPP"}
{"rank":6057,"prime":"533098369554*2357#+3399421517","digits":1012,"year":2021,"form":null,"comment":"Consecutive primes arithmetic progression (1,d=30), ECPP"}
{"rank":6058,"prime":"113225039190926127209*2339#/57057+21","digits":1002,"year":2021,"form":null,"comment":"Septuplet (7)"}
{"rank":6059,"prime":"113225039190926127209*2339#/57057+19","digits":1002,"year":2021,"form":null,"comment":"Septuplet (6)"}
{"rank":6060,"prime":"113225039190926127209*2339#/57057+13","digits":1002,"year":2021,"form":null,"comment":"Septuplet (5)"}
{"rank":6061,"prime":"113225039190926127209*2339#/57057+9","digits":1002,"year":2021,"form":null,"comment":"Septuplet (4)"}
{"rank":6062,"prime":"113225039190926127209*2339#/57057+7","digits":1002,"year":2021,"form":null,"comment":"Septuplet (3)"}
{"rank":6063,"prime":"1184490310627008*2339#+1","digits":1001,"year":2025,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (32p-31)"}
{"rank":6064,"prime":"592245155313504*2339#+1","digits":1001,"year":2025,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (16p-15)"}
{"rank":6065,"prime":"296122577656752*2339#+1","digits":1001,"year":2025,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (8p-7)"}
{"rank":6066,"prime":"148061288828376*2339#+1","digits":1001,"year":2025,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (4p-3)"}
{"rank":6067,"prime":"74030644414188*2339#+1","digits":1000,"year":2025,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (2p-1)"}
{"rank":6068,"prime":"37015322207094*2339#+1","digits":1000,"year":2025,"form":"Cunningham chain","comment":"Cunningham chain 2nd kind (p)"}