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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exponent Prime Factor Digits Year
4295157838590315679 ~1998
429519427687231083310 ~2001
429543713257726227910 ~2000
429543787773178816710 ~2001
4295446318590892639 ~1998
4295500872835030574311 ~2002
4295508118591016239 ~1998
429591517257754910310 ~2000
4296080518592161039 ~1998
4296111118592222239 ~1998
429641999343713599310 ~2000
4296505198593010399 ~1998
429670301257802180710 ~2000
429677561257806536710 ~2000
429681673687490676910 ~2001
4296878998593757999 ~1998
4296916791375013372911 ~2001
429698323687517316910 ~2001
429706561687530497710 ~2001
4297570438595140879 ~1998
4297618798595237599 ~1998
4297726438595452879 ~1998
4297916518595833039 ~1998
429812137257887282310 ~2000
4298168518596337039 ~1998
Exponent Prime Factor Digits Year
4298278198596556399 ~1998
4298320438596640879 ~1998
4298368438596736879 ~1998
429842797257905678310 ~2000
4298456398596912799 ~1998
4298563198597126399 ~1998
4298779798597559599 ~1998
4298786998597573999 ~1998
4298953318597906639 ~1998
429918397257951038310 ~2000
429943399773898118310 ~2001
4299526198599052399 ~1998
4299703198599406399 ~1998
4299739918599479839 ~1998
429981737343985389710 ~2000
4300138918600277839 ~1998
4300244038600488079 ~1998
4300277518600555039 ~1998
4300365598600731199 ~1998
4300386838600773679 ~1998
4300430398600860799 ~1998
4300441438600882879 ~1998
4300464118600928239 ~1998
4300517638601035279 ~1998
4300575838601151679 ~1998
Exponent Prime Factor Digits Year
4300732798601465599 ~1998
4300831918601663839 ~1998
4300843074902961099911 ~2003
430085659430085659110 ~2000
4300915318601830639 ~1998
4301034238602068479 ~1998
4301038198602076399 ~1998
4301100718602201439 ~1998
4301130238602260479 ~1998
4301441038602882079 ~1998
430148311430148311110 ~2000
4301566331290469899111 ~2001
4301698798603397599 ~1998
4301704798603409599 ~1998
430171517602240123910 ~2000
4301766718603533439 ~1998
4301895598603791199 ~1998
4301909218861932972711 ~2003
430194377344155501710 ~2000
430244057258146434310 ~2000
4302440998604881999 ~1998
4302441592065171963311 ~2002
4302477718604955439 ~1998
430264607344211685710 ~2000
4302699199982262120911 ~2003
Exponent Prime Factor Digits Year
4302846238605692479 ~1998
430306769344245415310 ~2000
4303164737487506630311 ~2003
4303395238606790479 ~1998
4303748638607497279 ~1998
430398721688637953710 ~2001
4304099398608198799 ~1998
4304114471032987472911 ~2001
430414079344331263310 ~2000
4304265718608531439 ~1998
4304274238608548479 ~1998
4304276038608552079 ~1998
4304320318608640639 ~1998
43043309341579836783912 ~2005
430450093258270055910 ~2000
4304687398609374799 ~1998
4304695798609391599 ~1998
4304734798609469599 ~1998
430478317258286990310 ~2000
430486073258291643910 ~2000
430495721258297432710 ~2000
4305059638610119279 ~1998
4305141598610283199 ~1998
430516613258309967910 ~2000
430525393258315235910 ~2000
3166
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25-06-08