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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
290510896972261379 ~1992
29051303581026078 ~1989
29051831581036638 ~1989
29051843581036878 ~1989
290526192905261919 ~1991
29052671581053438 ~1989
29053259581065198 ~1989
29053319581066398 ~1989
29053499581069998 ~1989
29053523581070478 ~1989
29054243581084878 ~1989
29054339581086798 ~1989
29054783581095678 ~1989
29055311581106238 ~1989
29055443581108878 ~1989
29055479581109598 ~1989
290555272324442179 ~1991
29055899581117998 ~1989
29056151581123038 ~1989
290566331743397999 ~1990
29056991581139838 ~1989
290574611743447679 ~1990
29057519581150398 ~1989
29058059581161198 ~1989
29058479581169598 ~1989
Exponent Prime Factor Digits Year
290586971743521839 ~1990
29058863581177278 ~1989
290591092324728739 ~1991
29059403581188078 ~1989
29060039581200798 ~1989
29060963581219278 ~1989
29061479581229598 ~1989
29061503581230078 ~1989
29061731581234638 ~1989
29062151581243038 ~1989
29062273348747276110 ~1994
290623931743743599 ~1990
29062499581249998 ~1989
290626012325008099 ~1991
29062991581259838 ~1989
290632972325063779 ~1991
29063519581270398 ~1989
29064023581280478 ~1989
29064083581281678 ~1989
290644818719344319 ~1992
29064599581291998 ~1989
29064911581298238 ~1989
290650512906505119 ~1991
29065139581302798 ~1989
29065919581318398 ~1989
Exponent Prime Factor Digits Year
29066221837107164910 ~1995
29066231581324638 ~1989
29066711581334238 ~1989
290672571744035439 ~1990
29067383581347678 ~1989
29067443581348878 ~1989
29067683581353678 ~1989
29067851581357038 ~1989
29067911581358238 ~1989
29067959581359198 ~1989
29068211581364238 ~1989
290684411744106479 ~1990
29068463581369278 ~1989
29068943581378878 ~1989
29069291581385838 ~1989
29070011581400238 ~1989
29070131581402638 ~1989
290711571744269439 ~1990
29071859581437198 ~1989
29071943581438878 ~1989
29073503581470078 ~1989
29073563581471278 ~1989
290739371744436239 ~1990
29074499581489998 ~1989
290749195233485439 ~1992
Exponent Prime Factor Digits Year
29075171581503438 ~1989
29075177139560849710 ~1993
29075531581510638 ~1989
290758034652128499 ~1991
290760531744563199 ~1990
290762171744573039 ~1990
29076959581539198 ~1989
29077703581554078 ~1989
29077859581557198 ~1989
29077883581557678 ~1989
29077931581558638 ~1989
29078243581564878 ~1989
290783336978799939 ~1992
29078663581573278 ~1989
290788072326304579 ~1991
2907897110986035243912 ~1997
290796072907960719 ~1991
290798931744793599 ~1990
29080283581605678 ~1989
29080391581607838 ~1989
29080979581619598 ~1989
29081099581621998 ~1989
29081183581623678 ~1989
290817771744906639 ~1990
29082323581646478 ~1989
1701
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25-05-04