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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
290614012324912099 ~1991
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
290652432906524319 ~1991
29065919581318398 ~1989
29066221837107164910 ~1995
29066231581324638 ~1989
29066711581334238 ~1989
290672571744035439 ~1990
Exponent Prime Factor Digits Year
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
29075171581503438 ~1989
29075177139560849710 ~1993
29075531581510638 ~1989
290758034652128499 ~1991
Exponent Prime Factor Digits Year
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
290831331744987999 ~1990
290833611745001679 ~1990
290835011745010079 ~1990
29083559581671198 ~1989
Exponent Prime Factor Digits Year
290838371745030239 ~1990
290842672326741379 ~1991
290847171745083039 ~1990
29084843581696878 ~1989
29085383581707678 ~1989
29085911581718238 ~1989
29086331581726638 ~1989
290864931745189599 ~1990
29086763581735278 ~1989
29086859581737198 ~1989
29087039581740798 ~1989
29087171581743438 ~1989
290871731745230399 ~1990
29089609116358436110 ~1992
29089943442167133710 ~1994
29090471581809438 ~1989
29090783581815678 ~1989
29091599581831998 ~1989
290925892327407139 ~1991
29092643581852878 ~1989
29092883581857678 ~1989
290933331745599999 ~1990
290936836982483939 ~1992
29094179581883598 ~1989
290943912909439119 ~1991
1761
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25-11-17