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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
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
290838371745030239 ~1990
290842672326741379 ~1991
Exponent Prime Factor Digits Year
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
29094479581889598 ~1989
29095259581905198 ~1989
Exponent Prime Factor Digits Year
29095883581917678 ~1989
29095919581918398 ~1989
29096363581927278 ~1989
290963771745782639 ~1990
290964432909644319 ~1991
29096663581933278 ~1989
29097011581940238 ~1989
29097611581952238 ~1989
290976611745859679 ~1990
29097791581955838 ~1989
29098259581965198 ~1989
29098523581970478 ~1989
290986971745921839 ~1990
29098763581975278 ~1989
29099303581986078 ~1989
29099363581987278 ~1989
290995792327966339 ~1991
291003531746021199 ~1990
29100839582016798 ~1989
29101643582032878 ~1989
291022011746132079 ~1990
29103491582069838 ~1989
291039611746237679 ~1990
29104079582081598 ~1989
291048371746290239 ~1990
Exponent Prime Factor Digits Year
29104837139703217710
29104987605383729710 ~1994
291050531746303199 ~1990
29105339582106798 ~1989
29105399582107998 ~1989
29105423582108478 ~1989
29105519582110398 ~1989
29106443582128878 ~1989
29106503582130078 ~1989
29106683582133678 ~1989
29107223582144478 ~1989
29107751582155038 ~1989
291080212328641699 ~1991
29108279582165598 ~1989
291086094075205279 ~1991
291086171746517039 ~1990
29108909110613854310 ~1992
291092512328740099 ~1991
29109851582197038 ~1989
291103811746622879 ~1990
29110391582207838 ~1989
29110583582211678 ~1989
29110979582219598 ~1989
29111339582226798 ~1989
29111723582234478 ~1989
1753
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25-10-20