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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
26025203520504078 ~1989
260255112602551119 ~1991
260256531561539199 ~1990
26025683520513678 ~1989
260260097807802719 ~1992
26026211520524238 ~1989
26026859520537198 ~1989
26027003520540078 ~1989
26027411520548238 ~1989
26027723520554478 ~1989
26027999520559998 ~1989
260285571561713439 ~1990
26028599520571998 ~1989
26028839520576798 ~1989
26029043520580878 ~1989
26029079520581598 ~1989
26029163520583278 ~1989
260294771561768639 ~1990
260294774164716339
26030183520603678 ~1989
26030843520616878 ~1989
26031563520631278 ~1989
260316172082529379 ~1990
260318272082546179 ~1990
26031959520639198 ~1989
Exponent Prime Factor Digits Year
26032199520643998 ~1989
26032211520644238 ~1989
26032739520654798 ~1989
26032871520657438 ~1989
26033099520661998 ~1989
260331772082654179 ~1990
26033303520666078 ~1989
26035043520700878 ~1989
26035283520705678 ~1989
260356371562138239 ~1990
26035739520714798 ~1989
260362931562177599 ~1990
26036663520733278 ~1989
26036831520736638 ~1989
26037503520750078 ~1989
26039003520780078 ~1989
26039099520781998 ~1989
260392011562352079 ~1990
260392612083140899 ~1990
26039543520790878 ~1989
26039831520796638 ~1989
260405176249724099 ~1992
26040743520814878 ~1989
26041139520822798 ~1989
26041859520837198 ~1989
Exponent Prime Factor Digits Year
26041871520837438 ~1989
26043863520877278 ~1989
26044019520880398 ~1989
260442292083538339 ~1990
26044643520892878 ~1989
26045531520910638 ~1989
260459693646435679 ~1991
26046323520926478 ~1989
260466971562801839 ~1990
26046791520935838 ~1989
260478735730532079 ~1991
260489099898585439 ~1992
26049071520981438 ~1989
26049251520985038 ~1989
26049371520987438 ~1989
260502533647035439 ~1991
260504812084038499 ~1990
26050499521009998 ~1989
26051159521023198 ~1989
26052683521053678 ~1989
26052863521057278 ~1989
26053211521064238 ~1989
26053523521070478 ~1989
26053739521074798 ~1989
26053799521075998 ~1989
Exponent Prime Factor Digits Year
26053823521076478 ~1989
26053931521078638 ~1989
260546714689840799 ~1991
26054711521094238 ~1989
26055299521105998 ~1989
26055983521119678 ~1989
26056763521135278 ~1989
26056883521137678 ~1989
26057543521150878 ~1989
26057831521156638 ~1989
26058143521162878 ~1989
26058251521165038 ~1989
260584632605846319 ~1991
26058743521174878 ~1989
26060663521213278 ~1989
26060819521216398 ~1989
26061779521235598 ~1989
26062031521240638 ~1989
26062451521249038 ~1989
260627272085018179 ~1990
26063399521267998 ~1989
26063879521277598 ~1989
26064803521296078 ~1989
26065103521302078 ~1989
260653633482332496911 ~1996
1622
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25-06-08