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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
10272013616320798 ~1987
10272371205447438 ~1986
10272707821816578 ~1987
10272803205456078 ~1986
102729071849123279 ~1988
102729172465500099 ~1988
10273273616396398 ~1987
10273297616397838 ~1987
10273541616412478 ~1987
10273693616421598 ~1987
10273751205475038 ~1986
10273799205475998 ~1986
10273883205477678 ~1986
10274039205480798 ~1986
10274219205484398 ~1986
102743871849389679 ~1988
10274711205494238 ~1986
10275073616504398 ~1987
10275431205508638 ~1986
10275623205512478 ~1986
10276379205527598 ~1986
10276571822125698 ~1987
102765892466381379 ~1988
10276631205532638 ~1986
102767111027671119 ~1987
Exponent Prime Factor Digits Year
10276751205535038 ~1986
10276907822152578 ~1987
10277417616645038 ~1987
10277417822193378
10277483205549678 ~1986
10277549822203938 ~1987
10277693616661598 ~1987
102776935755508099
10277857271335424910 ~1991
10278011205560238 ~1986
10278097616685838 ~1987
102781332466751939 ~1988
10278431205568638 ~1986
10278959205579198 ~1986
10279103205582078 ~1986
102791213083736319 ~1989
10279153616749198 ~1987
102794573083837119 ~1989
102795671850322079 ~1988
10279943205598878 ~1986
10280243205604878 ~1986
10280321822425698 ~1987
10280423205608478 ~1986
10280723205614478 ~1986
10280951205619038 ~1986
Exponent Prime Factor Digits Year
10281431205628638 ~1986
10281503205630078 ~1986
102815711645051379 ~1988
10281653616899198 ~1987
10281779205635598 ~1986
102820391028203919 ~1987
102821711850790799 ~1988
10282199205643998 ~1986
10282319205646398 ~1986
10282577616954638 ~1987
102826731439574239 ~1988
10282763205655278 ~1986
10282931205658638 ~1986
102831114935893299 ~1989
10283137616988238 ~1987
10283183205663678 ~1986
10283363205667278 ~1986
10283519205670398 ~1986
10283687822694978 ~1987
102837172468092099 ~1988
10283879205677598 ~1986
10284143205682878 ~1986
10284397617063838 ~1987
10284413617064798 ~1987
10284479205689598 ~1986
Exponent Prime Factor Digits Year
102845111028451119 ~1987
10284517617071038 ~1987
102847072468329699 ~1988
10285091205701838 ~1986
10285109822808738 ~1987
10285139205702798 ~1986
102853337199733119 ~1990
10285559205711198 ~1986
10285571205711438 ~1986
10285571822845698
10285679205713598 ~1986
10285871205717438 ~1986
10286099205721998 ~1986
10286183205723678 ~1986
10286519205730398 ~1986
10286579205731598 ~1986
10286891205737838 ~1986
10287047822963778 ~1987
10287217617233038 ~1987
102872591028725919 ~1987
10287731205754638 ~1986
10288277617296638 ~1987
10288403205768078 ~1986
10288427823074178 ~1987
102886693086600719 ~1989
1040
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25-07-08