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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
252076217562286319 ~1992
25207751504155038 ~1989
25208819504176398 ~1989
25209071504181438 ~1989
25209539504190798 ~1989
25210151504203038 ~1989
25210799504215998 ~1989
25211099504221998 ~1989
252112811512676879 ~1990
25211723504234478 ~1989
25211891504237838 ~1989
25212251504245038 ~1989
252122832521228319 ~1990
25213211504264238 ~1989
25213739504274798 ~1989
25213763504275278 ~1989
252140512017124099 ~1990
25214219504284398 ~1989
25214363504287278 ~1989
25214699504293998 ~1989
25214879504297598 ~1989
25214951504299038 ~1989
25214999504299998 ~1989
25215119504302398 ~1989
252152212017217699 ~1990
Exponent Prime Factor Digits Year
25215331166421184710 ~1993
25215719504314398 ~1989
25216043504320878 ~1989
25216871504337438 ~1989
25216931504338638 ~1989
25218299504365998 ~1989
252185774034972339 ~1991
25219451504389038 ~1989
25219751504395038 ~1989
25219979504399598 ~1989
25220099504401998 ~1989
25220963504419278 ~1989
252211992522119919 ~1990
25221419504428398 ~1989
252215411513292479 ~1990
252216718070934739 ~1992
252217733531048239 ~1991
252220314539965599 ~1991
252220611513323679 ~1990
25222079504441598 ~1989
25222583504451678 ~1989
25223339504466798 ~1989
252236474035783539 ~1991
25223771504475438 ~1989
25224539504490798 ~1989
Exponent Prime Factor Digits Year
25224911504498238 ~1989
25224971504499438 ~1989
25225019504500398 ~1989
25225463504509278 ~1989
25225523504510478 ~1989
25225643504512878 ~1989
25225691504513838 ~1989
25225703504514078 ~1989
25225919504518398 ~1989
25226483504529678 ~1989
25227731504554638 ~1989
25228403504568078 ~1989
25229111504582238 ~1989
25229279504585598 ~1989
25229471504589438 ~1989
252298811513792879 ~1990
252301971513811839 ~1990
25230239504604798 ~1989
252302531513815199 ~1990
25230323504606478 ~1989
25231091504621838 ~1989
252311811513870879 ~1990
25231331504626638 ~1989
25231403504628078 ~1989
25231499504629998 ~1989
Exponent Prime Factor Digits Year
252316031251487508911 ~1995
25231631504632638 ~1989
252316811513900879 ~1990
25232939504658798 ~1989
252330531513983199 ~1990
252332693532657679 ~1991
25233419504668398 ~1989
25233479504669598 ~1989
25234141242247753710 ~1993
25234343504686878 ~1989
25234523504690478 ~1989
252348773532882799 ~1991
25234931504698638 ~1989
252351011514106079 ~1990
25235183504703678 ~1989
25235219504704398 ~1989
252352192018817539
252356592523565919 ~1990
25235783504715678 ~1989
252357836561303599
252359897570796719 ~1992
25236059504721198 ~1989
25236671504733438 ~1989
25236779504735598 ~1989
25236839504736798 ~1989
1587
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25-05-04