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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
25195991503919838 ~1989
25196291503925838 ~1989
25196543503930878 ~1989
25196651503933038 ~1989
25197131503942638 ~1989
25197251503945038 ~1989
25197299503945998 ~1989
251976773527674799 ~1991
251977131511862799 ~1990
25197803503956078 ~1989
25197899503957998 ~1989
25198571503971438 ~1989
25198583503971678 ~1989
25198763503975278 ~1989
25198919503978398 ~1989
251994114535893999 ~1991
25200359504007198 ~1989
252004914536088399 ~1991
252006072520060719 ~1990
252023571512141439 ~1990
252023771512142639 ~1990
25202543504050878 ~1989
252026512016212099 ~1990
25203127569590670310 ~1994
25203803504076078 ~1989
Exponent Prime Factor Digits Year
252040992520409919 ~1990
252050931512305599 ~1990
252051072520510719 ~1990
252051611512309679 ~1990
25205651504113038 ~1989
25206011504120238 ~1989
25206059504121198 ~1989
25206143504122878 ~1989
25206281398259239910 ~1993
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
Exponent Prime Factor Digits Year
252140512017124099 ~1990
25214219504284398 ~1989
25214363504287278 ~1989
25214699504293998 ~1989
25214879504297598 ~1989
25214951504299038 ~1989
25214999504299998 ~1989
25215119504302398 ~1989
252152212017217699 ~1990
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
Exponent Prime Factor Digits Year
252217733531048239 ~1991
252220314539965599 ~1991
252220611513323679 ~1990
25222079504441598 ~1989
25222583504451678 ~1989
25223339504466798 ~1989
252236474035783539 ~1991
25223771504475438 ~1989
25224539504490798 ~1989
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
1597
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25-06-08