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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
10022543200450878 ~1986
100226691403173679 ~1988
10023407801872578 ~1987
10023683200473678 ~1986
10023817601429038 ~1987
10023911200478238 ~1986
10023911801912898
10024043200480878 ~1986
10024103200482078 ~1986
100241931403387039 ~1988
100244773007343119 ~1989
10025051200501038 ~1986
10025219200504398 ~1986
10025363200507278 ~1986
10025531200510638 ~1986
10025573601534398 ~1987
10025651200513038 ~1986
10025831200516638 ~1986
10026011200520238 ~1986
10026059200521198 ~1986
10026077802086178 ~1987
10026097601565838 ~1987
10026239200524798 ~1986
10026479200529598 ~1986
10026683200533678 ~1986
Exponent Prime Factor Digits Year
10027337601640238 ~1987
10027343200546878 ~1986
10027571200551438 ~1986
10027631200552638 ~1986
100280931403933039 ~1988
10028261601695678 ~1987
10028279200565598 ~1986
100285871604573939 ~1988
10029037601742238 ~1987
10029101601746078 ~1987
10029443200588878 ~1986
10029671200593438 ~1986
10029791200595838 ~1986
10029839200596798 ~1986
10030421601825278 ~1987
10030463200609278 ~1986
10030753601845198 ~1987
10030991200619838 ~1986
10030991802479298
10031137601868238 ~1987
10031579200631598 ~1986
100317431003174319 ~1987
10032013601920798 ~1987
10032073601924398 ~1987
100323911605182579 ~1988
Exponent Prime Factor Digits Year
10032553601953198 ~1987
10032563200651278 ~1986
10032611802608898 ~1987
10032917601975038 ~1987
10032923200658478 ~1986
10032937601976238 ~1987
10033091200661838 ~1986
10033229802658338 ~1987
100333696421356179 ~1989
10033571802685698 ~1987
10033619200672398 ~1986
10033703200674078 ~1986
10034041602042478 ~1987
10034113602046798 ~1987
10034231200684638 ~1986
10034293602057598 ~1987
10034399200687998 ~1986
10034537802762978 ~1987
100345971404843599 ~1988
10034903200698078 ~1986
100349871806297679 ~1988
10035013602100798 ~1987
10035071200701438 ~1986
10035217602113038 ~1987
10035877602152638 ~1987
Exponent Prime Factor Digits Year
10035947802875778 ~1987
10036357602181438 ~1987
10036571200731438 ~1986
10036877602212638 ~1987
10037003200740078 ~1986
10037381602242878 ~1987
10037603200752078 ~1986
100376411606022579 ~1988
10037663200753278 ~1986
10037843200756878 ~1986
10037849803027938 ~1987
100382471606119539 ~1988
10038773602326398 ~1987
10038817602329038 ~1987
100388171606210739
10038851200777038 ~1986
100390933011727919 ~1989
10039193602351598 ~1987
100393871807089679 ~1988
10039541803163298 ~1987
10039559200791198 ~1986
100395592409494179
10039943200798878 ~1986
10040057602403438 ~1987
10040111200802238 ~1986
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25-07-08