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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.
Exp. Prime Factor Digits Year
8769973526198398 ~1986
8769983175399678 ~1985
8770063877006318 ~1987
8770121701609698 ~1987
8770219177158423910 ~1990
8770313526218798 ~1986
8770451175409038 ~1985
8770477526228638 ~1986
8770901526254078 ~1986
8771033526261998 ~1986
8771051175421038 ~1985
8771381526282878 ~1986
8771593526295598 ~1986
8771681526300878 ~1986
8771783175435678 ~1985
8771941526316478 ~1986
8772161526329678 ~1986
87722092105330179 ~1988
8772251175445038 ~1985
8772563175451278 ~1985
8772839175456798 ~1985
8773091175461838 ~1985
8773619175472398 ~1985
8773733526423998 ~1986
8773757526425438 ~1986
Exp. Prime Factor Digits Year
8773781526426878 ~1986
87738592105726179 ~1988
8773937701914978 ~1987
87740833685114879 ~1988
8774113526446798 ~1986
8774351175487038 ~1985
8774483175489678 ~1985
8774531701962498 ~1987
8774543175490878 ~1985
8774693526481598 ~1986
8774917526495038 ~1986
8774939175498798 ~1985
87754571404073139 ~1987
8775659175513198 ~1985
87759794212469939 ~1989
8775997526559838 ~1986
8776291877629118 ~1987
87763871579749679 ~1988
8776541526592478 ~1986
87766331404261299 ~1987
8776693526601598 ~1986
8776697526601838 ~1986
8776739175534798 ~1985
8776753526605198 ~1986
8777033526621998 ~1986
Exp. Prime Factor Digits Year
8777243175544878 ~1985
8777519175550398 ~1985
8777819702225538 ~1987
8777837702226978 ~1987
8778023175560478 ~1985
87785574915991939 ~1989
87785694740427279 ~1989
87785932633577919 ~1988
8778899702311938 ~1987
8779481526768878 ~1986
8779621526777278 ~1986
8780113526806798 ~1986
8780171175603438 ~1985
8780459175609198 ~1985
8780543175610878 ~1985
8780677526840638 ~1986
8781013526860798 ~1986
8781181526870878 ~1986
87814491229402879 ~1987
8781491175629838 ~1985
8781497526889838 ~1986
8781659175633198 ~1985
8781683175633678 ~1985
87816832283237599
8781937526916238 ~1986
Exp. Prime Factor Digits Year
8781953526917198 ~1986
87830091229621279 ~1987
8783017526981038 ~1986
8783147702651778 ~1987
8783161526989678 ~1986
8783239878323918 ~1987
8783843175676878 ~1985
8783903175678078 ~1985
8784731175694638 ~1985
8784757527085438 ~1986
8784983175699678 ~1985
8785177527110638 ~1986
8785223175704478 ~1985
8785397702831778 ~1987
87855192108524579 ~1988
8786171175723438 ~1985
8786611878661118 ~1987
87868311581629599 ~1988
8787431175748638 ~1985
8787491175749838 ~1985
8787503175750078 ~1985
87877492109059779 ~1988
87878091230293279 ~1987
87878111581805999 ~1988
8787893527273598 ~1986
953
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25-07-08