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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
34405043688100878 ~1990
34405991144505162310 ~1993
344066934816937039 ~1992
34406783688135678 ~1990
344074192752593539 ~1991
34407469412889628110 ~1994
34407683688153678 ~1990
344079592752636739 ~1991
34408271688165438 ~1990
344088172064529039 ~1991
34408919688178398 ~1990
344090992752727939 ~1991
344093835505501299 ~1992
34409723688194478 ~1990
34409939688198798 ~1990
34410479688209598 ~1990
34411511688230238 ~1990
34412291688245838 ~1990
34412699688253998 ~1990
34413383688267678 ~1990
344136238259269539 ~1992
34414223688284478 ~1990
34414223110125513710
34415483688309678 ~1990
34415519688310398 ~1990
Exponent Prime Factor Digits Year
344171332065027999 ~1991
34417343688346878 ~1990
344179374818511199 ~1992
34418831688376638 ~1990
34419179688383598 ~1990
34420703688414078 ~1990
34421111688422238 ~1990
34422131688442638 ~1990
34423379688467598 ~1990
34423463688469278 ~1990
34425719688514398 ~1990
34426163688523278 ~1990
34427231688544638 ~1990
34427663688553278 ~1990
34428083688561678 ~1990
34428923688578478 ~1990
34429163688583278 ~1990
34429259688585198 ~1990
34429379688587598 ~1990
34430171688603438 ~1990
34430339688606798 ~1990
34430411688608238 ~1990
34431899688637998 ~1990
34432319688646398 ~1990
34434373103303119110 ~1993
Exponent Prime Factor Digits Year
344349137575680879 ~1992
34435031688700638 ~1990
34435433110193385710 ~1993
34436063688721278 ~1990
34436219688724398 ~1990
344369992754959939 ~1991
344370433443704319 ~1992
34437983688759678 ~1990
34438091688761838 ~1990
34438247254843027910 ~1994
344390996199037839 ~1992
344397012066382079 ~1991
34440299688805998 ~1990
34440803688816078 ~1990
344416212066497279 ~1991
34442351688847038 ~1990
344443372066660239 ~1991
344448772066692639 ~1991
34445891688917838 ~1990
34446299688925998 ~1990
34449011688980238 ~1990
34452479689049598 ~1990
34452559413430708110 ~1994
34453151689063038 ~1990
34453871689077438 ~1990
Exponent Prime Factor Digits Year
34455383689107678 ~1990
34456151689123038 ~1990
34456343689126878 ~1990
34456811689136238 ~1990
34457639689152798 ~1990
344578796202418239 ~1992
344582537911614888911 ~1997
34459811689196238 ~1990
344601598270438179 ~1992
344605372067632239 ~1991
344625372067752239 ~1991
34462559689251198 ~1990
344637532067825199 ~1991
34468139689362798 ~1990
34468799689375998 ~1990
34469243689384878 ~1990
34469639689392798 ~1990
34470539689410798 ~1990
34471091689421838 ~1990
34471511689430238 ~1990
344732212068393279 ~1991
34473371689467438 ~1990
34474403689488078 ~1990
344748372068490239 ~1991
34475531689510638 ~1990
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