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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
5722201343332078 ~1985
5722271457781698 ~1985
5722279572227918 ~1986
5722313343338798 ~1985
57223331373359939 ~1986
5722499114449998 ~1984
5722513343350798 ~1985
5722621343357278 ~1985
5722637343358238 ~1985
5722991114459838 ~1984
5723147457851778 ~1985
57235932632852799 ~1987
5723639114472798 ~1984
57237191373692579 ~1986
57240131717203919 ~1987
5724137343448238 ~1985
5724137801379198
5724143114482878 ~1984
5724157343449438 ~1985
5724197457935778 ~1985
5724581457966498 ~1985
5724683114493678 ~1984
5724787572478718 ~1986
5724811572481118 ~1986
5725001458000098 ~1985
Exp. Prime Factor Digits Year
5725081343504878 ~1985
5725241458019298 ~1985
5725259114505198 ~1984
5725283114505678 ~1984
5725331458026498 ~1985
5725457458036578 ~1985
5725457801563998
5725547458043778 ~1985
5725679458054338 ~1985
5725739458059138 ~1985
5725883114517678 ~1984
5725927572592718 ~1986
5725943114518878 ~1984
5725981343558878 ~1985
57260231946847839 ~1987
5726111114522238 ~1984
5726153801661438 ~1986
5726153209577199910
57261911030714399 ~1986
57264471030760479 ~1986
5726711114534238 ~1984
5726761343605678 ~1985
5726827572682718 ~1986
5726843120263703110 ~1989
5727017458161378 ~1985
Exp. Prime Factor Digits Year
5727089801792478 ~1986
5727221458177698 ~1985
5727427572742718 ~1986
5727697343661838 ~1985
5727719114554398 ~1984
5727919572791918 ~1986
5728199114563998 ~1984
5728279572827918 ~1986
5728301343698078 ~1985
5728579572857918 ~1986
5728733343723998 ~1985
5728781343726878 ~1985
5729039114580798 ~1984
5729099114581998 ~1984
57293596531469279 ~1988
5729453802123438 ~1986
5729579458366338 ~1985
5729597343775838 ~1985
5729827572982718 ~1986
5729839572983918 ~1986
5730007573000718 ~1986
5730251114605038 ~1984
5730311114606238 ~1984
57304071031473279 ~1986
57305391375329379 ~1986
Exp. Prime Factor Digits Year
5730743114614878 ~1984
5730773343846398 ~1985
5730899114617998 ~1984
5730961916953778 ~1986
5731619114632398 ~1984
5731679114633598 ~1984
5731811458544898 ~1985
5731949802472878 ~1986
5732131573213118 ~1986
5732273802518238 ~1986
5732341127257970310 ~1989
5732591114651838 ~1984
5732599573259918 ~1986
5732711114654238 ~1984
5732711458616898
57328092751748339 ~1987
57329215503604179 ~1988
5732999114659998 ~1984
57332411261313039 ~1986
5733551114671038 ~1984
5733613917378098 ~1986
5733661344019678 ~1985
5733691573369118 ~1986
5733719458697538 ~1985
57339193669708179 ~1987
776
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26-07-05