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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
2112713676068178 ~1983
2112827169026178 ~1982
2112827507078498
2112841464825038 ~1983
2112953126777198 ~1982
2113037126782238 ~1982
211321142264237 ~1980
211345142269037 ~1980
2113471380424798 ~1983
211351142270237 ~1980
2113513126810798 ~1982
2113733676394578 ~1983
2113819380487438 ~1983
2113879211387918 ~1982
2113949169115938 ~1982
211403942280797 ~1980
2114087380535678 ~1983
2114221465128638 ~1983
211424342284877 ~1980
21143513594396719 ~1985
211436342287277 ~1980
2114507169160578 ~1982
2114533634359918 ~1983
211477142295437 ~1980
21148311691864819 ~1984
Exp. Prime Factor Digits Year
2114857972834238 ~1984
2114887105321372710 ~1986
211505942301197 ~1980
2115077126904638 ~1982
2115229465350398 ~1983
2115493126929598 ~1982
2115499846199618 ~1984
2115671169253698 ~1982
2115677126940638 ~1982
2115703338512498 ~1983
2115721126943278 ~1982
2115761169260898 ~1982
21158471227191279 ~1984
2115943211594318 ~1982
2115943338550898
2115979211597918 ~1982
211598342319677 ~1980
2116027380884878 ~1983
2116039380887038 ~1983
2116099380897838 ~1983
2116123338579698 ~1983
2116307169304578 ~1982
2116393126983598 ~1982
2116393846557218
2116481126988878 ~1982
Exp. Prime Factor Digits Year
2116523507965538 ~1983
2116601126996078 ~1982
2116717338674738 ~1983
2116757296345998 ~1982
2116813635043918 ~1983
2116817127009038 ~1982
2116901169352098 ~1982
21170391058519519 ~1984
211705142341037 ~1980
2117051381069198
2117099169367938 ~1982
2117119381081438 ~1983
2117273296418238 ~1982
211741142348237 ~1980
2117419719922478 ~1983
2117501169400098 ~1982
2117597296463598 ~1982
211766342353277 ~1980
2117671211767118 ~1982
2117743720032638 ~1983
2118113296535838 ~1982
2118119169449538 ~1982
21181631906346719 ~1984
21182091525110499 ~1984
2118283508387938 ~1983
Exp. Prime Factor Digits Year
2118299381293838 ~1983
2118349466036798 ~1983
211835942367197 ~1980
2118359169468738
21183972033661139 ~1985
2118433338949298 ~1983
211849142369837 ~1980
2118689296616478 ~1982
2118917508540098 ~1983
2118959169516738 ~1982
2119147720509998 ~1983
2119157127149438 ~1982
21192312246384879 ~1985
211925942385197 ~1980
2119267211926718 ~1982
2119379508650978 ~1983
2119597127175838 ~1982
21196271865271779 ~1984
2119651381537198 ~1983
2119681635904318 ~1983
2119717508732098 ~1983
211973942394797 ~1980
21197512713281299 ~1985
2119913296787838 ~1982
2119939381589038 ~1983
411
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26-05-03