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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
16543375260791679 ~1985
16543511191132739 ~1983
165435799261437 ~1981
1654397231615598 ~1982
1654561761098078 ~1983
1654739297853038 ~1982
1654789661915618 ~1983
1654799794303538 ~1983
165503933100797 ~1980
1655051430313278 ~1982
16551671456546979 ~1984
1655263695210478 ~1983
1655281364161838 ~1982
1655323695235678 ~1983
1655419165541918 ~1981
1655821496746318 ~1982
165589799353837 ~1981
1655897132471778
165596333119277 ~1980
165599933119997 ~1980
165607399364397 ~1981
1656119695569998 ~1983
165612199367277 ~1981
1656247264999538 ~1982
165625133125037 ~1980
Exp. Prime Factor Digits Year
1656251132500098
165631133126237 ~1980
1656367265018738 ~1982
165638333127677 ~1980
1656427795084978 ~1983
165651799391037 ~1981
1656541265046578 ~1982
1656607165660718 ~1981
165665933133197 ~1980
1656673265067698 ~1982
165671933134397 ~1980
1656791298222398 ~1982
165691133138237 ~1980
1656979563372878 ~1983
165700199420077 ~1981
1657099662839618 ~1983
16571696496102499 ~1985
1657189795450738 ~1983
165727799436637 ~1981
1657609364673998 ~1982
1657627165762718 ~1981
165766199459677 ~1981
165767399460397 ~1981
1657673530455378
1657987795833778 ~1983
Exp. Prime Factor Digits Year
1658023696369678 ~1983
165805399483197 ~1981
165824333164877 ~1980
1658387132670978 ~1981
165841133168237 ~1980
1658413364850878 ~1982
1658417132673378 ~1981
165848333169677 ~1980
16585091194126499 ~1983
16586271326901619 ~1984
165871133174237 ~1980
1658759132700738 ~1981
1658759530802898
1658807928931938 ~1983
165883799530237 ~1981
1658963696764478 ~1983
1658999796319538 ~1983
165908333181677 ~1980
1659103663641218 ~1983
1659131132730498 ~1981
1659211696868638 ~1983
165923933184797 ~1980
165929933185997 ~1980
1659407132752578 ~1981
165949133189837 ~1980
Exp. Prime Factor Digits Year
1659527298714878 ~1982
165955133191037 ~1980
1659643663857218 ~1983
165971933194397 ~1980
1659737497921118 ~1982
1659797398351298 ~1982
16598091327847219 ~1984
16598111593418579 ~1984
165985133197037 ~1980
1660063398415138 ~1982
166025933205197 ~1980
166028333205677 ~1980
1660297664118818 ~1983
166043399625997 ~1981
1660517132841378 ~1981
166055933211197 ~1980
1660723697503678 ~1983
166075133215037 ~1980
166083799650237 ~1981
166094333218877 ~1980
166095799657437 ~1981
1661111132888898 ~1981
1661111155812211910
166113799668237 ~1981
166129399677597 ~1981
350
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26-05-03