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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
167579933515997 ~1980
1675847134067778 ~1981
1675943837971518 ~1983
1676041368729038 ~1982
1676413100584798 ~1981
1676621100597278 ~1981
167665133533037 ~1980
1676687134134978 ~1981
1676813100608798 ~1981
1676813234753838
1676947268311538 ~1982
167696333539277 ~1980
1676971268315378 ~1982
16769811341584819 ~1984
1677019167701918 ~1981
1677089637293838 ~1983
167725133545037 ~1980
1677251301905198
1677287805097778 ~1983
167732333546477 ~1980
1677523402605538 ~1982
1677539301957038 ~1982
1677721369098638 ~1982
167774333554877 ~1980
1677787268445938 ~1982
Exp. Prime Factor Digits Year
1677787302001678
1677791134223298 ~1981
1677791838895518
1678021100681278 ~1981
16780211879383539
167815133563037 ~1980
1678207167820718 ~1981
1678267671306818 ~1983
1678301134264098 ~1981
1678409637795438 ~1983
1678639167863918 ~1981
1678679302162238 ~1982
167873933574797 ~1980
1678837805841778 ~1983
1678877100732638 ~1981
1678877134310178
1678889134311138 ~1981
1679113369404878 ~1982
1679203167920318 ~1981
1679203268672498
1679261134340898 ~1981
1679281100756878 ~1981
1679333100759998 ~1981
167935133587037 ~1980
1679351839675518
Exp. Prime Factor Digits Year
1679501134360098 ~1981
1679653100779198 ~1981
1679659571084078 ~1983
1679801806304498 ~1983
1679863167986318 ~1981
167996333599277 ~1980
1680013268802098 ~1982
1680013504003918
1680071134405698 ~1981
1680271168027118 ~1981
1680313369668878 ~1982
168035933607197 ~1980
1680421672168418 ~1983
168049133609837 ~1980
1680491705806238
1680589504176718 ~1982
16807433361486019 ~1984
1680761100845678 ~1981
168080333616077 ~1980
168083933616797 ~1980
1680871302556798 ~1982
1680979168097918 ~1981
168110333622077 ~1980
1681193235367038 ~1982
1681219302619438 ~1982
Exp. Prime Factor Digits Year
168125933625197 ~1980
1681321807034098 ~1983
1681517100891038 ~1981
1681573100894398 ~1981
1681619538118098 ~1983
1681661100899678 ~1981
1681661538131538
1681717807224178 ~1983
1681817504545118 ~1982
1681837100910238 ~1981
1681853504555918 ~1982
1681957100917438 ~1981
168211133642237 ~1980
1682237100934238 ~1981
168236333647277 ~1980
1682383168238318 ~1981
168239933647997 ~1980
1682407269185138 ~1982
1682413504723918 ~1982
16824779522819839 ~1986
16825571312394479 ~1983
1682671269227378 ~1982
1682809370217998 ~1982
1683239134659138 ~1981
168349133669837 ~1980
341
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25-04-13