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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
1775563745736478 ~1983
1775647177564718 ~1981
1775647603719998
1775663461672398 ~1982
177583135516637 ~1980
177584335516877 ~1980
1775843426202338
1775881106552878 ~1981
1775909142072738 ~1981
177601135520237 ~1980
177602335520477 ~1980
177625135525037 ~1980
1776311142104898 ~1981
1776323568423378 ~1983
177641935528397 ~1980
1776457106587438 ~1981
1776539142123138 ~1981
1776581568505938 ~1983
177677935535597 ~1980
17767873162680879 ~1985
1776793284286898 ~1982
1776833248756638 ~1982
1776881675214798 ~1983
1776953426468738 ~1982
1777057284329138 ~1982
Exp. Prime Factor Digits Year
1777093106625598 ~1981
1777109248795278 ~1982
1777169142173538 ~1981
1777213284354098 ~1982
1777219426532578 ~1982
1777351319923198 ~1982
1777459177745918 ~1981
1777459426590178
177779935555997 ~1980
177782335556477 ~1980
177787135557437 ~1980
1777891177789118 ~1981
1777973533391918 ~1983
1778009142240738 ~1981
17780591458008399 ~1984
177809935561997 ~1980
1778177106690638 ~1981
1778239320083038 ~1982
177830335566077 ~1980
1778303746887278
1778341106700478 ~1981
177866335573277 ~1980
1778677106720638 ~1981
1778677426882498
1778813249033838 ~1982
Exp. Prime Factor Digits Year
17788511600965919 ~1984
1778869391351198 ~1982
1779097106745838 ~1981
17790971387695679
1779137106748238 ~1981
1779149249080878 ~1982
17791631174247599 ~1983
1779191142335298 ~1981
1779227462599038 ~1983
1779311889655518 ~1983
1779341996430978 ~1983
1779403747349278 ~1983
1779497106769838 ~1981
1779571177957118 ~1981
1779601106776078 ~1981
17796072740594799 ~1984
177962335592477 ~1980
1779677427122498 ~1982
177977935595597 ~1980
1779941569581138 ~1983
177998335599677 ~1980
1780027178002718 ~1981
1780253249235438 ~1982
1780321284851378 ~1982
178037935607597 ~1980
Exp. Prime Factor Digits Year
1780379569721298
1780381284860978 ~1982
1780411320473998 ~1982
1780447178044718 ~1981
178046335609277 ~1980
1780517106831038 ~1981
1780577142446178 ~1981
1780663178066318 ~1981
178070335614077 ~1980
1780901106854078 ~1981
1780967320574078 ~1982
1781027142482178 ~1981
1781047284967538 ~1982
178109935621997 ~1980
1781239427497378 ~1982
1781287427508898 ~1982
1781309249383278 ~1982
178151935630397 ~1980
1781609142528738 ~1981
1781831320729598 ~1982
1781851178185118 ~1981
1781893285102898 ~1982
1782113427707138 ~1982
178223935644797 ~1980
178256335651277 ~1980
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25-04-13