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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
231848346369677 ~1981
2318489324588478 ~1983
2318567417342078 ~1983
231881946376397 ~1981
231884346376877 ~1981
23188632457994799 ~1985
231889146377837 ~1981
231895146379037 ~1981
231905946381197 ~1981
2319077139144638 ~1982
2319151371064178 ~1983
2319151417447198
2319181371068978 ~1983
231937146387437 ~1981
2319461139167678 ~1982
2319841139190478 ~1982
232009146401837 ~1981
2320427185634178 ~1982
23204717611144899 ~1986
23205471113862579 ~1984
2320553139233198 ~1982
232094346418877 ~1981
2320987371357938 ~1983
2321003557040738 ~1983
2321017139261038 ~1982
Exp. Prime Factor Digits Year
2321101928440418 ~1984
23212132367637279 ~1985
2321309557114178 ~1983
2321317365839559310 ~1988
232133946426797 ~1981
2321357139281438 ~1982
232151946430397 ~1981
232153146430637 ~1981
2321821696546318 ~1984
2321881139312878 ~1982
2322107557305698 ~1983
2322109696632718 ~1984
2322113139326798 ~1982
2322137557312898 ~1983
23223772972642579 ~1985
2322457371593138 ~1983
23224912786989219 ~1985
2322493139349598 ~1982
2322569185805538 ~1982
23226731068429599 ~1984
232277946455597 ~1981
232279146455837 ~1981
23229612741093999 ~1985
23230011115040499 ~1984
2323037185842978 ~1982
Exp. Prime Factor Digits Year
2323213139392798 ~1982
232325946465197 ~1981
2323337185866978 ~1982
2323423557621538 ~1983
232346346469277 ~1981
232363146472637 ~1981
2323733139423998 ~1982
2324017139441038 ~1982
2324171185933698 ~1982
2324419418395438 ~1983
2324447418400478 ~1983
2324471185957698 ~1982
2324503232450318 ~1982
2324503371920498
2324701511434238 ~1983
232487946497597 ~1981
2324981743993938 ~1984
2325077139504638 ~1982
2325199976583598 ~1984
2325263558063138 ~1983
2325509744162898 ~1984
2325623744199378 ~1984
232567146513437 ~1981
2325767418638078 ~1983
23257791674560899 ~1985
Exp. Prime Factor Digits Year
2325793511674478 ~1983
2325797139547838 ~1982
2325797558191298
232580346516077 ~1981
2325833139549998 ~1982
2326007558241698 ~1983
2326021139096055910 ~1987
2326033139561998 ~1982
2326213558291138 ~1983
23262491256174479 ~1984
232628346525677 ~1981
232640346528077 ~1981
2326517139591038 ~1982
2326747791093998 ~1984
2326781186142498 ~1982
232705146541037 ~1981
2327197372351538 ~1983
23272072792648419 ~1985
232739946547997 ~1981
2327399186191938
2327401139644078 ~1982
2327473372395698 ~1983
232763946552797 ~1981
2327701139662078 ~1982
2327737139664238 ~1982
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