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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
2315329509372398 ~1983
23153711111378099 ~1984
2315407231540718 ~1982
2315581926232418 ~1984
23155811806153199
2315597324183598 ~1983
2315597694679118
2315659416818638 ~1983
231569946313997 ~1981
2315947231594718 ~1982
2315959787426078 ~1984
231632346326477 ~1981
23163736722577720711 ~1991
2316487787605598 ~1984
23164871343562479
23165576810677599 ~1986
2316757370681138 ~1983
2317169185373538 ~1982
231722346344477 ~1981
2317229324412078 ~1983
2317327556158498 ~1983
231739146347837 ~1981
2317619185409538 ~1982
231763146352637 ~1981
231769146353837 ~1981
Exp. Prime Factor Digits Year
23176912781229219
231775146355037 ~1981
231781146356237 ~1981
2317879231787918 ~1982
23178911112587699 ~1984
2317957139077438 ~1982
2318153139089198 ~1982
231815946363197 ~1981
2318189324546478 ~1983
231827946365597 ~1981
23182971251880399 ~1984
2318387602780638 ~1983
2318467231846718 ~1982
231847146369437 ~1981
231848346369677 ~1981
2318489324588478 ~1983
2318567417342078 ~1983
231881946376397 ~1981
231884346376877 ~1981
23188632457994799 ~1985
231889146377837 ~1981
231895146379037 ~1981
231905946381197 ~1981
2319077139144638 ~1982
2319151371064178 ~1983
Exp. Prime Factor Digits Year
2319151417447198
2319181371068978 ~1983
231937146387437 ~1981
2319461139167678 ~1982
2319841139190478 ~1982
2319997927998818 ~1984
232009146401837 ~1981
2320139742444498 ~1984
2320139974458398
2320427185634178 ~1982
23204717611144899 ~1986
23205471113862579 ~1984
2320553139233198 ~1982
232094346418877 ~1981
2320943742701778
2320987371357938 ~1983
2321003557040738 ~1983
2321017139261038 ~1982
2321101928440418 ~1984
23212132367637279 ~1985
2321309557114178 ~1983
2321317365839559310 ~1988
232133946426797 ~1981
2321357139281438 ~1982
232151946430397 ~1981
Exp. Prime Factor Digits Year
232153146430637 ~1981
2321821696546318 ~1984
2321881139312878 ~1982
2322107557305698 ~1983
2322109696632718 ~1984
2322113139326798 ~1982
2322137557312898 ~1983
23223772972642579 ~1985
2322457371593138 ~1983
23224573901727779
23224912786989219 ~1985
2322493139349598 ~1982
2322569185805538 ~1982
23226731068429599 ~1984
232277946455597 ~1981
232279146455837 ~1981
23229612741093999 ~1985
23230011115040499 ~1984
2323037185842978 ~1982
2323213139392798 ~1982
232325946465197 ~1981
2323337185866978 ~1982
2323423557621538 ~1983
232346346469277 ~1981
232363146472637 ~1981
439
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26-07-05