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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
2310733554575938
2310751970515438 ~1984
231091146218237 ~1981
2310911184872898
23110092357229199 ~1985
2311013323541838 ~1983
2311051369768178 ~1983
2311079184886338 ~1982
2311333554719938 ~1983
231145146229037 ~1981
2311451970809438
23114511155725519
2311469323605678 ~1983
2311667416100078 ~1983
231181146236237 ~1981
2311889878517838 ~1984
231193146238637 ~1981
2312021184961698 ~1982
2312147184971778 ~1982
2312347416222478 ~1983
2312381184990498 ~1982
2312477554994498 ~1983
23127472266492079 ~1985
23127892405300579 ~1985
23128011989008879 ~1985
Exp. Prime Factor Digits Year
2312899925159618 ~1984
2312909323807278 ~1983
231293946258797 ~1981
231295146259037 ~1981
231296346259277 ~1981
2313007231300718 ~1982
23131074302379039 ~1985
2313163231316318 ~1982
231332346266477 ~1981
2313347555203298 ~1983
2313401138804078 ~1982
2313431185074498 ~1982
2313433138805998 ~1982
2313461138807678 ~1982
2313629185090338 ~1982
2313643231364318 ~1982
23139291110685939 ~1984
2313973138838398 ~1982
23139731666060579
2314133138847998 ~1982
231419946283997 ~1981
2314259185140738 ~1982
231437946287597 ~1981
231439146287837 ~1981
2314391185151298
Exp. Prime Factor Digits Year
23145471527601039 ~1984
231458346291677 ~1981
231461946292397 ~1981
2314619190724605710
23146731851738419 ~1985
231481146296237 ~1981
231485946297197 ~1981
231494346298877 ~1981
23149693287255999 ~1985
2314997138899838 ~1982
2315003601900798 ~1983
231503946300797 ~1981
23150632778075619 ~1985
2315107555625698 ~1983
231512346302477 ~1981
23151491111271539 ~1984
2315177138910638 ~1982
2315233138913998 ~1982
2315329509372398 ~1983
23153711111378099 ~1984
2315407231540718 ~1982
2315581926232418 ~1984
2315597324183598 ~1983
2315659416818638 ~1983
231569946313997 ~1981
Exp. Prime Factor Digits Year
2315947231594718 ~1982
231632346326477 ~1981
23163736722577720711 ~1991
2316757370681138 ~1983
2317169185373538 ~1982
231722346344477 ~1981
2317229324412078 ~1983
2317327556158498 ~1983
231739146347837 ~1981
2317619185409538 ~1982
231763146352637 ~1981
231769146353837 ~1981
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
420
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25-04-13