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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
2738707273870718 ~1983
2738761164325678 ~1982
2739013821703918 ~1984
2739043273904318 ~1983
2739133438261298 ~1983
2739281876569938 ~1984
273941954788397 ~1981
2739437219154978 ~1983
2739637164378238 ~1982
2739701164382078 ~1982
2739773383568238 ~1983
2740211219216898 ~1983
274031954806397 ~1981
2740393164423598 ~1982
2740453164427198 ~1982
274051154810237 ~1981
2740559219244738 ~1983
2740559493300638
2740607493309278 ~1984
2740631712564078 ~1984
2740817324512732910 ~1988
2740853164451198 ~1982
2740867274086718 ~1983
27409991151219599 ~1984
27410091699425599 ~1985
Exp. Prime Factor Digits Year
2741147219291778 ~1983
2741231219298498 ~1983
27412314605268099
274135154827037 ~1981
2741357383789998 ~1983
2741357657925698
2741489383808478 ~1983
27415131973889379 ~1985
2741617164497038 ~1982
2741621219329698 ~1983
2741653603163678 ~1984
2741741219339298 ~1983
2741779274177918 ~1983
2741867219349378 ~1983
274193954838797 ~1981
27419932358113999 ~1985
2742031274203118 ~1983
2742163274216318 ~1983
2742199274219918 ~1983
2742241164534478 ~1982
2742241438758578
2742241603293038
27424612632762579 ~1985
2742473383946238 ~1983
2742637438821938 ~1983
Exp. Prime Factor Digits Year
2742673164560398 ~1982
2742749219419938 ~1983
2742931438868978 ~1983
2743007219440578 ~1983
2743057438889138 ~1983
274325954865197 ~1981
2743577384100798 ~1983
2743589384102478 ~1983
274370354874077 ~1981
2743709219496738 ~1983
274405154881037 ~1981
274409954881997 ~1981
27442333896810879 ~1986
2744309230521956110 ~1988
274441154888237 ~1981
2744513384231838 ~1983
274463954892797 ~1981
274469954893997 ~1981
2744713439154098 ~1983
2745047494108478 ~1984
274537154907437 ~1981
274541954908397 ~1981
2745661604045438 ~1984
274571954914397 ~1981
2745833164749998 ~1982
Exp. Prime Factor Digits Year
274586354917277 ~1981
2745929219674338 ~1983
274597154919437 ~1981
2746169878774098 ~1984
2746207494317278 ~1984
274628354925677 ~1981
2746297659111298 ~1984
274631954926397 ~1981
2746409384497278 ~1983
2746433164785998 ~1982
27465113295813219 ~1986
2746609604253998 ~1984
274664354932877 ~1981
27466512636784979 ~1985
2746921164815278 ~1982
2747117164827038 ~1982
2747117384596398
274724354944877 ~1981
2747273164836398 ~1982
2747347439575538 ~1983
2747491439598578 ~1983
274757954951597 ~1981
274763954952797 ~1981
2747687219814978 ~1983
274781954956397 ~1981
469
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25-05-04