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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
2743057438889138 ~1983
274325954865197 ~1981
2743457658429698 ~1984
2743577384100798 ~1983
2743589384102478 ~1983
27436691097467619 ~1984
274370354874077 ~1981
2743709219496738 ~1983
274405154881037 ~1981
274409954881997 ~1981
2744111713468878 ~1984
27442333896810879 ~1986
27442371042810079 ~1984
2744309230521956110 ~1988
274441154888237 ~1981
2744419658660578 ~1984
2744513384231838 ~1983
274463954892797 ~1981
274469954893997 ~1981
2744713439154098 ~1983
2744747713634238 ~1984
2745047494108478 ~1984
274537154907437 ~1981
274541954908397 ~1981
2745661604045438 ~1984
Exp. Prime Factor Digits Year
274571954914397 ~1981
2745833164749998 ~1982
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
27467531757921939 ~1985
2746921164815278 ~1982
2747117164827038 ~1982
2747117384596398
274724354944877 ~1981
2747273164836398 ~1982
2747347439575538 ~1983
2747491439598578 ~1983
274757954951597 ~1981
Exp. Prime Factor Digits Year
2747617659428098 ~1984
2747627659430498 ~1984
274763954952797 ~1981
2747687219814978 ~1983
274781954956397 ~1981
2747959934306078 ~1984
2748037164882238 ~1982
2748077164884638 ~1982
2748257219860578 ~1983
27482571044337679
27483912473551919 ~1985
2748401164904078 ~1982
274873154974637 ~1981
2748953659748738 ~1984
2749157164949438 ~1982
2749363659847138 ~1984
274939154987837 ~1981
2749391494890398
2749499494909838 ~1984
274951154990237 ~1981
2749711274971118 ~1983
2749777164986638 ~1982
274991954998397 ~1981
275012355002477 ~1981
2750353165021198 ~1982
Exp. Prime Factor Digits Year
2750431275043118 ~1983
2750479660114978 ~1984
2750677165040638 ~1982
275077155015437 ~1981
27507912640759379 ~1985
2750809605177998 ~1984
2750857165051438 ~1982
27508573246011279
275093955018797 ~1981
2750999880319698 ~1984
2751041165062478 ~1982
2751667440266738 ~1983
27516671595966879
275186355037277 ~1981
2751899495341838 ~1984
275210355042077 ~1981
2752201165132078 ~1982
2752223660533538 ~1984
2752223715577998
27522316605354419 ~1986
27522711321090099 ~1985
275233155046637 ~1981
2752357165141438 ~1982
2752481165148878 ~1982
275261955052397 ~1981
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