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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
2799103671784738
2799151279915118 ~1983
2799397167963838 ~1983
2799409671858178 ~1984
2799539503917038 ~1984
2799607447937138 ~1984
2799661167979678 ~1983
2799733167983998 ~1983
2799733671935938
2799791120950971310 ~1987
2799829615962398 ~1984
27998332015879779 ~1985
2799893167993598 ~1983
279989955997997 ~1981
279991155998237 ~1981
2799977167998638 ~1983
2799977671994498
2800051589690740710 ~1989
280007956001597 ~1981
280013956002797 ~1981
2800309672074178 ~1984
2800321168019278 ~1983
2800397224031778 ~1983
2800481168028878 ~1983
2800561448089778 ~1984
Exp. Prime Factor Digits Year
2800583896186578 ~1984
280088356017677 ~1981
2800921616202638 ~1984
280100356020077 ~1981
2801111224088898 ~1983
280121956024397 ~1981
2801273392178238 ~1983
2801287448205938 ~1984
280133956026797 ~1981
2801369672328578 ~1984
2801431504257598 ~1984
2801459224116738 ~1983
2801573168094398 ~1983
2801621840486318 ~1984
28016411120656419 ~1985
280178356035677 ~1981
2801921224153698 ~1983
2801977672474498 ~1984
2802013448322098 ~1984
280217956043597 ~1981
2802257168135438 ~1983
280231156046237 ~1981
280247956049597 ~1981
2802601168156078 ~1983
2802797224223778 ~1983
Exp. Prime Factor Digits Year
2802847672683298 ~1984
2802949616648798 ~1984
2802959224236738 ~1983
2803081616677838 ~1984
2803183448509298 ~1984
28032013532033279 ~1986
280325956065197 ~1981
28032911121316419 ~1985
2803399280339918 ~1983
280340356068077 ~1981
280351156070237 ~1981
28035191121407619 ~1985
2803637392509198 ~1983
2803639280363918 ~1983
2803663448586098 ~1984
280379956075997 ~1981
2803847504692478 ~1984
2803873448619698 ~1984
2804057168243438 ~1983
2804239673017378 ~1984
2804437673064898 ~1984
280459156091837 ~1981
280469956093997 ~1981
2804807224384578 ~1983
280483156096637 ~1981
Exp. Prime Factor Digits Year
280489156097837 ~1981
2805113168306798 ~1983
280525156105037 ~1981
280537156107437 ~1981
280544356108877 ~1981
2805497224439778 ~1983
2805529673326978 ~1984
2805619280561918 ~1983
2806007224480578 ~1983
280603156120637 ~1981
280621156124237 ~1981
280643956128797 ~1981
2806711280671118 ~1983
2806787505221678 ~1984
2806907673657698 ~1984
2807087505275678 ~1984
280711156142237 ~1981
2807141224571298 ~1983
2807177393004798 ~1983
2807323280732318 ~1983
280753156150637 ~1981
2807593168455598 ~1983
2807927224634178 ~1983
2808061168483678 ~1983
2808269393157678 ~1983
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25-11-17