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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.
Exponent Prime Factor Digits Year
198781971590255779 ~1989
19878539397570798 ~1988
19878671397573438 ~1988
19878779397575598 ~1988
19878983397579678 ~1988
19879439397588798 ~1988
198795974771103299 ~1991
198798011192788079 ~1989
19879883397597678 ~1988
19880111397602238 ~1988
19880771397615438 ~1988
198808571192851439 ~1989
19881503397630078 ~1988
19882091397641838 ~1988
198822731192936399 ~1989
19882403397648078 ~1988
19882591131225100710 ~1992
19882631397652638 ~1988
19882871397657438 ~1988
19883543397670878 ~1988
19883711397674238 ~1988
19884071397681438 ~1988
19884191397683838 ~1988
19884311397686238 ~1988
198860934772662339 ~1991
Exponent Prime Factor Digits Year
19886411397728238 ~1988
19886423397728478 ~1988
19886759397735198 ~1988
198871931193231599 ~1989
19888331397766638 ~1988
19888343397766878 ~1988
19888439397768798 ~1988
19888703397774078 ~1988
19888873139222111110 ~1992
198895371193372239 ~1989
19890443397808878 ~1988
198909731193458399 ~1989
19891439397828798 ~1988
19891523397830478 ~1988
198918771591350179 ~1989
198919811193518879 ~1989
19892003397840078 ~1988
19892759397855198 ~1988
19893299397865998 ~1988
19893479397869598 ~1988
19893719397874398 ~1988
19893803397876078 ~1988
198938515172401279 ~1991
19894223397884478 ~1988
198951531193709199 ~1989
Exponent Prime Factor Digits Year
198952631989526319 ~1990
19895303397906078 ~1988
198954531193727199 ~1989
19895651397913038 ~1988
19896419397928398 ~1988
198966891591735139 ~1989
19897079397941598 ~1988
19897271397945438 ~1988
19897331397946638 ~1988
19897343397946878 ~1988
19897859397957198 ~1988
198979511989795119 ~1990
19898159397963198 ~1988
198983571193901439 ~1989
19898471397969438 ~1988
19898603397972078 ~1988
19898639397972798 ~1988
19898663397973278 ~1988
198987014377714239 ~1991
19898771397975438 ~1988
19899791397995838 ~1988
198997911591983299
198997931193987599 ~1989
198998331193989999 ~1989
19899947254719321710 ~1992
Exponent Prime Factor Digits Year
19899983397999678 ~1988
19900379398007598 ~1988
19900739398014798 ~1988
19901363398027278 ~1988
199015371592122979 ~1989
19901663398033278 ~1988
19901723398034478 ~1988
199017731194106399 ~1989
19902119398042398 ~1988
19902203398044078 ~1988
199028531194171199 ~1989
199030211194181279 ~1989
199033971194203839 ~1989
19903451398069038 ~1988
19903619398072398 ~1988
19904051398081038 ~1988
19904999398099998 ~1988
19905191398103838 ~1988
19905251398105038 ~1988
19905491398109838 ~1988
19905719398114398 ~1988
19905779398115598 ~1988
19905911398118238 ~1988
19906079398121598 ~1988
19906811398136238 ~1988
1362
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24-10-27