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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
2704421162265278 ~1982
270445154089037 ~1981
2704567432730738 ~1983
27045791081831619 ~1984
2704591432734578 ~1983
2704703703222798 ~1984
270473954094797 ~1981
2704813162288798 ~1982
27049571244280239 ~1985
2704979216398338 ~1983
2704981162298878 ~1982
2704981432796978
2704993162299598 ~1982
270506354101277 ~1981
2705111703328878 ~1984
2705257432841138 ~1983
270547154109437 ~1981
270551954110397 ~1981
2705617162337038 ~1982
270566354113277 ~1981
2705819156396338310 ~1987
2705821162349278 ~1982
2705831487049598 ~1984
2705909378827278 ~1983
2705957216476578 ~1983
Exp. Prime Factor Digits Year
2705977649434498 ~1984
2705981162358878 ~1982
27059935411986019 ~1986
2706059649454178 ~1984
2706149811844718 ~1984
2706167703603438 ~1984
2706173649481538 ~1984
27062571461378799 ~1985
270641954128397 ~1981
2706437378901198 ~1983
270644354128877 ~1981
2706481433036978 ~1983
2706673162400398 ~1982
2706677649602498 ~1984
270671954134397 ~1981
27067932598521299 ~1985
270692354138477 ~1981
2706967270696718 ~1983
2706967433114738
2707039113154230310 ~1987
270707954141597 ~1981
2707127487282878 ~1984
270716354143277 ~1981
270728354145677 ~1981
2707459649790178 ~1984
Exp. Prime Factor Digits Year
270749954149997 ~1981
2707603649824738 ~1984
270773954154797 ~1981
2707781162466878 ~1982
2707799216623938 ~1983
270809954161997 ~1981
2708099866591698
27081771462415599 ~1985
27082011029116399 ~1984
2708213379149838 ~1983
270824354164877 ~1981
2708261162495678 ~1982
2708261866643538
2708309379163278 ~1983
2708417379178398 ~1983
2708429216674338 ~1983
2708477379186798 ~1983
27085091083403619 ~1984
2708557433369138 ~1983
2708581433372978 ~1983
2708597379203598 ~1983
2708633162517998 ~1982
2708647487556478 ~1984
2708669216693538 ~1983
27087532979628319 ~1985
Exp. Prime Factor Digits Year
27087671083506819 ~1984
2708801162528078 ~1982
27088372167069619 ~1985
270887954177597 ~1981
270890354178077 ~1981
2708903650136738
270899954179997 ~1981
270902354180477 ~1981
2709061595993438 ~1984
2709073162544398 ~1982
2709107216728578 ~1983
27092831733941139 ~1985
27092932167434419 ~1985
2709313812793918 ~1984
270935954187197 ~1981
2709467216757378 ~1983
2709643270964318 ~1983
27097676069878099 ~1986
2709787270978718 ~1983
2709821463379391110 ~1988
2709877162592638 ~1982
27098873251864419 ~1986
2709899216791938 ~1983
2710193162611598 ~1982
2710241162614478 ~1982
474
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25-10-26