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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
431101186220237 ~1983
4311127689780338 ~1985
4311301689808178 ~1985
43115291293458719 ~1986
431155186231037 ~1983
4311871431187118 ~1985
431207986241597 ~1983
4312181258730878 ~1984
4312261948697438 ~1985
4312267431226718 ~1985
4312267689962738
43122791252285821711 ~1991
431240386248077 ~1983
4312447776240478 ~1985
431249986249997 ~1983
431255986251197 ~1983
431263186252637 ~1983
431273986254797 ~1983
4313191690110578 ~1985
4313669345093538 ~1984
4313797258827838 ~1984
431381986276397 ~1983
4313849345107938 ~1984
4313999776519838 ~1985
4314059345124738 ~1984
Exp. Prime Factor Digits Year
43141818283227539 ~1988
4314217258853038 ~1984
4314293258857598 ~1984
43145511121783279 ~1986
431467186293437 ~1983
4314701258882078 ~1984
431483986296797 ~1983
431491186298237 ~1983
4315097258905838 ~1984
431537986307597 ~1983
43154695523800339 ~1987
4315529345242338 ~1984
43155431035730339 ~1985
4315757604205998 ~1985
431579986315997 ~1983
4315873690539698 ~1985
4315991345279298 ~1984
431605186321037 ~1983
4316159345292738 ~1984
4316231345298498 ~1984
4316251776925198 ~1985
43164612071901299 ~1986
4316789604350478 ~1985
4316891345351298 ~1984
43168913885201919
Exp. Prime Factor Digits Year
4317107345368578 ~1984
4317127777082878 ~1985
43171271036110499
431719186343837 ~1983
431725186345037 ~1983
4317517690802738 ~1985
43175171295255119
4317667431766718 ~1985
4317739777193038 ~1985
4317821259069278 ~1984
4317889120900892110 ~1988
4317991431799118 ~1985
431821186364237 ~1983
431827186365437 ~1983
4318543431854318 ~1985
43185971036463299 ~1985
43186492332070479 ~1986
43186693109441699 ~1987
43188232159411519 ~1986
4318997259139838 ~1984
4319257259155438 ~1984
4319311777475998 ~1985
4319339345547138 ~1984
43193391814122399
431936386387277 ~1983
Exp. Prime Factor Digits Year
4319383431938318 ~1985
431953186390637 ~1983
431960386392077 ~1983
4319681345574498 ~1984
4319729345578338 ~1984
431983186396637 ~1983
431995186399037 ~1983
432038386407677 ~1983
432044386408877 ~1983
4320521345641698 ~1984
4320643432064318 ~1985
4320793691326898 ~1985
4320817259249038 ~1984
4320857259251438 ~1984
4320919432091918 ~1985
432125986425197 ~1983
4321357259281438 ~1984
4321397345711778 ~1984
4321483691437298 ~1985
4321613259296798 ~1984
432164386432877 ~1983
4321817259309038 ~1984
4322117259327038 ~1984
4322117345769378
432266386453277 ~1983
656
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26-08-30