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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
236099947219997 ~1981
23610917744378499 ~1986
236111947222397 ~1981
2361167425010078 ~1983
2361179188894338 ~1982
2361397141683838 ~1982
2361607236160718 ~1982
2361913576306772110 ~1988
2361941188955298 ~1982
23620571133787379 ~1984
236216347243277 ~1981
2362181188974498 ~1982
236233147246637 ~1981
2362421188993698 ~1982
2362571189005698 ~1982
2362729519800398 ~1983
236275147255037 ~1981
2362751614315278
2362817189025378 ~1982
23629011701288739 ~1985
2362961141777678 ~1982
2363209519905998 ~1983
236330347266077 ~1981
2363303992587278
2363461519961438 ~1983
Exp. Prime Factor Digits Year
23636231938170879 ~1985
236363947272797 ~1981
2363653141819198 ~1982
2363741141824478 ~1982
23639411087412879 ~1984
23640138510446819 ~1986
2364067425532078 ~1983
236411947282397 ~1981
2364133520109278 ~1983
2364149756527698 ~1984
2364247803843998 ~1984
2364589567501378 ~1983
236459947291997 ~1981
236461147292237 ~1981
2364841141890478 ~1982
2364907425683278 ~1983
2364941141896478 ~1982
2365289331140478 ~1983
2365553331177438 ~1983
2365607425809278 ~1983
2365681141940878 ~1982
236585947317197 ~1981
2366053709815918 ~1984
236609947321997 ~1981
2366311236631118 ~1982
Exp. Prime Factor Digits Year
2366369331291678 ~1983
2366473709941918 ~1984
2366491378638578 ~1983
2366671378667378 ~1983
2366831615376078 ~1983
2366851378696178 ~1983
236708347341677 ~1981
236720347344077 ~1981
236725147345037 ~1981
2367293142037598 ~1982
23673471136326579 ~1984
2367389189391138 ~1982
2367397142043838 ~1982
2367427236742718 ~1982
2367467109850468910 ~1987
2367731189418498 ~1982
2367797142067838 ~1982
2367797189423778
2367823947129218 ~1984
2367857142071438 ~1982
236786347357277 ~1981
236789947357997 ~1981
236798347359677 ~1981
2368313142098798 ~1982
2368393142103598 ~1982
Exp. Prime Factor Digits Year
236840347368077 ~1981
2368433710529918 ~1984
236845147369037 ~1981
2368757568501698 ~1983
236879947375997 ~1981
236887147377437 ~1981
236897947379597 ~1981
2369077142144638 ~1982
2369117331676398 ~1983
236918347383677 ~1981
2369201189536098 ~1982
236921947384397 ~1981
236923147384637 ~1981
236929147385837 ~1981
2369291189543298
236930347386077 ~1981
2369441142166478 ~1982
2369537189562978 ~1982
236963947392797 ~1981
2369707426547278 ~1983
2370019568804578 ~1983
2370113331815838 ~1983
2370317142219038 ~1982
237032347406477 ~1981
2370503995611278 ~1984
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