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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
2357851424413198 ~1983
23578511131768499
2357941707382318 ~1984
2358017188641378 ~1982
235814347162877 ~1981
2358151235815118 ~1982
235820347164077 ~1981
23582215235250639 ~1986
235853947170797 ~1981
235862347172477 ~1981
2358661141519678 ~1982
2358781707634318 ~1984
2359013141540798 ~1982
2359103613366798 ~1983
235913947182797 ~1981
2359207235920718 ~1982
2359339141560340110 ~1987
2359349330308878 ~1983
2359381141562878 ~1982
2359391613441678 ~1983
235946347189277 ~1981
235949947189997 ~1981
235955947191197 ~1981
235973947194797 ~1981
2359769330367678 ~1983
Exp. Prime Factor Digits Year
2359901188792098 ~1982
2359921141595278 ~1982
2360027613607038 ~1984
2360101141606078 ~1982
23601473445814639 ~1985
2360201141612078 ~1982
2360201708060318
2360207188816578 ~1982
236027947205597 ~1981
23603211321779779 ~1984
23603811463436239 ~1984
23605391369112639 ~1984
2360749566579778 ~1983
23607591133164339 ~1984
236084347216877 ~1981
236099947219997 ~1981
23610917744378499 ~1986
236111947222397 ~1981
2361167425010078 ~1983
2361179188894338 ~1982
2361397141683838 ~1982
2361607236160718 ~1982
2361913576306772110 ~1988
2361941188955298 ~1982
23620571133787379 ~1984
Exp. Prime Factor Digits Year
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
23636231938170879 ~1985
236363947272797 ~1981
2363653141819198 ~1982
2363741141824478 ~1982
23639411087412879 ~1984
23640138510446819 ~1986
2364067425532078 ~1983
236411947282397 ~1981
2364133520109278 ~1983
2364149756527698 ~1984
Exp. Prime Factor Digits Year
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
2366369331291678 ~1983
2366473709941918 ~1984
2366491378638578 ~1983
2366671378667378 ~1983
2366831615376078 ~1984
2366851378696178 ~1983
2367059757458898 ~1984
236708347341677 ~1981
236720347344077 ~1981
236725147345037 ~1981
440
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26-03-15