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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
2550013408002098 ~1983
255008351001677 ~1981
2550179459032238 ~1983
2550343255034318 ~1983
255047951009597 ~1981
255056351011277 ~1981
2550577612138498 ~1984
2550619255061918 ~1983
2550727255072718 ~1983
2550859612206178 ~1984
2550871255087118 ~1983
2550971663252478 ~1984
2551097357153598 ~1983
2551273153076398 ~1982
2551543408246898 ~1983
25516511479957599 ~1985
25517333419322239 ~1986
2551867459336078 ~1983
255194351038877 ~1981
2551987408317938 ~1983
2552021204161698 ~1983
2552059459370638 ~1983
2552113153126798 ~1982
25521191020847619 ~1984
255217151043437 ~1981
Exp. Prime Factor Digits Year
2552219204177538 ~1983
2552293153137598 ~1982
2552477153148638 ~1982
25525271633617299 ~1985
255253151050637 ~1981
25525875309380979 ~1986
2552777153166638 ~1982
255293951058797 ~1981
2552951459531198 ~1983
2552969357415678 ~1983
25529691225425139
2553017153181038 ~1982
2553053153183198 ~1982
2553101153186078 ~1982
2553209204256738 ~1983
2553301408528178 ~1983
2553433612823938 ~1984
255353951070797 ~1981
255359951071997 ~1981
2553701153222078 ~1982
2553937612944898 ~1984
255395951079197 ~1981
2554007459721278 ~1983
25542311685792479 ~1985
2554249561934798 ~1984
Exp. Prime Factor Digits Year
255431951086397 ~1981
2554319204345538
2554319123118175910
255443951088797 ~1981
2554843255484318 ~1983
2554891255489118 ~1983
2554921153295278 ~1982
2554973613193538 ~1984
2555099204407938 ~1983
25552631635368339 ~1985
2555353562177678 ~1984
2555429204434338 ~1983
2555591204447298 ~1983
255571151114237 ~1981
2556019255601918 ~1983
255602351120477 ~1981
2556061562333438 ~1984
2556179204494338 ~1983
25564571636132499 ~1985
2556487613556898 ~1984
255650351130077 ~1981
2556569357919678 ~1983
2556569613576578
2556607460189278 ~1983
255680351136077 ~1981
Exp. Prime Factor Digits Year
2556857153411438 ~1982
2556857204548578
2556913562520878 ~1984
2557277153436638 ~1982
2557297409167538 ~1983
2557333409173298 ~1983
25575613836341519 ~1986
2557663255766318 ~1983
2557781153466878 ~1982
2557781767334318
2557813153468798 ~1982
25578131381219039
255782351156477 ~1981
255793151158637 ~1981
2557967665071438 ~1984
2558021972047998 ~1984
25581312097667439 ~1985
2558173153490398 ~1982
25582195730410579 ~1986
2558287255828718 ~1983
255841151168237 ~1981
2558419255841918 ~1983
2558581409372978 ~1983
2558683409389298 ~1983
2558791409406578 ~1983
460
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26-01-11