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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.
Exponent Prime Factor Digits Year
12025261721515678 ~1987
12025319240506398 ~1986
12025463240509278 ~1986
12026291240525838 ~1986
12026603240532078 ~1986
12027623240552478 ~1986
120277492886659779 ~1989
12027803240556078 ~1986
12027863240557278 ~1986
12028409962272738 ~1988
12028739240574798 ~1986
12028799240575998 ~1986
120292312165261599 ~1989
12029561721773678 ~1987
12029573721774398 ~1987
12029657721779438 ~1987
12029663240593278 ~1986
12029711240594238 ~1986
12029737721784238 ~1987
12029819240596398 ~1986
120304371684261199 ~1988
12030521721831278 ~1987
120305392887329379 ~1989
120306774571657279 ~1989
12031319240626398 ~1986
Exponent Prime Factor Digits Year
12031337721880238 ~1987
12031931240638638 ~1986
12031931962554498
12032213721932798 ~1987
120322132887731139
12032879240657598 ~1986
120340131684761839 ~1988
12034331240686638 ~1986
12034777722086638 ~1987
12034943240698878 ~1986
12035183240703678 ~1986
120353331684946639 ~1988
120353693851318099 ~1989
12035519240710398 ~1986
12035999962879938 ~1988
12036023240720478 ~1986
120367072166607279 ~1989
120368512166633199 ~1989
12036853722211198 ~1987
12036953722217198 ~1987
12037379240747598 ~1986
12037643240752878 ~1986
120377992166803839 ~1989
12037897488738618310 ~1992
120379371685311199 ~1988
Exponent Prime Factor Digits Year
12038423240768478 ~1986
12038531240770638 ~1986
12038879240777598 ~1986
12039239240784798 ~1986
12039311240786238 ~1986
120394572889469699 ~1989
120396071203960719 ~1988
120397995056715599 ~1990
12039803240796078 ~1986
12040073722404398 ~1987
12040163240803278 ~1986
12040331240806638 ~1986
12040571240811438 ~1986
12040823240816478 ~1986
12041171240823438 ~1986
12041279240825598 ~1986
12041663240833278 ~1986
12042059240841198 ~1986
12042083240841678 ~1986
12042311240846238 ~1986
12042659240853198 ~1986
12042677963414178 ~1988
12042683240853678 ~1986
12042809963424738 ~1988
12042983240859678 ~1986
Exponent Prime Factor Digits Year
120430272167744879 ~1989
120430391204303919 ~1988
12043151240863038 ~1986
12043441722606478 ~1987
12043571240871438 ~1986
120436371686109199 ~1988
12044159240883198 ~1986
12044297722657838 ~1987
12044321722659278 ~1987
12044471240889438 ~1986
12044723240894478 ~1986
12044741963579298 ~1988
12044953722697198 ~1987
120460332891047939 ~1989
12046103240922078 ~1986
12046403240928078 ~1986
12046691240933838 ~1986
12047039240940798 ~1986
120474791204747919 ~1988
12047531240950638 ~1986
12048083240961678 ~1986
12048551240971038 ~1986
120486833132657599 ~1989
12048923240978478 ~1986
12049153722949198 ~1987
1128
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25-07-08