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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
80548811288780979
8054939161098798 ~1985
8055143161102878 ~1985
8055193483311598 ~1986
80554734511064899 ~1988
8055647644451778 ~1986
8055959161119198 ~1985
8056033483361998 ~1986
8056211161124238 ~1985
8056219805621918 ~1987
8056259161125198 ~1985
8056261483375678 ~1986
8056271161125438 ~1985
8056679161133598 ~1985
8056681483400878 ~1986
8056799161135998 ~1985
8056859161137198 ~1985
8057017483421038 ~1986
8057561644604898 ~1986
8057639161152798 ~1985
80576691128073679 ~1987
8057893483473598 ~1986
80581332417439919 ~1988
8058733483523998 ~1986
8058899644711938 ~1986
Exp. Prime Factor Digits Year
80589291128250079 ~1987
8059151161183038 ~1985
8059193483551598 ~1986
8059741483584478 ~1986
8060609644848738 ~1986
8060681483640878 ~1986
8060861483651678 ~1986
8060891161217838 ~1985
8060939161218798 ~1985
80609571128533999 ~1987
8061007806100718 ~1987
80612893224515619 ~1988
8061773483706398 ~1986
8061839644947138 ~1986
8062079161241598 ~1985
8062451161249038 ~1985
8062793483767598 ~1986
8062823161256478 ~1985
8062979645038338 ~1986
8063371806337118 ~1987
8063401483804078 ~1986
8063597483815838 ~1986
80638732580439379 ~1988
8063879161277598 ~1985
8063963161279278 ~1985
Exp. Prime Factor Digits Year
8064431161288638 ~1985
8064473483868398 ~1986
8064517483871038 ~1986
8064839161296798 ~1985
8065133483907998 ~1986
8065391161307838 ~1985
8065439645235138 ~1986
8065679161313598 ~1985
8065751161315038 ~1985
8066291161325838 ~1985
80662914033145519
80664111451953999 ~1987
8066543161330878 ~1985
8066761484005678 ~1986
80667712581366739 ~1988
8066879161337598 ~1985
8067023161340478 ~1985
8067179161343598 ~1985
8067551161351038 ~1985
8067863161357278 ~1985
8067881484072878 ~1986
8068019161360398 ~1985
80680791936338979 ~1988
80681711452270799 ~1987
8068223161364478 ~1985
Exp. Prime Factor Digits Year
8068457484107438 ~1986
80687771936506499 ~1988
8069531645562498 ~1986
8069533484171998 ~1986
8070599161411998 ~1985
80708579685028419 ~1989
8071033484261998 ~1986
8071127645690178 ~1986
8071139161422798 ~1985
8071223161424478 ~1985
8071319645705538 ~1986
8071463161429278 ~1985
8071517484291038 ~1986
8072041484322478 ~1986
8072111161442238 ~1985
8072137484328238 ~1986
80721591452988639 ~1987
8072171161443438 ~1985
8072171645773698
8072591161451838 ~1985
80726212583238739 ~1988
8073041645843298 ~1986
8073077484384638 ~1986
8073431161468638 ~1985
8073491161469838 ~1985
908
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25-07-08