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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
2252113135126798 ~1982
22521491576504319 ~1984
2252219405399438 ~1983
22523891216290079 ~1984
2252477135148638 ~1982
22526392342744579 ~1985
2252897180231778 ~1982
2252917135175038 ~1982
2252917901166818
2253127360500338 ~1983
22531371757446879 ~1984
2253193135191598 ~1982
2253203540768738 ~1983
2253281180262498 ~1982
2253311405595998 ~1983
225332345066477 ~1981
2253451225345118 ~1982
2253481135208878 ~1982
225353945070797 ~1981
225365945073197 ~1981
2253721360595378 ~1983
22537211983274499
2253803721216978 ~1984
2253821180305698 ~1982
2253847225384718 ~1982
Exp. Prime Factor Digits Year
225389945077997 ~1981
2253997540959298 ~1983
22539971036838639
2254501495990238 ~1983
2254531405815598 ~1983
225464345092877 ~1981
2254697180375778 ~1982
225479945095997 ~1981
22548711262727779 ~1984
2254937135296238 ~1982
22550033292304399 ~1985
2255063541215138 ~1983
22551473247411699 ~1985
2255299225529918 ~1982
2255459541310178 ~1983
2255573135334398 ~1982
2255837135350238 ~1982
2255959225595918 ~1982
2255987541436898 ~1983
2256013360962098 ~1983
225625145125037 ~1981
2256259225625918 ~1982
2256343541522338 ~1983
2256367361018738 ~1983
225643145128637 ~1981
Exp. Prime Factor Digits Year
2256469902587618 ~1984
2256539180523138 ~1982
2256601361056178 ~1983
225662345132477 ~1981
2256721361075378 ~1983
225673145134637 ~1981
22568571218702799 ~1984
22570513791845699 ~1985
225710345142077 ~1981
2257373541769538 ~1983
2257403586924798 ~1983
2257439406339038 ~1983
2257441135446478 ~1982
2257487180598978 ~1982
225751145150237 ~1981
2257529180602338 ~1982
2257781180622498 ~1982
225788345157677 ~1981
2258041135482478 ~1982
2258111180648898 ~1982
2258173496798078 ~1983
2258177180654178 ~1982
225818345163677 ~1981
2258213135492798 ~1982
2258299225829918 ~1982
Exp. Prime Factor Digits Year
2258299406493838
2258323361331698 ~1983
2258357180668578 ~1982
225836345167277 ~1981
2258519542044578 ~1983
2258561135513678 ~1982
2258621180689698 ~1982
2258791903516418 ~1984
2258969677690718 ~1983
2259029722889298 ~1984
2259053135543198 ~1982
2259121135547278 ~1982
2259197135551838 ~1982
2259211406657998 ~1983
225937145187437 ~1981
2259377180750178 ~1982
2259493677847918 ~1983
225950345190077 ~1981
2259527180762178 ~1982
225986345197277 ~1981
2260051904020418 ~1984
226015145203037 ~1981
2260211180816898 ~1982
2260327226032718 ~1982
226034345206877 ~1981
414
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25-05-04