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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
2256259225625918 ~1982
2256343541522338 ~1983
2256367361018738 ~1983
225643145128637 ~1981
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
2258033677409918 ~1983
2258041135482478 ~1982
2258111180648898 ~1982
Exp. Prime Factor Digits Year
2258173496798078 ~1983
2258177180654178 ~1982
225818345163677 ~1981
2258213135492798 ~1982
2258299225829918 ~1982
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
Exp. Prime Factor Digits Year
2260051904020418 ~1984
226015145203037 ~1981
2260211180816898 ~1982
2260327226032718 ~1982
226034345206877 ~1981
226040345208077 ~1981
2260451723344338 ~1984
2260501135630078 ~1982
226052345210477 ~1981
22605472034492319 ~1985
2260567361690738 ~1983
226069145213837 ~1981
2260717135643038 ~1982
226076345215277 ~1981
2260961135657678 ~1982
2261071406992798 ~1983
226111145222237 ~1981
22612131401952079 ~1984
2261219407019438 ~1983
2261377361820338 ~1983
2261407226140718 ~1982
226153145230637 ~1981
2261587407085678 ~1983
2261603542784738 ~1983
226163945232797 ~1981
Exp. Prime Factor Digits Year
2261639180931138
226177145235437 ~1981
2261837180946978 ~1982
2261993542878338 ~1983
2262067407172078 ~1983
2262191180975298 ~1982
2262229542934978 ~1983
2262367904946818 ~1984
2262413135744798 ~1982
2262563724020178 ~1984
2262593678777918 ~1983
2262643226264318 ~1982
2262713543051138 ~1983
2262761135765678 ~1982
22627693620430419 ~1985
2262847362055538 ~1983
22629371086209779 ~1984
2263117135787038 ~1982
2263169724214098 ~1984
22631694526338019
2263243543178338 ~1983
226346345269277 ~1981
2263531362164978 ~1983
2263553135813198 ~1982
2263553679065918
424
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25-12-14