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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
4010857641737138
4010893240653598 ~1984
4011053240663198 ~1984
4011103962664738 ~1985
4011257320900578 ~1984
401126380225277 ~1983
4011377240682638 ~1984
4011647962795298 ~1985
4011653561631438 ~1985
4011929320954338 ~1984
4012013240720798 ~1984
4012037320962978 ~1984
40121932487559679 ~1986
401219980243997 ~1983
401227180245437 ~1983
4012321240739278 ~1984
4012441240746478 ~1984
40124871925993779 ~1986
4012549882760798 ~1985
4012709321016738 ~1984
4012721118776541710 ~1988
4012829321026338 ~1984
40128471043340239 ~1985
401311180262237 ~1983
4013153561841438 ~1985
Exp. Prime Factor Digits Year
401336380267277 ~1983
4013567963256098 ~1985
4013591722446398 ~1985
4013621240817278 ~1984
401365180273037 ~1983
4013897240833838 ~1984
4013993561959038 ~1985
4014011321120898 ~1984
4014011722521998
401420380284077 ~1983
4014229883130398 ~1985
401423980284797 ~1983
4014293562001038 ~1985
4014313240858798 ~1984
4014403401440318 ~1984
4014617963508098 ~1985
4014739401473918 ~1984
40148211525631999 ~1986
4014887321190978 ~1984
401497180299437 ~1983
401528380305677 ~1983
4015307321224578 ~1984
401533180306637 ~1983
401546380309277 ~1983
401555980311197 ~1983
Exp. Prime Factor Digits Year
4015577562180798 ~1985
4015637562189198 ~1985
4015679321254338 ~1984
40158111686640639 ~1986
401588380317677 ~1983
4015981240958878 ~1984
4016161240969678 ~1984
401621980324397 ~1983
4016477240988638 ~1984
4016561321324898 ~1984
4016741321339298 ~1984
4016773241006398 ~1984
4016863401686318 ~1984
4017007401700718 ~1984
401713180342637 ~1983
4017313642770098 ~1985
40175471365965999 ~1986
4017599321407938 ~1984
401773180354637 ~1983
401780380356077 ~1983
40180813134103199 ~1986
4018087401808718 ~1984
4018087964340898
4018207642913138 ~1985
4018627401862718 ~1984
Exp. Prime Factor Digits Year
4018649562610878 ~1985
4018739321499138 ~1984
4018853241131198 ~1984
4018921643027378 ~1985
4019069562669678 ~1985
4019101643056178 ~1985
4019153241149198 ~1984
401915980383197 ~1983
4019173643067698 ~1985
4019359964646178 ~1985
4019461241167678 ~1984
4019579321566338 ~1984
401959180391837 ~1983
402011980402397 ~1983
4020227321618178 ~1984
4020277241216638 ~1984
4020287321622978 ~1984
402032380406477 ~1983
402043180408637 ~1983
4020461321636898 ~1984
402056380411277 ~1983
4020713241242798 ~1984
4020977241258638 ~1984
402107980421597 ~1983
402109180421837 ~1983
593
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25-04-13