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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
4014229883130398 ~1985
401423980284797 ~1983
4014293562001038 ~1985
4014313240858798 ~1984
4014403401440318 ~1984
4014559722620638 ~1985
4014617963508098 ~1985
4014739401473918 ~1984
40148211525631999 ~1986
4014887321190978 ~1984
401497180299437 ~1983
401528380305677 ~1983
4015307321224578 ~1984
401533180306637 ~1983
401546380309277 ~1983
401555980311197 ~1983
4015577562180798 ~1985
4015637562189198 ~1985
4015679321254338 ~1984
40158111686640639 ~1986
401588380317677 ~1983
4015981240958878 ~1984
4016161240969678 ~1984
401621980324397 ~1983
4016477240988638 ~1984
Exp. Prime Factor Digits Year
4016561321324898 ~1984
4016741321339298 ~1984
4016773241006398 ~1984
4016863401686318 ~1984
4017007401700718 ~1984
4017007642721138
401713180342637 ~1983
4017313642770098 ~1985
40175471365965999 ~1986
4017599321407938 ~1984
401773180354637 ~1983
401780380356077 ~1983
4017931642868978 ~1985
40180813134103199 ~1986
4018087401808718 ~1984
4018087964340898
4018207642913138 ~1985
4018627401862718 ~1984
4018649562610878 ~1985
4018739321499138 ~1984
4018853241131198 ~1984
4018921643027378 ~1985
4018981643036978 ~1985
4019069562669678 ~1985
4019101643056178 ~1985
Exp. Prime Factor Digits Year
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
402115180423037 ~1983
4021153241269198 ~1984
40211776031765519 ~1987
4021261241275678 ~1984
4021397241283838 ~1984
4021397321711778
Exp. Prime Factor Digits Year
40214172573706899 ~1986
40215131206453919 ~1985
4021561241293678 ~1984
40216074182471299 ~1987
4021751723915198 ~1985
4021777241306638 ~1984
4021973241318398 ~1984
40220271930572979 ~1986
4022041241322478 ~1984
4022189321775138 ~1984
4022197643551538 ~1985
40222031608881219 ~1986
402230380446077 ~1983
402233980446797 ~1983
4022477241348638 ~1984
4022477563146798
402266380453277 ~1983
402278380455677 ~1983
402283180456637 ~1983
402289180457837 ~1983
4023401321872098 ~1984
4023599965663778 ~1985
40236191368030479 ~1986
402367180473437 ~1983
4023671321893698
595
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25-05-04