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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
2235557134133438 ~1982
2235617134137038 ~1982
2235647178851778 ~1982
2235797536591298 ~1983
2235803581308798 ~1983
2235851402453198 ~1983
2235869670760718 ~1983
2235907357745138 ~1983
2235971402474798 ~1983
22360091565206319 ~1984
223607944721597 ~1981
2236183536683938 ~1983
2236189491961598 ~1983
2236349313088878 ~1983
2236417536740098 ~1983
2236657134199438 ~1982
2236747357879538 ~1983
2236769178941538 ~1982
223682344736477 ~1981
2236907178952578 ~1982
2236981134218878 ~1982
223705144741037 ~1981
2237143536914338 ~1983
2237413492230878 ~1983
2237563127541091110 ~1987
Exp. Prime Factor Digits Year
223778344755677 ~1981
2237813313293838 ~1983
223801144760237 ~1981
223802344760477 ~1981
22382331253410499 ~1984
2238361134301678 ~1982
2238419179073538 ~1982
2238473313386238 ~1983
22384731208775439
2238487402927678 ~1983
2238721134323278 ~1982
2238799223879918 ~1982
2238811223881118 ~1982
2239007403021278 ~1983
2239049179123938 ~1982
2239103537384738 ~1983
2239157134349438 ~1982
2239459223945918 ~1982
2239561358329778 ~1983
2239577179166178 ~1982
2239591223959118 ~1982
2239709716706898 ~1984
2239711895884418 ~1984
2239723223972318 ~1982
2239957134397438 ~1982
Exp. Prime Factor Digits Year
2240071403212798 ~1983
2240101134406078 ~1982
224015944803197 ~1981
224029144805837 ~1981
2240291179223298
2240377134422638 ~1982
2240389537693378 ~1983
2240633313688638 ~1983
224066344813277 ~1981
2240747179259778 ~1982
2240759941118798 ~1984
2240809537794178 ~1983
2240837378253285710 ~1988
224096344819277 ~1981
2240977537834498 ~1983
2241011179280898 ~1982
2241011582662878
2241013347805217710 ~1988
22410491210166479 ~1984
224111944822397 ~1981
2241163358586098 ~1983
22412512151600979 ~1985
224131144826237 ~1981
2241359179308738 ~1982
2241431179314498 ~1982
Exp. Prime Factor Digits Year
22414311793144819
224144344828877 ~1981
2241509313811278 ~1983
2241599403487838 ~1983
2242187179374978 ~1982
224221144844237 ~1981
2242231224223118 ~1982
2242291358766578 ~1983
224234344846877 ~1981
224237944847597 ~1981
2242517134551038 ~1982
2242733538255938 ~1983
224273944854797 ~1981
2242739717676498
224276344855277 ~1981
2242781134566878 ~1982
224281144856237 ~1981
2242811717699538
2242847179427778 ~1982
224287144857437 ~1981
2242873134572398 ~1982
2242921134575278 ~1982
22429571570069919 ~1984
2243027179442178 ~1982
22430771749600079 ~1984
411
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25-04-13