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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
4184353251061198 ~1984
4184353920557678
4184357251061438 ~1984
418442383688477 ~1983
41844291004262979 ~1985
4184549334763938 ~1984
4184549585836878
41845694268260399 ~1987
418459183691837 ~1983
41848572008731379 ~1986
41853591757850799 ~1986
41854393432059999 ~1987
418547983709597 ~1983
4185661251139678 ~1984
4185673251140398 ~1984
418568383713677 ~1983
4185787669725938 ~1985
418585183717037 ~1983
41858512009208499
4185989334879138 ~1984
41860091255802719 ~1986
4186033251161998 ~1984
41860431004650339 ~1985
41861033348882419 ~1987
4186181251170878 ~1984
Exp. Prime Factor Digits Year
418621183724237 ~1983
41862111758208639
4186691334935298 ~1984
4186877251212638 ~1984
4186907334952578 ~1984
41869071004857699
4187009586181278 ~1985
4187059753670638 ~1985
4187147753686478 ~1985
418730383746077 ~1983
418747183749437 ~1983
4187501335000098 ~1984
418759183751837 ~1983
4187591335007298
41875912345050979
41875971005023299 ~1985
418766383753277 ~1983
4187707418770718 ~1984
4187819753807438 ~1985
4188259418825918 ~1984
4188313251298798 ~1984
41884131256523919 ~1986
4188473586386238 ~1985
418849183769837 ~1983
41885511759191439 ~1986
Exp. Prime Factor Digits Year
41886171005268099 ~1985
4188619418861918 ~1984
41888691340438099 ~1986
418901983780397 ~1983
4189121251347278 ~1984
4189147670263538 ~1985
4189183418918318 ~1984
41892615697394979 ~1987
4189351670296178 ~1985
4189417670306738 ~1985
4189477452463516110 ~1989
418958383791677 ~1983
41896512011032499 ~1986
4189771418977118 ~1984
4189793251387598 ~1984
4189807670369138 ~1985
4189847754172478 ~1985
41900593687251939 ~1987
4190107670417138 ~1985
419018383803677 ~1983
4190447754280478 ~1985
41905339051551299 ~1988
4190701670512178 ~1985
4190777335262178 ~1984
4190969586735678 ~1985
Exp. Prime Factor Digits Year
41909691341110099
4191043419104318 ~1984
4191157251469438 ~1984
419117983823597 ~1983
4191193251471598 ~1984
41912271005894499 ~1985
4191259754426638 ~1985
419131183826237 ~1983
41913531005924739 ~1985
4191373251482398 ~1984
4191491335319298 ~1984
41918292263587679 ~1986
41918298719004339
4191991670718578 ~1985
4192087754575678 ~1985
4192169586903678 ~1985
419227183845437 ~1983
4192277335382178 ~1984
419234383846877 ~1983
4192637335410978 ~1984
419294383858877 ~1983
4192997587019598 ~1985
4193191754774398 ~1985
4193251670920178 ~1985
419341183868237 ~1983
634
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26-03-15