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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
5027251804360178 ~1986
5027591100551838 ~1983
5027663100553278 ~1983
50276692714941279 ~1987
50279637340825999 ~1988
5028071100561438 ~1983
5028131402250498 ~1985
5028533301711998 ~1984
5028761301725678 ~1984
5028791100575838 ~1983
50290276940057279 ~1988
5029103100582078 ~1983
5029109704075278 ~1985
5029163100583278 ~1983
50292731508781919 ~1986
5029463100589278 ~1983
50295671710052799 ~1986
5029763100595278 ~1983
5030219100604398 ~1983
5030423100608478 ~1983
5030471100609438 ~1983
5030471402437698
5030653301839198 ~1984
5030681301840878 ~1984
5030771100615438 ~1983
Exp. Prime Factor Digits Year
5031017704342398 ~1985
5031023100620478 ~1983
5031217301873038 ~1984
5031373107671382310 ~1988
5031401402512098 ~1985
5031419402513538 ~1985
5031443100628878 ~1983
5031547503154718 ~1985
5031683100633678 ~1983
50318631207647139 ~1986
5032019100640398 ~1983
5032057301923438 ~1984
5032067402565378 ~1985
5032387905829678 ~1986
50326913321576079 ~1987
5032711503271118 ~1985
5032987503298718 ~1985
5033053301983198 ~1984
5033219100664398 ~1983
5033291100665838 ~1983
5033291402663298
50334531208028739 ~1986
5033663100673278 ~1983
50336631208079139
5033837302030238 ~1984
Exp. Prime Factor Digits Year
5033923503392318 ~1985
5033999100679998 ~1983
5034413704817838 ~1985
5034851402788098 ~1985
5034871129899671910 ~1988
50351871309148639 ~1986
50353691208488579 ~1986
5035463100709278 ~1983
5035571100711438 ~1983
5035711805713778 ~1986
5035861302151678 ~1984
50359991712239679 ~1986
5036519100730398 ~1983
5036627402930178 ~1985
5036651100733038 ~1983
5036723100734478 ~1983
5036873302212398 ~1984
5037167402973378 ~1985
5037293302237598 ~1984
5037317302239038 ~1984
5037359100747198 ~1983
5037419100748398 ~1983
5037419402993538
5037607503760718 ~1985
5037611100752238 ~1983
Exp. Prime Factor Digits Year
50379535239471139 ~1988
5038079100761598 ~1983
50380912418283699 ~1987
5038133302287998 ~1984
5038571100771438 ~1983
5038597302315838 ~1984
5038673302320398 ~1984
5038931100778638 ~1983
5039207403136578 ~1985
5039347806295538 ~1986
5039459100789198 ~1983
5039711100794238 ~1983
50397672015906819 ~1987
5039821302389278 ~1984
5040047403203778 ~1985
5040181302410878 ~1984
5040793302447598 ~1984
5041081302464878 ~1984
5041151907407198 ~1986
5041199100823998 ~1983
5041241403299298 ~1985
5041243504124318 ~1985
50415731512471919 ~1986
50415732016629219
5041633302497998 ~1984
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