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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
5557043111140878 ~1984
5557313778023838 ~1986
5557379111147598 ~1984
5557439111148798 ~1984
5557619111152398 ~1984
5557751444620098 ~1985
5557843555784318 ~1985
5557987889277938 ~1986
5557991111159838 ~1984
55580411667412319 ~1987
5558219444657538 ~1985
5558363111167278 ~1984
5558429444674338 ~1985
5558537444682978 ~1985
5558699111173998 ~1984
5558753333525198 ~1985
5558957333537438 ~1985
55591212557195679 ~1987
55592092112499439 ~1987
5559311111186238 ~1984
5559611111192238 ~1984
5559611444768898
5559839111196798 ~1984
5560267889642738 ~1986
5560271444821698 ~1985
Exp. Prime Factor Digits Year
5560637444850978 ~1985
5560679111213598 ~1984
5560697444855778 ~1985
5560883111217678 ~1984
5560931111218638 ~1984
5561123111222478 ~1984
55614471334747299 ~1986
5561519111230398 ~1984
55616411668492319 ~1987
5561819111236398 ~1984
5561821333709278 ~1985
55618491668554719 ~1987
5561981333718878 ~1985
5562119444969538 ~1985
5562143111242878 ~1984
5562157333729438 ~1985
5562241889958578 ~1986
5562317778724398 ~1986
55624999011248399 ~1988
5562863111257278 ~1984
5562899111257998 ~1984
5562923111258478 ~1984
5562929778810078 ~1986
5562971111259438 ~1984
5563091111261838 ~1984
Exp. Prime Factor Digits Year
55631271335150499 ~1986
5563163111263278 ~1984
5563247445059778 ~1985
5563381333802878 ~1985
5563643111272878 ~1984
5563919111278398 ~1984
5564267445141378 ~1985
5564297333857838 ~1985
5564579111291598 ~1984
5564711111294238 ~1984
5564879111297598 ~1984
5565023111300478 ~1984
5565083111301678 ~1984
5565257333915438 ~1985
5565257445220578
5565473333928398 ~1985
55656971669709119 ~1987
5565713333942798 ~1985
5565809445264738 ~1985
5565827445266178 ~1985
55658877680924079 ~1988
5566091111321838 ~1984
55660971335863299 ~1986
5566147556614718 ~1985
5566271111325438 ~1984
Exp. Prime Factor Digits Year
5566441333986478 ~1985
5566501333990078 ~1985
5566523111330478 ~1984
5566553333993198 ~1985
5566559111331198 ~1984
5566567890650738 ~1986
5566901445352098 ~1985
5566919111338398 ~1984
55669691224733199 ~1986
5567033334021998 ~1985
55671831447467599 ~1986
5567533890805298 ~1986
5567801445424098 ~1985
5567843111356878 ~1984
5567873334072398 ~1985
5567987445438978 ~1985
5568149779540878 ~1986
5568161445452898 ~1985
5568239445459138 ~1985
5568547556854718 ~1985
5568677334120638 ~1985
5568791111375838 ~1984
5568821334129278 ~1985
55688471002392479 ~1986
5568971445517698 ~1985
745
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25-12-14