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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.
Exponent Prime Factor Digits Year
513374077308024446310 ~2000
513374111102674822310 ~1999
513375959102675191910 ~1999
513396761410717408910 ~2000
513423983102684796710 ~1999
513424799102684959910 ~1999
513425909410740727310 ~2000
5134312271232234944911 ~2002
513439463102687892710 ~1999
513442931102688586310 ~1999
513447793308068675910 ~2000
513452531102690506310 ~1999
513457597308074558310 ~2000
513461423102692284710 ~1999
513465143102693028710 ~1999
513471443102694288710 ~1999
513496331102699266310 ~1999
513512641308107584710 ~2000
513521681410817344910 ~2000
513534083102706816710 ~1999
513566519102713303910 ~1999
5135704672465138241711 ~2002
513572153308143291910 ~2000
513572933719002106310 ~2001
513607463102721492710 ~1999
Exponent Prime Factor Digits Year
513613663513613663110 ~2001
513615359102723071910 ~1999
513643633308186179910 ~2000
513644513308186707910 ~2000
5136619631232788711311 ~2002
513662557308197534310 ~2000
5136655431643729737711 ~2002
513666011102733202310 ~1999
5136665631643733001711 ~2002
513698233308218939910 ~2000
513719051102743810310 ~1999
513719057308231434310 ~2000
513719291102743858310 ~1999
513719603102743920710 ~1999
513767783102753556710 ~1999
513768011102753602310 ~1999
513783551102756710310 ~1999
5137853872568926935111 ~2002
513794753308276851910 ~2000
513797939102759587910 ~1999
513800543102760108710 ~1999
513802391102760478310 ~1999
513812653308287591910 ~2000
513817471924871447910 ~2001
513821999411057599310 ~2001
Exponent Prime Factor Digits Year
513829523102765904710 ~1999
513834719102766943910 ~1999
513849689411079751310 ~2001
513856319102771263910 ~1999
513879659102775931910 ~1999
513884543102776908710 ~1999
513909023102781804710 ~1999
513931871102786374310 ~1999
513948359102789671910 ~1999
513955319411164255310 ~2001
513962651102792530310 ~1999
513969191102793838310 ~1999
5139817193803464720711 ~2003
514006763102801352710 ~1999
514020443102804088710 ~1999
514037159102807431910 ~1999
514038839102807767910 ~1999
514043513308426107910 ~2000
514056071102811214310 ~1999
514057319102811463910 ~1999
514089743102817948710 ~1999
514089817308453890310 ~2000
514110203102822040710 ~1999
514121963102824392710 ~1999
514125167411300133710 ~2001
Exponent Prime Factor Digits Year
514125863102825172710 ~1999
514182191102836438310 ~1999
514190843102838168710 ~1999
514192391102838478310 ~1999
514192571102838514310 ~1999
514194517308516710310 ~2000
514198631102839726310 ~1999
514208291102841658310 ~1999
514225279925605502310 ~2001
514232483102846496710 ~1999
514255921308553552710 ~2000
514262351102852470310 ~1999
514266413308559847910 ~2000
514292879102858575910 ~1999
514295219102859043910 ~1999
514339877411471901710 ~2001
514357439102871487910 ~1999
514404083102880816710 ~1999
514433723102886744710 ~1999
514434131102886826310 ~1999
514457843102891568710 ~1999
514468217308680930310 ~2000
514471457308682874310 ~2000
514486859102897371910 ~1999
514531763102906352710 ~1999
3276
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25-07-08