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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
199697939939597 ~1980
199700339940077 ~1980
199711139942237 ~1980
1997111958613298
1997321159785698 ~1982
1997351639152338 ~1983
1997407679118398 ~1983
19975431797788719 ~1984
199759139951837 ~1980
1997707199770718 ~1982
199777139955437 ~1980
1997813119868798 ~1981
199784339956877 ~1980
1997899199789918 ~1982
1997999159839938 ~1982
1998077119884638 ~1981
1998077279730798
1998133119887998 ~1981
1998319199831918 ~1982
1998329479598978 ~1983
199837139967437 ~1980
1998541119912478 ~1981
1998977159918178 ~1982
1999007159920578 ~1982
1999099479783778 ~1983
Exp. Prime Factor Digits Year
1999211159936898 ~1982
1999339359881038 ~1983
1999363319898098 ~1982
199949939989997 ~1980
1999537319925938 ~1982
199961939992397 ~1980
199969139993837 ~1980
1999721759893998 ~1983
199979939995997 ~1980
1999853279979438 ~1982
199985939997197 ~1980
1999867319978738 ~1982
1999979159998338 ~1982
20000031600002419 ~1984
200003940000797 ~1980
2000177280024798 ~1982
2000269480064578 ~1983
2000573640183378 ~1983
20006533801240719 ~1985
200069940013997 ~1980
2000813120048798 ~1981
2000813480195138
200090340018077 ~1980
2000927160074178 ~1982
2001037120062238 ~1981
Exp. Prime Factor Digits Year
20010671921024339 ~1984
2001199960575538 ~1984
2001281600384318 ~1983
200137140027437 ~1980
2001371360246798
2001407160112578 ~1982
200153940030797 ~1980
2001691200169118 ~1982
2001787200178718 ~1982
2001793120107598 ~1981
2001799800719618 ~1983
2002001160160098 ~1982
2002361600708318 ~1983
2002417120145038 ~1981
2002531200253118 ~1982
2002613280365838 ~1982
2002661120159678 ~1981
200288340057677 ~1980
2002907360523278 ~1983
200291940058397 ~1980
2002919160233538
2002997160239778 ~1982
200305140061037 ~1980
2003083200308318 ~1982
200315940063197 ~1980
Exp. Prime Factor Digits Year
2003201160256098 ~1982
20032371121812739 ~1984
2003387480812898 ~1983
200341140068237 ~1980
200359140071837 ~1980
200372340074477 ~1980
2003767200376718 ~1982
2003927160314178 ~1982
200399940079997 ~1980
2003999160319938
2003999641279698
2004001120240078 ~1981
20040176533095439 ~1986
2004029601208718 ~1983
2004137120248238 ~1981
2004377160350178 ~1982
2004539481089378 ~1983
2004731521230078 ~1983
2004787200478718 ~1982
200483940096797 ~1980
200491140098237 ~1980
2004991320798578 ~1982
2004991842096238
200531940106397 ~1980
200533140106637 ~1980
382
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25-04-06