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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
260525952105197 ~1981
2605349364748878 ~1983
26054831094302879 ~1984
2605637156338238 ~1982
2605763833844178 ~1984
260587152117437 ~1981
260597952119597 ~1981
2605979208478338
260617152123437 ~1981
260618352123677 ~1981
260660352132077 ~1981
260678352135677 ~1981
2606803886313038 ~1984
260696352139277 ~1981
2607097625703298 ~1984
2607179625722978 ~1984
260735952147197 ~1981
26075871251641779 ~1984
2607637156458238 ~1982
26076591095216799 ~1984
2607721156463278 ~1982
2607791208623298 ~1983
2607863678044398 ~1984
2607863834516178
2608159260815918 ~1983
Exp. Prime Factor Digits Year
26081591669221779
2608237417317938 ~1983
260828352165677 ~1981
2608349208667938 ~1983
26083879025019039 ~1987
2608393417342898 ~1983
2608559208684738 ~1983
260863152172637 ~1981
2608861156531678 ~1982
2608889208711138 ~1983
2608933782679918 ~1984
260894352178877 ~1981
2608993156539598 ~1982
26091473757171699 ~1986
2609209574025998 ~1984
2609231208738498 ~1983
2609309208744738 ~1983
26093117306070819 ~1986
2609353156561198 ~1982
2609357365309998 ~1983
2609371469686798 ~1983
2609587260958718 ~1983
2609587626300898
2609597156575838 ~1982
2609639208771138 ~1983
Exp. Prime Factor Digits Year
2609791125269968110 ~1987
26098995428589939 ~1986
260990352198077 ~1981
2609953156597198 ~1982
26101211044048419 ~1984
2610191678649678 ~1984
2610317626476098 ~1984
261038352207677 ~1981
2610499469889838 ~1983
261053952210797 ~1981
2610761156645678 ~1982
26107871723119439 ~1985
261079152215837 ~1981
2610827208866178 ~1983
2610953156657198 ~1982
26109731827681119 ~1985
2610977156658638 ~1982
2611001208880098 ~1983
2611039626649378 ~1984
2611123261112318 ~1983
261121152224237 ~1981
261140352228077 ~1981
2611403626736738
261143952228797 ~1981
2611457156687438 ~1982
Exp. Prime Factor Digits Year
2611573417851698 ~1983
261164352232877 ~1981
261175152235037 ~1981
2611841208947298 ~1983
2611859626846178 ~1984
2611879261187918 ~1983
261199152239837 ~1981
2612167261216718 ~1983
2612249208979938 ~1983
2612321156739260110 ~1987
2612347470222478 ~1983
2612369626968578 ~1984
2612431470237598 ~1983
2612791418046578 ~1983
261299952259997 ~1981
2613113627147138 ~1984
2613139470365038 ~1983
2613227209058178 ~1983
261332352266477 ~1981
2613361156801678 ~1982
26135391097686399 ~1984
2613769575029198 ~1984
2613839246746401710 ~1988
2613847418215538 ~1983
2613901156834078 ~1982
463
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25-10-26