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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
2598811415809778 ~1983
2598859259885918 ~1983
259897151979437 ~1981
259898351979677 ~1981
25990391507442639 ~1985
2599109207928738 ~1983
2599237155954238 ~1982
2599321155959278 ~1982
25993494522867279 ~1986
259940351988077 ~1981
2599451207956098 ~1983
259955951991197 ~1981
25996131403791039 ~1985
2599673623921538 ~1984
2599693155981598 ~1982
259973951994797 ~1981
2599859207988738 ~1983
259999151999837 ~1981
2600011468001998 ~1983
260005152001037 ~1981
2600209624050178 ~1984
2600231208018498 ~1983
2600393364055038 ~1983
260051952010397 ~1981
2600687208054978 ~1983
Exp. Prime Factor Digits Year
2600837364117198 ~1983
2600947416151538 ~1983
260108352021677 ~1981
260123952024797 ~1981
2601259468226638 ~1983
2601281156076878 ~1982
260138352027677 ~1981
26015391300769519 ~1985
2601607260160718 ~1983
2601761208140898 ~1983
26017631665128339 ~1985
2601827208146178 ~1983
2602043676531198 ~1984
26020431301021519
26021211613315039 ~1985
260216352043277 ~1981
2602177156130638 ~1982
2602679208214338 ~1983
2602771260277118 ~1983
2602793156167598 ~1982
2602849624683778 ~1984
260306352061277 ~1981
2603233156193998 ~1982
260348352069677 ~1981
2603483624835938
Exp. Prime Factor Digits Year
2603647260364718 ~1983
2603681208294498 ~1983
260375952075197 ~1981
2603911468703998 ~1983
2603927468706878 ~1983
260419152083837 ~1981
2604307468775278 ~1983
2604509208360738 ~1983
2604509781352718
2604601416736178 ~1983
2604671833494738 ~1984
2604733156283998 ~1982
26047371250273779 ~1984
260477952095597 ~1981
260483952096797 ~1981
2604907260490718 ~1983
2604907468883278
260501952100397 ~1981
260510352102077 ~1981
2605139208411138 ~1983
2605139625233378
260525952105197 ~1981
2605349364748878 ~1983
26054831094302879 ~1984
2605637156338238 ~1982
Exp. Prime Factor Digits Year
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 ~1985
2607637156458238 ~1982
26076591095216799 ~1984
2607721156463278 ~1982
2607733782319918 ~1984
2607791208623298 ~1983
2607863678044398 ~1984
2607863834516178
2608159260815918 ~1983
26081591669221779
2608237417317938 ~1983
260828352165677 ~1981
473
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26-07-05