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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
2594237778271118
2594303622632738 ~1984
2594611259461118 ~1983
259475951895197 ~1981
2594881155692878 ~1982
2594939207595138 ~1983
259502351900477 ~1981
2595031259503118 ~1983
25950973114116419 ~1985
2595517415282738 ~1983
259568351913677 ~1981
2595787415325938 ~1983
25958711505605199 ~1985
259589951917997 ~1981
2595937623024898 ~1984
2596001155760078 ~1982
259609151921837 ~1981
2596091674983678
259643951928797 ~1981
2596501155790078 ~1982
2596579259657918 ~1983
2596679207734338 ~1983
2596681155800878 ~1982
259687151937437 ~1981
259688351937677 ~1981
Exp. Prime Factor Digits Year
25969691817878319 ~1985
259699151939837 ~1981
2597093363593038 ~1983
259709951941997 ~1981
259727951945597 ~1981
2597453155847198 ~1982
2597467259746718 ~1983
2597591207807298 ~1983
2597627207810178 ~1983
259766351953277 ~1981
2597681831257938 ~1984
2597761155865678 ~1982
2597773623465538 ~1984
2597911467623998 ~1983
25979115871278879
25981197534545119 ~1986
2598121571586638 ~1984
2598509623642178 ~1984
2598571467742798 ~1983
25987211039488419 ~1984
259873151974637 ~1981
2598811415809778 ~1983
2598859259885918 ~1983
259897151979437 ~1981
259898351979677 ~1981
Exp. Prime Factor Digits Year
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
2600837364117198 ~1983
2600947416151538 ~1983
260108352021677 ~1981
260123952024797 ~1981
Exp. Prime Factor Digits Year
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
2603647260364718 ~1983
2603681208294498 ~1983
260375952075197 ~1981
2603911468703998 ~1983
464
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25-12-14