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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
2592673155560398 ~1982
2592719207417538 ~1983
25927313163131839 ~1985
259285151857037 ~1981
2593051414888178 ~1983
2593091829789138 ~1984
259327151865437 ~1981
2593277207462178 ~1983
259337951867597 ~1981
2593397363075598 ~1983
2593421155605278 ~1982
259343951868797 ~1981
2593651259365118 ~1983
25936512749270079
259369151873837 ~1981
259375151875037 ~1981
2593769207501538 ~1983
2593777622506498 ~1984
25938973268310239 ~1985
2594023259402318 ~1983
2594099143713084710 ~1987
25942091400872879 ~1985
2594237155654238 ~1982
2594237778271118
2594303622632738 ~1984
Exp. Prime Factor Digits Year
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
259643951928797 ~1981
2596501155790078 ~1982
2596579259657918 ~1983
2596679207734338 ~1983
2596681155800878 ~1982
259687151937437 ~1981
259688351937677 ~1981
25969691817878319 ~1985
259699151939837 ~1981
2597093363593038 ~1983
Exp. Prime Factor Digits Year
259709951941997 ~1981
259727951945597 ~1981
2597453155847198 ~1982
2597467259746718 ~1983
2597591207807298 ~1983
2597627207810178 ~1983
259766351953277 ~1981
2597681831257938 ~1984
2597761155865678 ~1982
2597773623465538 ~1984
2597911467623998 ~1983
25981197534545119 ~1986
2598121571586638 ~1984
2598509623642178 ~1984
2598571467742798 ~1983
25987211039488419 ~1984
259873151974637 ~1981
2598811415809778 ~1983
2598859259885918 ~1983
259897151979437 ~1981
259898351979677 ~1981
25990391507442639 ~1985
2599109207928738 ~1983
2599237155954238 ~1982
2599321155959278 ~1982
Exp. Prime Factor Digits Year
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
2601259468226638 ~1983
2601281156076878 ~1982
260138352027677 ~1981
26015391300769519 ~1984
452
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25-04-13