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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
2586293155177598 ~1982
2586517155191038 ~1982
2586569620776578 ~1984
2586581206926498 ~1983
258665951733197 ~1981
2586709620810178 ~1984
258671951734397 ~1981
2586721155203278 ~1982
2586791465622398 ~1983
2586821155209278 ~1982
2586841155210478 ~1982
2586911206952898 ~1983
2586953155217198 ~1982
2587007465661278 ~1983
258703151740637 ~1981
2587289206983138 ~1983
2587337206986978 ~1983
258749951749997 ~1981
2587499206999938
2587547621011298 ~1984
2587801155268078 ~1982
25878471707979039 ~1985
2587861569329438 ~1984
2587877155272638 ~1982
2587903258790318 ~1983
Exp. Prime Factor Digits Year
258794351758877 ~1981
2587979207038338 ~1983
2588087672902638 ~1984
2588357155301438 ~1982
2588461414153778 ~1983
2588669776600718 ~1984
2589007258900718 ~1983
258907151781437 ~1981
2589269207141538 ~1983
258955151791037 ~1981
2589557155373438 ~1982
258956351791277 ~1981
25895772019870079 ~1985
258959951791997 ~1981
2589679621522978 ~1984
2589703621528738 ~1984
258997151799437 ~1981
25899712486372179
2589991414398578 ~1983
2590033155401998 ~1982
259007951801597 ~1981
2590079207206338
2590117777035118 ~1984
2590177414428338 ~1983
259022351804477 ~1981
Exp. Prime Factor Digits Year
2590223621653538
25902493108298819 ~1985
2590361155421678 ~1982
25903691243377139 ~1984
2590411259041118 ~1983
2590439207235138 ~1983
259046351809277 ~1981
2590493362669038 ~1983
2590507880772398 ~1984
259069151813837 ~1981
25907693316184339 ~1986
2591131414580978 ~1983
2591471207317698 ~1983
259157951831597 ~1981
2591717207337378 ~1983
25917671036706819 ~1984
259178351835677 ~1981
2591791414686578 ~1983
259184351836877 ~1981
2592053362887438 ~1983
2592089207367138 ~1983
2592133570269278 ~1984
2592253414760498 ~1983
259231151846237 ~1981
2592413777723918 ~1984
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
467
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26-03-15