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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
2694893161693598 ~1982
2694911485083998 ~1984
2695037161702238 ~1982
269513953902797 ~1981
26952371239809039 ~1985
26953518894658319 ~1987
269539153907837 ~1981
2695409215632738 ~1983
2695409646898178
269549953909997 ~1981
269552353910477 ~1981
2695619215649538 ~1983
26956611024351199 ~1984
2695751215660098 ~1983
2695793377411038 ~1983
2695949647027778 ~1984
2695997647039298 ~1984
269600353920077 ~1981
2696093377453038 ~1983
2696107287405006310 ~1988
2696117161767038 ~1982
2696209593165998 ~1984
269627953925597 ~1981
2696279215702338
2696303701038798 ~1984
Exp. Prime Factor Digits Year
2696311485335998 ~1984
2696363701054398 ~1984
2696377161782638 ~1982
269639953927997 ~1981
26964591132512799 ~1984
269648353929677 ~1981
2696581808974318 ~1984
2696609862914898 ~1984
2696641593261038 ~1984
269666353933277 ~1981
2696669215733538 ~1983
2696731431476978 ~1983
2696873161812398 ~1982
2697133431541298 ~1983
2697193161831598 ~1982
2697199485495838 ~1984
2697307647353698 ~1984
269741953948397 ~1981
2697451431592178 ~1983
26975871348793519 ~1985
269759953951997 ~1981
2697637161858238 ~1982
2697689215815138 ~1983
26977273237272419 ~1986
2697973161878398 ~1982
Exp. Prime Factor Digits Year
269798353959677 ~1981
2698027269802718 ~1983
2698193647566338 ~1984
26982171025322479 ~1984
2698253161895198 ~1982
269833153966637 ~1981
2698681161920878 ~1982
2698691485764398 ~1984
2698753593725678 ~1984
26987711079508419 ~1984
269879953975997 ~1981
2698819269881918 ~1983
2698853377839438 ~1983
2698933161935998 ~1982
26989513508636319 ~1986
2698967215917378 ~1983
2699357161961438 ~1982
2699371269937118 ~1983
26994793077406079 ~1986
2699561215964898 ~1983
2699611269961118 ~1983
2699701161982078 ~1982
270014354002877 ~1981
270017954003597 ~1981
2700227216018178 ~1983
Exp. Prime Factor Digits Year
2700319648076578 ~1984
2700367270036718 ~1983
270041954008397 ~1981
2700469594103198 ~1984
2700469810140718
2700497162029838 ~1982
27004971512278339
2700613162036798 ~1982
270062354012477 ~1981
2700727648174498 ~1984
270077954015597 ~1981
27008233889185139 ~1986
2700851702221278 ~1984
2700979486176238 ~1984
2701007702261838 ~1984
270109154021837 ~1981
2701117648268098 ~1984
270115154023037 ~1981
2701201162072078 ~1982
270127154025437 ~1981
2701301864416338 ~1984
270134354026877 ~1981
2701393162083598 ~1982
2701693432270898 ~1983
270173954034797 ~1981
475
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25-12-14