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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
268799953759997 ~1981
2688053161283198 ~1982
26880733870825139 ~1986
268829953765997 ~1981
2688473161308398 ~1982
26884731935700579
2688559268855918 ~1983
268886353777277 ~1981
2688883430221298 ~1983
2688929215114338 ~1983
26889791075591619 ~1984
268903153780637 ~1981
268910353782077 ~1981
2689187484053678 ~1984
2689189645405378 ~1984
268922353784477 ~1981
268925953785197 ~1981
2689501591690238 ~1984
268952353790477 ~1981
2689619484131438 ~1984
268967953793597 ~1981
268969153793837 ~1981
2689861430377778 ~1983
2689957161397438 ~1982
2690041161402478 ~1982
Exp. Prime Factor Digits Year
269011153802237 ~1981
26903775111716319 ~1986
2690473161428398 ~1982
26904971291438579 ~1985
2690581161434878 ~1982
2690581807174318
2690689591951598 ~1984
269071153814237 ~1981
2690773430523698 ~1983
2690993161459598 ~1982
2691041215283298 ~1983
2691053376747438 ~1983
2691163269116318 ~1983
269119153823837 ~1981
2691191484414398
269123953824797 ~1981
2691329807398718 ~1984
26914014252413599 ~1986
269144353828877 ~1981
2691463430634098 ~1983
269171953834397 ~1981
2691719484509438
269180353836077 ~1981
26920871292201779 ~1985
26925372584835539 ~1985
Exp. Prime Factor Digits Year
269264353852877 ~1981
26927871992662399 ~1985
2692933430869298 ~1983
2692973161578398 ~1982
2693239269323918 ~1983
269327953865597 ~1981
2693393161603598 ~1982
26935033070593439 ~1985
269365153873037 ~1981
2693729215498338 ~1983
26937671562384879 ~1985
269389153877837 ~1981
269390353878077 ~1981
2694001161640078 ~1982
2694017161641038 ~1982
26940173609982799
26940533232863619 ~1986
2694089377172478 ~1983
269420353884077 ~1981
269423953884797 ~1981
269438353887677 ~1981
2694569215565538 ~1983
269474353894877 ~1981
2694893161693598 ~1982
2694911485083998 ~1984
Exp. Prime Factor Digits Year
2695037161702238 ~1982
269513953902797 ~1981
26952371239809039 ~1985
26953518894658319 ~1987
269539153907837 ~1981
2695409215632738 ~1983
269549953909997 ~1981
269552353910477 ~1981
2695619215649538 ~1983
26956611024351199 ~1984
2695751215660098 ~1983
2695793377411038 ~1983
2695997647039298 ~1984
269600353920077 ~1981
2696093377453038 ~1983
2696107287405006310 ~1988
2696117161767038 ~1982
2696209593165998 ~1984
269627953925597 ~1981
2696279215702338
2696303701038798 ~1984
2696311485335998 ~1984
2696363701054398 ~1984
2696377161782638 ~1982
269639953927997 ~1981
462
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25-04-13