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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
45687133289473379 ~1987
4568821274129278 ~1984
4568957365516578 ~1984
456902391380477 ~1983
4569043456904318 ~1985
4569337712816572110 ~1990
456941991388397 ~1983
45695531005301679 ~1986
45695691096696579 ~1986
4569577274174638 ~1984
456968391393677 ~1983
4569797203812946310 ~1989
4570207457020718 ~1985
4570253274215198 ~1984
457025991405197 ~1983
4570781274246878 ~1984
45712571371377119 ~1986
45717314114557919 ~1987
457178391435677 ~1983
457199991439997 ~1983
4572551365804098 ~1984
4572679823082238 ~1985
45727212103451679 ~1986
45727619145522019 ~1988
4572917274375038 ~1984
Exp. Prime Factor Digits Year
45729171097500099
4573273274396398 ~1984
4573333274399998 ~1984
457345191469037 ~1983
4573637274418238 ~1984
457376391475277 ~1983
4573769365901538 ~1984
4573783457378318 ~1985
4573787365902978 ~1984
4573843457384318 ~1985
4574077274444638 ~1984
4574233274453998 ~1984
4574237274454238 ~1984
4574261113441672910 ~1988
4574441274466478 ~1984
457454391490877 ~1983
45748031921417279 ~1986
4574807823465278 ~1985
457487991497597 ~1983
457489191497837 ~1983
45750791921533199 ~1986
4575167366013378 ~1984
4575271457527118 ~1985
457550391510077 ~1983
4575517274531038 ~1984
Exp. Prime Factor Digits Year
457580391516077 ~1983
45758692196417139 ~1986
45758693294625699
457591191518237 ~1983
457597191519437 ~1983
457603191520637 ~1983
45761772196564979 ~1986
4576409366112738 ~1984
45764413295037539 ~1987
4576651823797198 ~1985
4576753732280498 ~1985
457676391535277 ~1983
457699191539837 ~1983
4576997274619838 ~1984
457712391542477 ~1983
45771292837819999 ~1987
4577141366171298 ~1984
457723191544637 ~1983
4577297640821598 ~1985
4577371457737118 ~1985
4577431732388978 ~1985
4577647823976478 ~1985
45776931098646339 ~1986
4577717274663038 ~1984
4577717366217378
Exp. Prime Factor Digits Year
4577953274677198 ~1984
457817991563597 ~1983
4578361274701678 ~1984
4578439457843918 ~1985
457844391568877 ~1983
457850391570077 ~1983
457861191572237 ~1983
45788693571517839 ~1987
457892391578477 ~1983
45789712197906099 ~1986
4579151366332098 ~1984
4579381274762878 ~1984
4579529641134078 ~1985
457955991591197 ~1983
4579621274777278 ~1984
4579657274779438 ~1984
4579711824347998 ~1985
4579859366388738 ~1984
4580039366403138 ~1984
4580131824423598 ~1985
458036391607277 ~1983
4580413274824798 ~1984
458090391618077 ~1983
45809413298277539 ~1987
45811131099467139 ~1986
642
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25-04-13