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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
45769391830775619 ~1986
457699191539837 ~1983
4576997274619838 ~1984
457712391542477 ~1983
45771292837819999 ~1987
4577141366171298 ~1984
457723191544637 ~1983
4577249640814878 ~1985
4577297640821598 ~1985
4577371457737118 ~1985
4577431732388978 ~1985
4577647823976478 ~1985
45776931098646339 ~1986
4577717274663038 ~1984
4577717366217378
4577953274677198 ~1984
457817991563597 ~1983
4578361274701678 ~1984
4578439457843918 ~1985
457844391568877 ~1983
457850391570077 ~1983
457861191572237 ~1983
45788693571517839 ~1987
457892391578477 ~1983
45789712197906099 ~1986
Exp. Prime Factor Digits Year
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
458143191628637 ~1983
4581581274894878 ~1984
4581637274898238 ~1984
4581677274900638 ~1984
458171991634397 ~1983
4582337274940238 ~1984
4582421366593698 ~1984
458246391649277 ~1983
45825171374755119 ~1986
45826315590809839 ~1987
Exp. Prime Factor Digits Year
458285991657197 ~1983
4582889366631138 ~1984
4583057366644578 ~1984
4583057641627998
458306391661277 ~1983
4583309366664738 ~1984
458347191669437 ~1983
4583801275028078 ~1984
45838013667040819
4583861275031678 ~1984
4583941275036478 ~1984
45839412200291699
458417991683597 ~1983
4584179366734338
4584247458424718 ~1985
458432391686477 ~1983
4584389366751138 ~1984
45843891742067839
4584403458440318 ~1985
4584527825214878 ~1985
45846911833876419 ~1986
45847734676468479 ~1987
4584823202649176710 ~1989
4584901275094078 ~1984
4584913275094798 ~1984
Exp. Prime Factor Digits Year
458504391700877 ~1983
45852491375574719 ~1986
45853311192186079 ~1986
4585387825369678 ~1985
4585439366835138 ~1984
4585459458545918 ~1985
458546391709277 ~1983
4585697366855778 ~1984
4585769642007678 ~1985
4585793642011038 ~1985
45858111192310879 ~1986
4585831458583118 ~1985
4585877275152638 ~1984
458594391718877 ~1983
458599191719837 ~1983
4586297275177838 ~1984
458633991726797 ~1983
4586347825542478 ~1985
4586831366946498 ~1984
4586987825657678 ~1985
4587019458701918 ~1985
4587137642199198 ~1985
4587211458721118 ~1985
4587269366981538 ~1984
458743191748637 ~1983
647
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25-06-01