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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
457597191519437 ~1983
457603191520637 ~1983
45761772196564979 ~1986
4576409366112738 ~1985
45764413295037539 ~1987
4576651823797198 ~1985
4576753732280498 ~1985
457676391535277 ~1983
4576879823838238 ~1985
45769391830775619 ~1986
457699191539837 ~1983
4576997274619838 ~1984
45769972196958579
4577077732332338 ~1985
457712391542477 ~1983
45771292837819999 ~1987
4577141366171298 ~1985
457723191544637 ~1983
4577249640814878 ~1985
4577297640821598 ~1985
4577371457737118 ~1985
4577431732388978 ~1985
4577647823976478 ~1985
45776931098646339 ~1986
4577717274663038 ~1984
Exp. Prime Factor Digits Year
4577717366217378
4577953274677198 ~1984
457817991563597 ~1983
4578361274701678 ~1984
4578439457843918 ~1985
457844391568877 ~1983
457850391570077 ~1983
4578517732562738 ~1985
457861191572237 ~1983
45788693571517839 ~1987
457892391578477 ~1983
45789712197906099 ~1986
4578989321445027910 ~1989
45790211373706319 ~1986
4579067824232078 ~1985
4579151366332098 ~1985
4579381274762878 ~1984
4579387824289678 ~1985
4579529641134078 ~1985
457955991591197 ~1983
4579621274777278 ~1984
4579657274779438 ~1984
4579711824347998 ~1985
4579859366388738 ~1985
4579871824376798 ~1985
Exp. Prime Factor Digits Year
45799614671560239 ~1987
45800111832004419 ~1986
4580039366403138 ~1985
4580131824423598 ~1985
45802991832119619 ~1986
458036391607277 ~1983
4580413274824798 ~1984
458090391618077 ~1983
45809413298277539 ~1987
45811131099467139 ~1986
4581139824605038 ~1985
4581277733004338 ~1985
458143191628637 ~1983
4581581274894878 ~1984
4581637274898238 ~1984
4581677274900638 ~1984
458171991634397 ~1983
4582337274940238 ~1984
4582421366593698 ~1985
458246391649277 ~1983
45825171374755119 ~1986
45826315590809839 ~1987
458285991657197 ~1983
4582889366631138 ~1985
4583057366644578 ~1985
Exp. Prime Factor Digits Year
4583057641627998
458306391661277 ~1983
4583309366664738 ~1985
458347191669437 ~1983
4583771825078798 ~1985
4583801275028078 ~1984
45838013667040819
4583861275031678 ~1984
4583941275036478 ~1984
45839412200291699
458417991683597 ~1983
4584179366734338
4584247458424718 ~1985
458432391686477 ~1983
4584389366751138 ~1985
45843891742067839
4584403458440318 ~1985
4584527825214878 ~1985
45846911833876419 ~1986
45847734676468479 ~1987
4584787825261678 ~1985
4584823202649176710 ~1989
4584901275094078 ~1984
4584913275094798 ~1984
458504391700877 ~1983
681
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26-08-30