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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
2348897892580878
2348959422812638 ~1983
234902346980477 ~1981
2349071986609838 ~1984
2349337140960238 ~1982
2349419422895438 ~1983
2349569328939678 ~1983
23497311127870899 ~1984
235003147000637 ~1981
2350111235011118 ~1982
2350207799070398 ~1984
2350211188016898 ~1982
23502192632245299 ~1985
2350241705072318 ~1984
23503034371563599 ~1986
2350409705122718 ~1984
2350507940202818 ~1984
235058347011677 ~1981
2350631188050498 ~1982
2350633564151938 ~1983
23507031316393699 ~1984
23510531504673939 ~1984
2351171188093698 ~1982
2351347235134718 ~1982
23514771128708979 ~1984
Exp. Prime Factor Digits Year
2351513141090798 ~1982
235157947031597 ~1981
2351597141095838 ~1982
235160347032077 ~1981
235175947035197 ~1981
2351803376288498 ~1983
2351827799621198 ~1984
2351857141111438 ~1982
23519411834513999 ~1985
235196347039277 ~1981
235201147040237 ~1981
235213147042637 ~1981
2352139423385038 ~1983
2352173564521538 ~1983
235219147043837 ~1981
2352481376396978 ~1983
23524813199374179
2352521188201698 ~1982
23526314187683199 ~1986
2352781705834318 ~1984
235280347056077 ~1981
2353049564731778 ~1983
2353051423549198 ~1983
2353159235315918 ~1982
235339147067837 ~1981
Exp. Prime Factor Digits Year
2353391188271298
2353457564829698 ~1983
2353597376575538 ~1983
2353697141221838 ~1982
235393147078637 ~1981
235394347078877 ~1981
2353987235398718 ~1982
235403947080797 ~1981
2354059235405918 ~1982
235406347081277 ~1981
235435147087037 ~1981
235445947089197 ~1981
23544591177229519
2354489188359138 ~1982
2354503376720498 ~1983
235459147091837 ~1981
2354623988941678 ~1984
235471147094237 ~1981
2354813141288798 ~1982
2354813565155138
2354837329677198 ~1983
2354953141297198 ~1982
2355097632579054310 ~1988
2355121376819378 ~1983
2355337141320238 ~1982
Exp. Prime Factor Digits Year
2355337376853938
2355377565290498 ~1983
23553892590927919 ~1985
2355443565306338 ~1983
235571947114397 ~1981
2355733141343998 ~1982
2355973565433538 ~1983
235604347120877 ~1981
2356043989538078
235610347122077 ~1981
2356141141368478 ~1982
2356169188493538 ~1982
235637947127597 ~1981
2356381141382878 ~1982
235639147127837 ~1981
2356411235641118 ~1983
2356423235642318 ~1983
2356793565630338 ~1983
2356933518525278 ~1983
235694347138877 ~1981
235703947140797 ~1981
2357057565693698 ~1983
2357153707145918 ~1984
235721947144397 ~1981
2357297141437838 ~1982
445
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26-08-30