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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
305101161020237 ~1982
3051173427164238 ~1984
3051259549226638 ~1984
3051707793443838 ~1984
3051833427256638 ~1984
3052037244162978 ~1983
305207961041597 ~1982
305213961042797 ~1982
3052267488362738 ~1984
3052297183137838 ~1983
305240361048077 ~1982
30524472686153379 ~1986
3052451244196098 ~1983
305249961049997 ~1982
305263161052637 ~1982
3052729732654978 ~1984
3053009427421278 ~1984
3053119305311918 ~1983
3053231793840078 ~1984
3053291244263298 ~1983
3053317915995118 ~1984
305333961066797 ~1982
305378361075677 ~1982
3053789244303138 ~1983
3053789732909378
Exp. Prime Factor Digits Year
3053951244316098 ~1983
3053959305395918 ~1983
3053993916197918 ~1984
3054047549728478 ~1984
3054437244354978 ~1983
30544371160686079
3054553183273198 ~1983
3054637183278238 ~1983
305489961097997 ~1982
305504361100877 ~1982
30551771466484979 ~1985
305525961105197 ~1982
3055363733287138 ~1984
3055457427763998 ~1984
3055477488876338 ~1984
305558361111677 ~1982
3055649244451938 ~1983
305591961118397 ~1982
3055961183357678 ~1983
305605161121037 ~1982
3056051244484098
3056213427869838 ~1984
3056213733491138
3056231244498498 ~1983
3056327733518498 ~1984
Exp. Prime Factor Digits Year
3056489244519138 ~1983
305651961130397 ~1982
3056561244524898 ~1983
305663961132797 ~1982
3056813183408798 ~1983
3056887489101938 ~1984
3056897183413838 ~1983
30569813118120639 ~1986
3057013489122098 ~1984
3057113427995838 ~1984
30573771161803279 ~1985
3057611244608898 ~1983
305783961156797 ~1982
3057913183474798 ~1983
305795961159197 ~1982
3058037183482238 ~1983
305834361166877 ~1982
3058397183503838 ~1983
305840361168077 ~1982
3058579550544238 ~1984
3058859550594638 ~1984
305887161177437 ~1982
30588732202388579 ~1985
3058877183532638 ~1983
305888361177677 ~1982
Exp. Prime Factor Digits Year
3059029672986398 ~1984
3059261183555678 ~1983
30593411468483699 ~1985
3059753183585198 ~1983
3059921183595278 ~1983
3059921244793698
3060047244803778 ~1983
3060097183605838 ~1983
3060097918029118
3060107244808578 ~1983
3060139306013918 ~1983
3060163306016318 ~1983
30605115141658499 ~1986
3060569734536578 ~1984
3060821244865698 ~1983
306083961216797 ~1982
3060853183651198 ~1983
306092361218477 ~1982
3060923734621538
30609311285591039 ~1985
3060947550970478 ~1984
3061027306102718 ~1983
3061067550992078 ~1984
30610991040773679 ~1985
3061141183668478 ~1983
501
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25-04-13