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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
184628336925677 ~1980
1846357110781438 ~1981
1846769554030718 ~1983
1846843184684318 ~1982
1846921738768418 ~1983
1847117110827038 ~1981
1847129147770338 ~1981
1847221554166318 ~1983
1847281110836878 ~1981
1847309147784738 ~1981
1847359184735918 ~1982
1847471147797698 ~1981
1847513110850798 ~1981
184759136951837 ~1980
18476091441135039 ~1984
1847687147814978 ~1981
1847779184777918 ~1982
1848029147842338 ~1981
1848107147848578 ~1981
1848281147862498 ~1981
1848439184843918 ~1982
184855136971037 ~1980
1848697110921838 ~1981
1848907295825138 ~1982
18489191331221699 ~1984
Exp. Prime Factor Digits Year
184892336978477 ~1980
1848997110939838 ~1981
184909136981837 ~1980
1849097110945838 ~1981
1849171295867378 ~1982
1849207739682818 ~1983
1849291332872398 ~1982
18493492034283919 ~1984
184951136990237 ~1980
184964336992877 ~1980
1849733554919918 ~1983
1849847480960238 ~1983
1849849443963778 ~1983
1849921110995278 ~1981
1850041407009038 ~1982
185042337008477 ~1980
1850447148035778 ~1981
1850503629171038 ~1983
1850633444151938 ~1983
1850633592202578
185102337020477 ~1980
1851071148085698 ~1981
185149137029837 ~1980
1851541851708878 ~1983
185161137032237 ~1980
Exp. Prime Factor Digits Year
1851701111102078 ~1981
185171937034397 ~1980
1851749148139938 ~1981
185185137037037 ~1980
1851851148148098
1851851333333198
1851973111118398 ~1981
1852057555617118 ~1983
1852261111135678 ~1981
185227137045437 ~1980
1852327333418878 ~1982
1852393444574338 ~1983
1852469259345678 ~1982
1852523592807378 ~1983
1852597111155838 ~1981
1852649555794718 ~1983
1852843185284318 ~1982
185285937057197 ~1980
1853183481827598 ~1983
1853281111196878 ~1981
1853333444799938 ~1983
185333937066797 ~1980
1853671296587378 ~1982
1853801111228078 ~1981
1853977296636338 ~1982
Exp. Prime Factor Digits Year
18539771742738399
1854019630366478 ~1983
1854373111262398 ~1981
1854491148359298 ~1981
185465937093197 ~1980
1854689556406718 ~1983
1854701556410318 ~1983
1854763185476318 ~1982
1854779445146978 ~1983
1854781111286878 ~1981
185485137097037 ~1980
1854859445166178 ~1983
185497137099437 ~1980
1855031148402498 ~1981
1855039445209378 ~1983
1855169259723678 ~1982
1855171185517118 ~1982
1855267296842738 ~1982
185552337110477 ~1980
1855577148446178 ~1981
1855687334023678 ~1982
1855723296915698 ~1982
1855757259805998 ~1982
1855769259807678 ~1982
185582337116477 ~1980
364
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25-05-04