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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
21612971037422579 ~1984
216133143226637 ~1980
216134343226877 ~1980
21614091556214499 ~1984
2161613691716178 ~1983
216175143235037 ~1980
216182343236477 ~1980
216187143237437 ~1980
216200343240077 ~1980
216206343241277 ~1980
216218343243677 ~1980
2162353129741198 ~1982
21623871600166399 ~1984
216257943251597 ~1980
2162597302763598 ~1983
216260343252077 ~1980
216265143253037 ~1980
216284343256877 ~1980
21628691536502137711 ~1989
216287943257597 ~1980
21628791557272899
2162947216294718 ~1982
2163107389359278 ~1983
2163113692196178 ~1983
2163223346115698 ~1983
Exp. Prime Factor Digits Year
216325143265037 ~1980
2163307519193698 ~1983
216343143268637 ~1980
2163467173077378 ~1982
21634672076928339
216350343270077 ~1980
2163503519240738
2163613129816798 ~1982
2163883908830878 ~1984
216391143278237 ~1980
2163919389505438 ~1983
216397143279437 ~1980
2163979216397918 ~1982
2164177519402498 ~1983
2164417129865038 ~1982
2164433129865998 ~1982
2164441129866478 ~1982
2164453129867198 ~1982
216451143290237 ~1980
216458343291677 ~1980
216461943292397 ~1980
2164739173179138 ~1982
2164787173182978 ~1982
2164807519553698 ~1983
2164979173198338 ~1982
Exp. Prime Factor Digits Year
216506343301277 ~1980
2165081173206498 ~1982
2165201173216098 ~1982
2165237129914238 ~1982
216529143305837 ~1980
2165393303155038 ~1983
216554343310877 ~1980
2165593476430478 ~1983
2165617129937038 ~1982
21657414461426479 ~1985
216577143315437 ~1980
2165843519802338 ~1983
216602343320477 ~1980
216611943322397 ~1980
2166127216612718 ~1982
2166221173297698 ~1982
2166511346641778 ~1983
21665332253194339 ~1985
2166919390045438 ~1983
216701943340397 ~1980
2167063520095138 ~1983
2167393130043598 ~1982
2167433130045998 ~1982
2167573130054398 ~1982
21675738973752239
Exp. Prime Factor Digits Year
2167609260113080110 ~1987
216770343354077 ~1980
21677031604100239
2167741130064478 ~1982
216788343357677 ~1980
2167889303504478 ~1983
2167889520293378
216805143361037 ~1980
216821943364397 ~1980
2168239216823918 ~1982
216829143365837 ~1980
2168303910687278 ~1984
216836343367277 ~1980
216839943367997 ~1980
21684292255166179 ~1985
2168437130106238 ~1982
2168567390342078 ~1983
21685671040912179
2168581130114878 ~1982
2168587520460898 ~1983
21685991561391299 ~1984
21686511040952499 ~1984
2168659216865918 ~1982
216871143374237 ~1980
2168801173504098 ~1982
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