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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
3009749240779938 ~1983
3009779240782338 ~1983
3009781180586878 ~1983
300995960199197 ~1982
301001960200397 ~1982
30102133792868399 ~1986
3010291301029118 ~1983
30103631023523439 ~1985
3010457180627438 ~1983
3010477481676338 ~1984
301049960209997 ~1982
30105372348218879 ~1985
30105438489731279 ~1987
3010621481699378 ~1984
3010807481729138 ~1984
301081160216237 ~1982
3010939722625378 ~1984
30112092107846319 ~1985
3011251481800178 ~1984
301127960225597 ~1982
3011287542031678 ~1984
3011341440258054310 ~1989
301139960227997 ~1982
3011641662561038 ~1984
301166360233277 ~1982
Exp. Prime Factor Digits Year
3011803301180318 ~1983
3011857180711438 ~1983
30119711445746099 ~1985
30119711987900879
3012019301201918 ~1983
3012041180722478 ~1983
301253960250797 ~1982
3012913662840878 ~1984
30129791446229939 ~1985
3013151241052098 ~1983
30131931687388099 ~1985
30132371386089039 ~1985
301327160265437 ~1982
301333160266637 ~1982
3013427241074178 ~1983
3013531542435598 ~1984
30136431687640099 ~1985
301369160273837 ~1982
3013841241107298 ~1983
301385960277197 ~1982
3013859542494638
30138591446652339
3013963301396318 ~1983
30139732411178419 ~1986
3014041663089038 ~1984
Exp. Prime Factor Digits Year
301405160281037 ~1982
3014159241132738 ~1983
3014261241140898 ~1983
3014387241150978 ~1983
30144611446941299 ~1985
3014497180869838 ~1983
30145373315990719 ~1986
3014647301464718 ~1983
3014911301491118 ~1983
301505960301197 ~1982
3015197241215778 ~1983
3015403301540318 ~1983
3015757180945438 ~1983
3015763482522098 ~1984
301583960316797 ~1982
3015877180952638 ~1983
301589960317997 ~1982
30161335308394099 ~1986
3016219301621918 ~1983
301652360330477 ~1982
3016747301674718 ~1983
301682360336477 ~1982
30172512655180899 ~1986
301729160345837 ~1982
301730360346077 ~1982
Exp. Prime Factor Digits Year
301735160347037 ~1982
301754360350877 ~1982
301760360352077 ~1982
3017717181063038 ~1983
3017717241417378
3017837422497198 ~1984
3017929724302978 ~1984
301799960359997 ~1982
3018091543256398 ~1984
3018137181088238 ~1983
3018181181090878 ~1983
3018479241478338 ~1983
30185171448888179 ~1985
3018733181123998 ~1983
30188031509401519 ~1985
3019019966086098 ~1985
3019109241528738 ~1983
301915160383037 ~1982
3019273181156398 ~1983
3019273483083698
3019337181160238 ~1983
3019349724643778 ~1984
3019351483096178 ~1984
301939160387837 ~1982
30194531932449939 ~1985
518
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26-05-03