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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
3013531542435598 ~1984
30136431687640099 ~1985
301369160273837 ~1982
3013841241107298 ~1983
301385960277197 ~1982
3013859542494638
3013963301396318 ~1983
30139732411178419 ~1986
3014041663089038 ~1984
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
Exp. Prime Factor Digits Year
301589960317997 ~1982
30161335308394099 ~1986
3016219301621918 ~1983
301652360330477 ~1982
3016747301674718 ~1983
301682360336477 ~1982
30172512655180899 ~1986
301729160345837 ~1982
301730360346077 ~1982
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
Exp. Prime Factor Digits Year
3019109241528738 ~1983
301915160383037 ~1982
3019273181156398 ~1983
3019273483083698
3019337181160238 ~1983
3019349724643778 ~1984
3019351483096178 ~1984
301939160387837 ~1982
301961960392397 ~1982
3019619241569538
3019697181181838 ~1983
3019811241584898 ~1983
301988360397677 ~1982
3019981181198878 ~1983
3020261181215678 ~1983
302035160407037 ~1982
302039960407997 ~1982
302057960411597 ~1982
302065160413037 ~1982
3020683302068318 ~1983
3020789241663138 ~1983
3020971483355378 ~1984
3020993966717778 ~1985
302113160422637 ~1982
3021163725079138 ~1984
Exp. Prime Factor Digits Year
30213771274...694271909526 1998
3021419241713538 ~1983
3021467785581438 ~1984
3021553664741678 ~1984
302171960434397 ~1982
302192360438477 ~1982
302198360439677 ~1982
302209160441837 ~1982
3022661181359678 ~1983
3022681181360878 ~1983
3022801483648178 ~1984
3023057181383438 ~1983
3023057423227998
3023177241854178 ~1983
3023257181395438 ~1983
3023257483721138
3023437181406238 ~1983
3023507241880578 ~1983
3023549241883938 ~1983
30237492177099299 ~1985
302375960475197 ~1982
3023897181433838 ~1983
302408360481677 ~1982
3024101241928098 ~1983
30244491633202479 ~1985
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25-06-29