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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
2991367299136718 ~1983
2991421179485278 ~1983
29914311495715519 ~1985
2991433179485998 ~1983
29915112692359919 ~1986
29917331196693219 ~1985
2991853658207678 ~1984
29918532154134179
299189959837997 ~1982
2992037179522238 ~1983
2992117478738738 ~1984
2992207299220718 ~1983
29922191196887619 ~1985
2992259239380738 ~1983
2992259201678256710
2992267299226718 ~1983
2992321179539278 ~1983
2992393179543598 ~1983
2992417478786738 ~1984
2992513179550798 ~1983
2992711299271118 ~1983
2992777179566638 ~1983
2992841179570478 ~1983
299285959857197 ~1982
2992939299293918 ~1983
Exp. Prime Factor Digits Year
2992949239435938 ~1983
2992949419012878
299333959866797 ~1982
299336359867277 ~1982
2993437718424898 ~1984
299357959871597 ~1982
299359159871837 ~1982
299372359874477 ~1982
2993867538896078 ~1984
2993897419145598 ~1984
299395159879037 ~1982
299408359881677 ~1982
2994493179669598 ~1983
299450359890077 ~1982
2994661179679678 ~1983
299473159894637 ~1982
29947572335910479 ~1985
2994857179691438 ~1983
2995271539148798 ~1984
299537959907597 ~1982
2995477179728638 ~1983
2995481179728878 ~1983
2995513179730798 ~1983
2995633179737998 ~1983
2995693659052478 ~1984
Exp. Prime Factor Digits Year
2995709239656738 ~1983
2995709419399278
29960332576588399 ~1986
299609959921997 ~1982
29960992157191299
2996113479378098 ~1984
29961531857614879 ~1985
2996171239693698 ~1983
2996317179779038 ~1983
2996561239724898 ~1983
2996633179797998 ~1983
299666359933277 ~1982
299689159937837 ~1982
2996909419567278 ~1984
2996933179815998 ~1983
2997091539476398 ~1984
2997227239778178 ~1983
299741959948397 ~1982
299744359948877 ~1982
2997451539541198 ~1984
2997637179858238 ~1983
299771959954397 ~1982
2997767239821378 ~1983
2997811479649778 ~1984
2997853179871198 ~1983
Exp. Prime Factor Digits Year
29979773117896099 ~1986
2998031779488078 ~1984
29980811199232419 ~1985
2998097419733598 ~1984
2998111539659998 ~1984
2998133419738638 ~1984
2998313179898798 ~1983
299840359968077 ~1982
2998531539735598 ~1984
299867959973597 ~1982
299882359976477 ~1982
29989371139596079 ~1985
29989991439519539 ~1985
299945959989197 ~1982
2999539299953918 ~1983
2999539719889378
299960359992077 ~1982
299965159993037 ~1982
29996511979769679
299981959996397 ~1982
299983159996637 ~1982
2999863719967138 ~1984
2999873179992398 ~1983
300025160005037 ~1982
3000251540045198
504
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25-09-07