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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
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
2997067719296098 ~1984
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
2998337719600898 ~1984
299840359968077 ~1982
2998531539735598 ~1984
29985491199419619 ~1985
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
Exp. Prime Factor Digits Year
3000133720031938 ~1984
300025160005037 ~1982
3000251540045198
3000289720069378 ~1984
3000463300046318 ~1983
3000469720112578 ~1984
3000617180037038 ~1983
300067160013437 ~1982
3000983780255598 ~1984
3001217420170398 ~1984
3001253420175438 ~1984
3001499240119938 ~1983
30016331200653219 ~1985
3001681480268978 ~1984
30017691140672239 ~1985
300181160036237 ~1982
300199160039837 ~1982
300200360040077 ~1982
3002161480345778 ~1984
300223160044637 ~1982
3002269720544578 ~1984
300266360053277 ~1982
3002743480438898 ~1984
3002773180166398 ~1983
300284360056877 ~1982
Exp. Prime Factor Digits Year
3002917900875118 ~1984
3002981180178878 ~1983
300319160063837 ~1982
300325160065037 ~1982
30033311201332419 ~1985
30035713363999539 ~1986
300377960075597 ~1982
3003779240302338
3003971240317698 ~1983
30039711441906099
3004013180240798 ~1983
3004051300405118 ~1983
3004063300406318 ~1983
30041231201649219 ~1985
3004229240338338 ~1983
300434360086877 ~1982
3004361180261678 ~1983
3004493180269598 ~1983
3004537180272238 ~1983
3004553180273198 ~1983
300458360091677 ~1982
3004591480734578 ~1984
3004787240382978 ~1983
3004957180297438 ~1983
3005033721207938 ~1984
514
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26-03-08