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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
426539985307997 ~1983
4265561255933678 ~1984
426584385316877 ~1983
4265881682540978 ~1985
426593985318797 ~1983
4266029341282338 ~1984
4266377341310178 ~1984
4266487767967678 ~1985
426655185331037 ~1983
4266551341324098
4266599341327938 ~1984
4266629597328078 ~1985
426707985341597 ~1983
4267349597428878 ~1985
426746385349277 ~1983
4267531682804978 ~1985
4267573256054398 ~1984
4267661256059678 ~1984
42678474097133139 ~1987
426785985357197 ~1983
4268107682897138 ~1985
426817185363437 ~1983
4268477256108638 ~1984
4268507341480578 ~1984
4268557256113438 ~1984
Exp. Prime Factor Digits Year
426865185373037 ~1983
4268743426874318 ~1984
42688137427734639 ~1988
42688671109905439 ~1985
426907185381437 ~1983
4269101256146078 ~1984
4269157256149438 ~1984
426938385387677 ~1983
42696791024722979 ~1985
4269899341591938 ~1984
427031985406397 ~1983
42703191793533999
4270411427041118 ~1984
427049985409997 ~1983
4270543427054318 ~1984
427075185415037 ~1983
42707512049960499
4270817256249038 ~1984
4270907341672578 ~1984
4271081256264878 ~1984
4271177341694178 ~1984
42713572050251379 ~1986
42713631025127139 ~1985
4271417341713378 ~1984
42715693331823839 ~1987
Exp. Prime Factor Digits Year
427184385436877 ~1983
42721871708874819 ~1986
4272221256333278 ~1984
427226385445277 ~1983
42723431708937219 ~1986
427241985448397 ~1983
4272481256348878 ~1984
427265985453197 ~1983
427273185454637 ~1983
427274385454877 ~1983
427334385466877 ~1983
4273391341871298 ~1984
4273397256403838 ~1984
42734836923042479 ~1987
42738315897886799 ~1987
4273937341914978 ~1984
4274029940286398 ~1985
4274551427455118 ~1984
4274651341972098 ~1984
4274863427486318 ~1984
4274891341991298 ~1984
427495185499037 ~1983
4274983427498318 ~1984
4275059342004738 ~1984
4275251342020098 ~1984
Exp. Prime Factor Digits Year
4275451427545118 ~1984
427561185512237 ~1983
4275617256537038 ~1984
4275989342079138 ~1984
4276157598661998 ~1985
4276541256592478 ~1984
4276541342123298
4276721342137698 ~1984
427676385535277 ~1983
427679985535997 ~1983
42769991026479779 ~1985
42771791454240879 ~1986
4277227427722718 ~1984
4277263684362098 ~1985
427730385546077 ~1983
427757985551597 ~1983
427763985552797 ~1983
427772385554477 ~1983
4277743684438898 ~1985
427795185559037 ~1983
4278041342243298 ~1984
4278089598932478 ~1985
42781331283439919 ~1986
427853985570797 ~1983
4278641256718478 ~1984
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25-04-13