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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.
Exponent Prime Factor Digits Year
230067471840539779 ~1990
23006783460135678 ~1988
230067912300679119 ~1990
23007059460141198 ~1988
23007203460144078 ~1988
23007311460146238 ~1988
23007899460157998 ~1988
23008019460160398 ~1988
23008619460172398 ~1988
23008703460174078 ~1988
230088192300881919 ~1990
23008883460177678 ~1988
23009411460188238 ~1988
23009699460193998 ~1988
23009771460195438 ~1988
23009879460197598 ~1988
23010551460211038 ~1988
23010563460211278 ~1988
23010863460217278 ~1988
23011139460222798 ~1988
23011211460224238 ~1988
23011283460225678 ~1988
23011559460231198 ~1988
23011883460237678 ~1988
23011979460239598 ~1988
Exponent Prime Factor Digits Year
23012963460259278 ~1988
23013251460265038 ~1988
23013383460267678 ~1988
23013983460279678 ~1988
23014451460289038 ~1988
23014619460292398 ~1988
23014811460296238 ~1988
230150811380904879 ~1990
230150816904524319
23015123460302478 ~1988
23015243460304878 ~1988
230152435523658339
23015579460311598 ~1988
23016599460331998 ~1988
230166111841328899 ~1990
23016743460334878 ~1988
23017223460344478 ~1988
23017751460355038 ~1988
23017919460358398 ~1988
23017931460358638 ~1988
230181371381088239 ~1990
23018819460376398 ~1988
23019299460385998 ~1988
230194131381164799 ~1990
230194133222717839
Exponent Prime Factor Digits Year
23020883460417678 ~1988
230209394143769039 ~1991
230211773222964799 ~1991
23021291460425838 ~1988
230214411381286479 ~1990
23021639460432798 ~1988
23021759460435198 ~1988
230217771841742179 ~1990
23021783460435678 ~1988
230220194143963439 ~1991
23022383460447678 ~1988
230225515985863279 ~1991
23022731460454638 ~1988
23023271460465438 ~1988
23023439460468798 ~1988
23023691460473838 ~1988
23023739460474798 ~1988
23023811460476238 ~1988
23024063460481278 ~1988
230241192302411919 ~1990
23024159460483198 ~1988
23024951460499038 ~1988
230255511842044099 ~1990
23025659460513198 ~1988
23025791460515838 ~1988
Exponent Prime Factor Digits Year
23026163460523278 ~1988
23026259460525198 ~1988
23026403460528078 ~1988
23026571460531438 ~1988
23026799460535998 ~1988
230270035526480739 ~1991
23027159460543198 ~1988
230272731381636399 ~1990
23027351460547038 ~1988
230276592302765919 ~1990
23027663460553278 ~1988
23028311460566238 ~1988
23028683460573678 ~1988
230292971381757839 ~1990
23029511460590238 ~1988
230300112303001119 ~1990
230308731381852399 ~1990
23031779460635598 ~1988
230317933685086899 ~1991
23032991460659838 ~1988
230330775527938499 ~1991
230331594145968639 ~1991
23033711460674238 ~1988
23033723460674478 ~1988
230338733224742239 ~1991
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