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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
842728877505637326310 ~2002
842755223168551044710 ~2001
842763851168552770310 ~2001
842764691168552938310 ~2001
842779319168555863910 ~2001
842819819168563963910 ~2001
8428394773877061594311 ~2004
842874731168574946310 ~2001
842895863168579172710 ~2001
842903111168580622310 ~2001
842903339168580667910 ~2001
842914931168582986310 ~2001
842961059674368847310 ~2002
842965439168593087910 ~2001
842970599168594119910 ~2001
842991491168598298310 ~2001
842993243168598648710 ~2001
843006743168601348710 ~2001
843066971674453576910 ~2002
843073397505844038310 ~2002
843088019168617603910 ~2001
843089651168617930310 ~2001
8430994971180339295911 ~2003
843100991168620198310 ~2001
843104701505862820710 ~2002
Exponent Prime Factor Digits Year
843107663168621532710 ~2001
843138371168627674310 ~2001
843144101674515280910 ~2002
843159671168631934310 ~2001
843189299168637859910 ~2001
843199397505919638310 ~2002
843205747843205747110 ~2002
8432115171180496123911 ~2003
843219869674575895310 ~2002
843230471168646094310 ~2001
843236279168647255910 ~2001
843244799168648959910 ~2001
843258263168651652710 ~2001
843264731168652946310 ~2001
843291863168658372710 ~2001
843340559168668111910 ~2001
8433571271349371403311 ~2003
8433634191518054154311 ~2003
843378359168675671910 ~2001
843398651168679730310 ~2001
843433141506059884710 ~2002
8434382411349501185711 ~2003
843441779168688355910 ~2001
843457691168691538310 ~2001
843468281506080968710 ~2002
Exponent Prime Factor Digits Year
843470783168694156710 ~2001
843514439168702887910 ~2001
843555599168711119910 ~2001
843637139168727427910 ~2001
843637397674909917710 ~2002
843651491168730298310 ~2001
843656711168731342310 ~2001
8436737571181143259911 ~2003
843677771168735554310 ~2001
843697691168739538310 ~2001
843703397674962717710 ~2002
843704639168740927910 ~2001
843716339168743267910 ~2001
843717053506230231910 ~2002
8437474615231234258311 ~2004
843813851168762770310 ~2001
843823283168764656710 ~2001
843834599168766919910 ~2001
843836291168767258310 ~2001
843855203168771040710 ~2001
843872999168774599910 ~2001
8438875814050660388911 ~2004
843919663843919663110 ~2002
843929171168785834310 ~2001
843938759168787751910 ~2001
Exponent Prime Factor Digits Year
843940739168788147910 ~2001
843947939675158351310 ~2002
843951551168790310310 ~2001
843967199168793439910 ~2001
843989651168797930310 ~2001
844017143168803428710 ~2001
844018379168803675910 ~2001
844023731168804746310 ~2001
844035821506421492710 ~2002
844038683168807736710 ~2001
844056413506433847910 ~2002
8440624811856937458311 ~2003
844067879168813575910 ~2001
844075871168815174310 ~2001
844081103168816220710 ~2001
8440891573376356628111 ~2004
844099043168819808710 ~2001
844116503168823300710 ~2001
844118039168823607910 ~2001
844127759168825551910 ~2001
844148939168829787910 ~2001
8441522775909065939111 ~2005
844153133506491879910 ~2002
844188731168837746310 ~2001
844192463168838492710 ~2001
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