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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
693396971138679394310 ~2000
6934129031109460644911 ~2002
693447011138689402310 ~2000
693454451138690890310 ~2000
6934790472357828759911 ~2003
693492179138698435910 ~2000
693542051138708410310 ~2000
693559067554847253710 ~2002
693563173416137903910 ~2001
693573593971003030310 ~2002
693580103138716020710 ~2000
6935903291525898723911 ~2003
693594983138718996710 ~2000
693595499138719099910 ~2000
693610433416166259910 ~2001
6936114311109778289711 ~2002
693612239138722447910 ~2000
693626723138725344710 ~2000
693631573416178943910 ~2001
693633001416179800710 ~2001
693647021554917616910 ~2002
693652433971113406310 ~2002
693677459138735491910 ~2000
693678983138735796710 ~2000
693686111138737222310 ~2000
Exponent Prime Factor Digits Year
693686303138737260710 ~2000
693701579138740315910 ~2000
693732563138746512710 ~2000
693767471138753494310 ~2000
693788527693788527110 ~2002
693799643138759928710 ~2000
693850879693850879110 ~2002
693872737416323642310 ~2001
693903227555122581710 ~2002
6939051192359277404711 ~2003
6939081911110253105711 ~2002
693911773416347063910 ~2001
6939157572775663028111 ~2003
693919091138783818310 ~2000
693927959138785591910 ~2000
693928643138785728710 ~2000
693939731138787946310 ~2000
693963311138792662310 ~2000
693969071138793814310 ~2000
693972791138794558310 ~2000
694021463138804292710 ~2000
694031713416419027910 ~2001
694036979138807395910 ~2000
694040603138808120710 ~2000
694041191138808238310 ~2000
Exponent Prime Factor Digits Year
694045411694045411110 ~2002
694101059138820211910 ~2000
694114451138822890310 ~2000
694115537416469322310 ~2001
694119383138823876710 ~2000
694128371138825674310 ~2000
694131719138826343910 ~2000
694146443138829288710 ~2000
694147763138829552710 ~2000
694265651138853130310 ~2000
694265699138853139910 ~2000
694282133416569279910 ~2001
694288319555430655310 ~2002
694315103138863020710 ~2000
6943291871249792536711 ~2002
694346953416608171910 ~2001
694357091138871418310 ~2000
6943860711805403784711 ~2003
694418281416650968710 ~2001
694419839138883967910 ~2000
694427527694427527110 ~2002
694437011138887402310 ~2000
694439279138887855910 ~2000
694443923138888784710 ~2000
694470911138894182310 ~2000
Exponent Prime Factor Digits Year
694484291138896858310 ~2000
6944846275139186239911 ~2004
694517903138903580710 ~2000
694525619138905123910 ~2000
694534163138906832710 ~2000
694549763138909952710 ~2000
694555643138911128710 ~2000
694562051138912410310 ~2000
694575923138915184710 ~2000
694586861555669488910 ~2002
6946041791250287522311 ~2002
694607897416764738310 ~2001
694635503138927100710 ~2000
694676711138935342310 ~2000
694686731138937346310 ~2000
694728143138945628710 ~2000
694733003138946600710 ~2000
6947514131111602260911 ~2002
694761131138952226310 ~2000
694790471138958094310 ~2000
694850531138970106310 ~2000
6948689592918449627911 ~2003
694874189555899351310 ~2002
694878311555902648910 ~2002
694883771138976754310 ~2000
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25-04-13