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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
692985919692985919110 ~2002
692997719138599543910 ~2000
693019447693019447110 ~2002
693020813415812487910 ~2001
693021419138604283910 ~2000
693025691138605138310 ~2000
693033563138606712710 ~2000
693068963138613792710 ~2000
693090803138618160710 ~2000
693100091138620018310 ~2000
693113921415868352710 ~2001
6931248413326999236911 ~2003
693128339138625667910 ~2000
693131651138626330310 ~2000
6931459514574763276711 ~2004
693190931138638186310 ~2000
693203411138640682310 ~2000
693218411138643682310 ~2000
693231941415939164710 ~2001
693243311138648662310 ~2000
693243959138648791910 ~2000
693279683138655936710 ~2000
693335183138667036710 ~2000
693342317554673853710 ~2002
693378359138675671910 ~2000
Exponent Prime Factor Digits Year
693396971138679394310 ~2000
6934129031109460644911 ~2002
693435959138687191910 ~2000
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
693613463138722692710 ~2000
693626723138725344710 ~2000
693631573416178943910 ~2001
693633001416179800710 ~2001
693647021554917616910 ~2002
693652433971113406310 ~2002
693677459138735491910 ~2000
Exponent Prime Factor Digits Year
693678983138735796710 ~2000
693686111138737222310 ~2000
693686303138737260710 ~2000
693701579138740315910 ~2000
693732563138746512710 ~2000
693767471138753494310 ~2000
693788527693788527110 ~2002
693799643138759928710 ~2000
693848339555078671310 ~2002
693850879693850879110 ~2002
693853403138770680710 ~2000
693872737416323642310 ~2001
693874943138774988710 ~2000
693903227555122581710 ~2002
6939051192359277404711 ~2003
6939081911110253105711 ~2002
693911773416347063910 ~2001
6939157572775663028111 ~2003
693919091138783818310 ~2000
693927959138785591910 ~2000
693928643138785728710 ~2000
693939731138787946310 ~2000
693944759138788951910 ~2000
693953783138790756710 ~2000
693963311138792662310 ~2000
Exponent Prime Factor Digits Year
693969071138793814310 ~2000
693972791138794558310 ~2000
693995759138799151910 ~2000
694021463138804292710 ~2000
694030193416418115910 ~2001
694031713416419027910 ~2001
694036979138807395910 ~2000
694040603138808120710 ~2000
694041191138808238310 ~2000
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
3702
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26-03-15