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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
750760331150152066310 ~2000
750803159150160631910 ~2000
750807919750807919110 ~2002
750809099150161819910 ~2000
750809771150161954310 ~2000
750823571150164714310 ~2000
750832031150166406310 ~2000
750895373450537223910 ~2001
750919511150183902310 ~2000
750934139150186827910 ~2000
75094318715769806927112 ~2005
750956603150191320710 ~2000
750966751750966751110 ~2002
750992579150198515910 ~2000
751011323150202264710 ~2000
751032203150206440710 ~2000
751033847600827077710 ~2002
751062863150212572710 ~2000
751073903150214780710 ~2000
751098251150219650310 ~2000
751100099150220019910 ~2000
751142831600914264910 ~2002
751142999150228599910 ~2000
751146911150229382310 ~2000
751153043150230608710 ~2000
Exponent Prime Factor Digits Year
751157279150231455910 ~2000
751171139150234227910 ~2000
751191491150238298310 ~2000
751221071150244214310 ~2000
751251251150250250310 ~2000
751256711150251342310 ~2000
751319287751319287110 ~2002
751343531150268706310 ~2000
751355903150271180710 ~2000
751356383150271276710 ~2000
751414199150282839910 ~2000
751415123150283024710 ~2000
751421843150284368710 ~2000
751433159150286631910 ~2000
751435463150287092710 ~2000
751468499150293699910 ~2000
751480211150296042310 ~2000
751482923150296584710 ~2000
751487903150297580710 ~2000
751527071150305414310 ~2000
751528031150305606310 ~2000
751544543150308908710 ~2000
751644479150328895910 ~2000
751645799150329159910 ~2000
751662623150332524710 ~2000
Exponent Prime Factor Digits Year
751685003150337000710 ~2000
751725743150345148710 ~2000
751744391150348878310 ~2000
75174937727664377073712 ~2006
751751249601400999310 ~2002
751825619150365123910 ~2000
751844441451106664710 ~2001
751844777451106866310 ~2001
751899059150379811910 ~2000
751908383150381676710 ~2000
7519379331804651039311 ~2003
751965191150393038310 ~2000
75199459911580716824712 ~2005
752011619150402323910 ~2000
7520166232406453193711 ~2003
752034917451220950310 ~2001
7520586476016469176111 ~2004
752061671150412334310 ~2000
752078279150415655910 ~2000
752078891150415778310 ~2000
752182283150436456710 ~2000
752223977601779181710 ~2002
752234123150446824710 ~2000
752258603150451720710 ~2000
752316179150463235910 ~2000
Exponent Prime Factor Digits Year
752324063150464812710 ~2000
752355491150471098310 ~2000
752356103150471220710 ~2000
752389091150477818310 ~2000
752425031150485006310 ~2000
752428799601943039310 ~2002
752430179150486035910 ~2000
752481563150496312710 ~2000
752482091150496418310 ~2000
752485523150497104710 ~2000
752490961451494576710 ~2001
752511719150502343910 ~2000
752519987602015989710 ~2002
752544713451526827910 ~2001
752589037451553422310 ~2001
752641871150528374310 ~2000
7526445373010578148111 ~2004
7526455211655820146311 ~2003
752694863150538972710 ~2000
7527097812258129343111 ~2003
752736221451641732710 ~2001
752751011150550202310 ~2000
752774051150554810310 ~2000
752782991150556598310 ~2000
752783051150556610310 ~2000
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25-06-08