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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
3442034639688406927910 ~2005
3442102439688420487910 ~2005
3442112099688422419910 ~2005
3442121279688424255910 ~2005
3442133951688426790310 ~2005
34421992212065319532711 ~2007
3442207091688441418310 ~2005
3442402031688480406310 ~2005
3442448819688489763910 ~2005
34425994393442599439111 ~2007
3442866743688573348710 ~2005
3443072063688614412710 ~2005
3443101643688620328710 ~2005
3443143559688628711910 ~2005
34432337772065940266311 ~2007
3443466479688693295910 ~2005
3443676143688735228710 ~2005
3443873903688774780710 ~2005
3443912123688782424710 ~2005
34439330692755146455311 ~2007
34440089932066405395911 ~2007
3444073343688814668710 ~2005
34440797532066447851911 ~2007
3444122183688824436710 ~2005
34442036572066522194311 ~2007
Exponent Prime Factor Digits Year
3444329279688865855910 ~2005
34445061112755604888911 ~2007
3444793259688958651910 ~2005
3444922979688984595910 ~2005
3445007099689001419910 ~2005
34450721992756057759311 ~2007
3445211111689042222310 ~2005
3445230059689046011910 ~2005
3445274159689054831910 ~2005
3445340903689068180710 ~2005
34455388572067323314311 ~2007
3445614863689122972710 ~2005
34457428932067445735911 ~2007
34457827998269878717711 ~2008
3445808543689161708710 ~2005
3445833719689166743910 ~2005
34458684012067521040711 ~2007
34458897193445889719111 ~2007
344603493713784139748112 ~2009
3446167859689233571910 ~2005
34462351792756988143311 ~2007
3446343431689268686310 ~2005
34463490732067809443911 ~2007
34464422772067865366311 ~2007
3446446319689289263910 ~2005
Exponent Prime Factor Digits Year
3446571179689314235910 ~2005
34467461593446746159111 ~2007
3446833811689366762310 ~2005
3446914703689382940710 ~2005
34469667732068180063911 ~2007
3447101519689420303910 ~2005
34474679212068480752711 ~2007
3447540983689508196710 ~2005
34478197198274767325711 ~2008
3447954539689590907910 ~2005
3447959951689591990310 ~2005
3447968519689593703910 ~2005
3447994271689598854310 ~2005
34480462972068827778311 ~2007
3448179323689635864710 ~2005
3448193579689638715910 ~2005
3448500383689700076710 ~2005
34485607572069136454311 ~2007
3448566659689713331910 ~2005
3448827419689765483910 ~2005
3448924103689784820710 ~2005
344909795927592783672112 ~2009
3449108339689821667910 ~2005
3449153639689830727910 ~2005
3449154563689830912710 ~2005
Exponent Prime Factor Digits Year
34492354875518776779311 ~2008
344926178927594094312112 ~2009
34494495292759559623311 ~2007
34495181812759614544911 ~2007
3449682779689936555910 ~2005
3449753063689950612710 ~2005
34499421172069965270311 ~2007
34499671732069980303911 ~2007
3449996111689999222310 ~2005
3450413399690082679910 ~2006
3450498599690099719910 ~2006
3450564503690112900710 ~2006
3450921839690184367910 ~2006
3450954323690190864710 ~2006
34510568812070634128711 ~2007
3451129943690225988710 ~2006
3451330859690266171910 ~2006
34513611012070816660711 ~2007
3451580651690316130310 ~2006
3451611491690322298310 ~2006
34516989615522718337711 ~2008
34517557732071053463911 ~2007
3452102411690420482310 ~2006
3452182091690436418310 ~2006
3452267939690453587910 ~2006
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25-09-07