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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
668528771133705754310 ~2000
668551813401131087910 ~2001
668573903133714780710 ~2000
668598743133719748710 ~2000
668645051133729010310 ~2000
668696111133739222310 ~2000
6686983671203657060711 ~2002
668708399133741679910 ~2000
668725853936216194310 ~2002
668747291534997832910 ~2001
668834891133766978310 ~2000
66883579912306578701712 ~2005
668841791133768358310 ~2000
668860499133772099910 ~2000
668901071133780214310 ~2000
668919431133783886310 ~2000
668924783133784956710 ~2000
668925899133785179910 ~2000
668927473401356483910 ~2001
668929259133785851910 ~2000
668934131133786826310 ~2000
669031631133806326310 ~2000
669071891133814378310 ~2000
66912213720742786247112 ~2005
669139403133827880710 ~2000
Exponent Prime Factor Digits Year
669142319133828463910 ~2000
669149483133829896710 ~2000
6691646773613489255911 ~2003
669184177401510506310 ~2001
669196757936875459910 ~2002
669199451133839890310 ~2000
669214193401528515910 ~2001
669247451133849490310 ~2000
669248753401549251910 ~2001
6692523832141607625711 ~2003
66926101128912075675312 ~2006
669267721401560632710 ~2001
669284783133856956710 ~2000
669289931535431944910 ~2001
669314351133862870310 ~2000
669343931133868786310 ~2000
669386303133877260710 ~2000
669409283133881856710 ~2000
669434561401660736710 ~2001
669435973401661583910 ~2001
669459239133891847910 ~2000
669469013401681407910 ~2001
669483539133896707910 ~2000
669491183133898236710 ~2000
669494363133898872710 ~2000
Exponent Prime Factor Digits Year
669506483133901296710 ~2000
669524939133904987910 ~2000
669534083133906816710 ~2000
669544279669544279110 ~2002
669544703133908940710 ~2000
669546541401727924710 ~2001
669550859133910171910 ~2000
669553499133910699910 ~2000
669569471535655576910 ~2001
669593333401755999910 ~2001
669603659133920731910 ~2000
669642419133928483910 ~2000
6696455511741078432711 ~2003
669652517937513523910 ~2002
669661511133932302310 ~2000
669661763133932352710 ~2000
669681899133936379910 ~2000
669700093401820055910 ~2001
669734291535787432910 ~2001
669783311133956662310 ~2000
6697967032143349449711 ~2003
669797783133959556710 ~2000
669820577401892346310 ~2001
669825311133965062310 ~2000
669826397535861117710 ~2001
Exponent Prime Factor Digits Year
669849101535879280910 ~2001
669869713401921827910 ~2001
669900659133980131910 ~2000
669903191133980638310 ~2000
669909203133981840710 ~2000
669915929535932743310 ~2001
669918191133983638310 ~2000
6699454271071912683311 ~2002
669949859133989971910 ~2000
669957311133991462310 ~2000
669984851133996970310 ~2000
669991559133998311910 ~2000
670006223134001244710 ~2000
670028459134005691910 ~2000
670035491134007098310 ~2000
670099553402059731910 ~2001
670102883134020576710 ~2000
670148123134029624710 ~2000
670148879134029775910 ~2000
670175711134035142310 ~2000
670192811134038562310 ~2000
670198019536158415310 ~2001
670204091134040818310 ~2000
670229797402137878310 ~2001
670232219134046443910 ~2000
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25-06-08