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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
3435506471687101294310 ~2005
34359089775497454363311 ~2008
34361315412061678924711 ~2007
34362027172748962173711 ~2007
3436280411687256082310 ~2005
34363012612749041008911 ~2007
34363165372749053229711 ~2007
3436345331687269066310 ~2005
3436352291687270458310 ~2005
3436412879687282575910 ~2005
34366027312749282184911 ~2007
34367494732062049683911 ~2007
34367680338248243279311 ~2008
3436819559687363911910 ~2005
34371595873437159587111 ~2007
34372199172062331950311 ~2007
3437369759687473951910 ~2005
3437689511687537902310 ~2005
3437860859687572171910 ~2005
34378640992750291279311 ~2007
3437886911687577382310 ~2005
34380388372750431069711 ~2007
3438084959687616991910 ~2005
3438163103687632620710 ~2005
34381947412062916844711 ~2007
Exponent Prime Factor Digits Year
34382329372062939762311 ~2007
3438284519687656903910 ~2005
34383288793438328879111 ~2007
3438346811687669362310 ~2005
3438482711687696542310 ~2005
34386280798252707389711 ~2008
3438868019687773603910 ~2005
3438874931687774986310 ~2005
34391450298253948069711 ~2008
3439186823687837364710 ~2005
343928005727514240456112 ~2009
3439353023687870604710 ~2005
3439494983687898996710 ~2005
3439665431687933086310 ~2005
3439781711687956342310 ~2005
3439847291687969458310 ~2005
34399594335503935092911 ~2008
3440314583688062916710 ~2005
3440424731688084946310 ~2005
3440838851688167770310 ~2005
3440909603688181920710 ~2005
3440937191688187438310 ~2005
3441090491688218098310 ~2005
3441163031688232606310 ~2005
344129836330971685267112 ~2010
Exponent Prime Factor Digits Year
3441304463688260892710 ~2005
3441357299688271459910 ~2005
34417827772065069666311 ~2007
3441906131688381226310 ~2005
34419861592753588927311 ~2007
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
Exponent Prime Factor Digits Year
34440089932066405395911 ~2007
3444073343688814668710 ~2005
34440797532066447851911 ~2007
3444122183688824436710 ~2005
34442036572066522194311 ~2007
3444329279688865855910 ~2005
34445061112755604888911 ~2007
3444793259688958651910 ~2005
3444922979688984595910 ~2005
3445007099689001419910 ~2005
34450721992756057759311 ~2007
3445211111689042222310 ~2005
3445230059689046011910 ~2005
3445274159689054831910 ~2005
34455388572067323314311 ~2007
3445614863689122972710 ~2005
34457428932067445735911 ~2007
34457827998269878717711 ~2008
3445808543689161708710 ~2005
3445833719689166743910 ~2005
34458684012067521040711 ~2007
34458897193445889719111 ~2007
344603493713784139748112 ~2009
3446167859689233571910 ~2005
34462351792756988143311 ~2007
3947
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25-05-04