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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
8912152871604187516711 ~2003
891220331178244066310 ~2001
891234131178246826310 ~2001
891254543178250908710 ~2001
891257723178251544710 ~2001
891264659178252931910 ~2001
8912712372139050968911 ~2004
891278797534767278310 ~2002
891290423178258084710 ~2001
891324743178264948710 ~2001
891350093534810055910 ~2002
891363719178272743910 ~2001
891402661534841596710 ~2002
891408223891408223110 ~2003
891420479178284095910 ~2001
891426509713141207310 ~2002
891446327713157061710 ~2002
891447083178289416710 ~2001
891463439178292687910 ~2001
891490163178298032710 ~2001
891502523178300504710 ~2001
891508837534905302310 ~2002
891526199178305239910 ~2001
8915327772674598331111 ~2004
891534401713227520910 ~2002
Exponent Prime Factor Digits Year
891568259178313651910 ~2001
891570419178314083910 ~2001
891582563178316512710 ~2001
891607511178321502310 ~2001
891677603178335520710 ~2001
8916781312318363140711 ~2004
891692759178338551910 ~2001
8917172891961778035911 ~2003
891748199178349639910 ~2001
891802397535081438310 ~2002
891825113535095067910 ~2002
8918338074994269319311 ~2004
891851143891851143110 ~2003
891867611178373522310 ~2001
891871567891871567110 ~2003
891874283178374856710 ~2001
891888983178377796710 ~2001
891900173535140103910 ~2002
891910781535146468710 ~2002
891938759178387751910 ~2001
891951239178390247910 ~2001
891952823178390564710 ~2001
892011959178402391910 ~2001
892032923178406584710 ~2001
892036283178407256710 ~2001
Exponent Prime Factor Digits Year
892039871178407974310 ~2001
892041617535224970310 ~2002
892042451178408490310 ~2001
892048481535229088710 ~2002
892063103178412620710 ~2001
892077971178415594310 ~2001
892079533535247719910 ~2002
892095299178419059910 ~2001
892124111178424822310 ~2001
892127281535276368710 ~2002
892149697535289818310 ~2002
892179719178435943910 ~2001
8921861772141246824911 ~2004
892209611178441922310 ~2001
892222703178444540710 ~2001
892225391178445078310 ~2001
8922694072319900458311 ~2004
892276163178455232710 ~2001
892350083178470016710 ~2001
892370483178474096710 ~2001
892372451178474490310 ~2001
892406591178481318310 ~2001
892431899178486379910 ~2001
892498559178499711910 ~2001
892522439178504487910 ~2001
Exponent Prime Factor Digits Year
892551811892551811110 ~2003
8925764111428122257711 ~2003
892586699178517339910 ~2001
892587131178517426310 ~2001
892593433535556059910 ~2002
892602611178520522310 ~2001
892615021535569012710 ~2002
8926235274284592929711 ~2004
892630859178526171910 ~2001
892639381535583628710 ~2002
892639739178527947910 ~2001
892641203178528240710 ~2001
892654843892654843110 ~2003
892671491178534298310 ~2001
892676243178535248710 ~2001
892719983178543996710 ~2001
892722197535633318310 ~2002
892807379178561475910 ~2001
89282363928570356448112 ~2006
892853639178570727910 ~2001
892862897714290317710 ~2002
892975763178595152710 ~2001
892985003178597000710 ~2001
892997219178599443910 ~2001
893032103178606420710 ~2001
3956
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26-07-05