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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
8578192973259713328711 ~2004
857864219171572843910 ~2001
857879843171575968710 ~2001
857910863171582172710 ~2001
857954099171590819910 ~2001
858021431171604286310 ~2001
858042431171608486310 ~2001
858064433514838659910 ~2002
858075899171615179910 ~2001
858091523171618304710 ~2001
858115463171623092710 ~2001
858143171171628634310 ~2001
858156989686525591310 ~2002
858181321514908792710 ~2002
858218759171643751910 ~2001
858222479171644495910 ~2001
858239303171647860710 ~2001
858287939171657587910 ~2001
858296951171659390310 ~2001
858297761514978656710 ~2002
858299423171659884710 ~2001
858306851686645480910 ~2002
8583185111544973319911 ~2003
8583272931201658210311 ~2003
858338171171667634310 ~2001
Exponent Prime Factor Digits Year
858378863171675772710 ~2001
858407723171681544710 ~2001
858436259171687251910 ~2001
858440357515064214310 ~2002
858447701515068620710 ~2002
858463451171692690310 ~2001
8584812193605621119911 ~2004
858528323171705664710 ~2001
858538259171707651910 ~2001
858561943858561943110 ~2002
858562031171712406310 ~2001
8585774831373723972911 ~2003
858589943171717988710 ~2001
858619691171723938310 ~2001
858627923171725584710 ~2001
858699841515219904710 ~2002
8587118571202196599911 ~2003
858741899171748379910 ~2001
858756539171751307910 ~2001
858804763858804763110 ~2002
858856177515313706310 ~2002
858861203171772240710 ~2001
8589832074123119393711 ~2004
858996779171799355910 ~2001
859001651171800330310 ~2001
Exponent Prime Factor Digits Year
859017373515410423910 ~2002
859042511171808502310 ~2001
859058591171811718310 ~2001
859069139687255311310 ~2002
859151603171830320710 ~2001
859156691171831338310 ~2001
859178059859178059110 ~2002
859226243171845248710 ~2001
859240559171848111910 ~2001
859288691171857738310 ~2001
859301843171860368710 ~2001
859302623171860524710 ~2001
859326311171865262310 ~2001
859364171171872834310 ~2001
859366691171873338310 ~2001
859370807687496645710 ~2002
859370951171874190310 ~2001
859394219171878843910 ~2001
859396931171879386310 ~2001
859398719171879743910 ~2001
859399043171879808710 ~2001
859424339171884867910 ~2001
859430459171886091910 ~2001
859440479171888095910 ~2001
859451903171890380710 ~2001
Exponent Prime Factor Digits Year
859593557687674845710 ~2002
859608143171921628710 ~2001
859612679171922535910 ~2001
859615331171923066310 ~2001
8596206771203468947911 ~2003
859696811171939362310 ~2001
859729439171945887910 ~2001
859740911171948182310 ~2001
859779803171955960710 ~2001
859898939171979787910 ~2001
859901951171980390310 ~2001
859915883171983176710 ~2001
859922879687938303310 ~2002
859924343171984868710 ~2001
859930391171986078310 ~2001
859945451171989090310 ~2001
859985699171997139910 ~2001
859993273515995963910 ~2002
860044019172008803910 ~2001
860149571172029914310 ~2001
860156483172031296710 ~2001
860166739860166739110 ~2002
860194331688155464910 ~2002
860197823172039564710 ~2001
860251837516151102310 ~2002
3516
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25-07-20