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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
858562031171712406310 ~2001
8585774831373723972911 ~2003
858589943171717988710 ~2001
858619691171723938310 ~2001
858627923171725584710 ~2001
858647351171729470310 ~2001
858699841515219904710 ~2002
8587118571202196599911 ~2003
858741899171748379910 ~2001
858756539171751307910 ~2001
858804763858804763110 ~2002
858856177515313706310 ~2002
858861203171772240710 ~2001
858892997687114397710 ~2002
8589832074123119393711 ~2004
858996779171799355910 ~2001
859001651171800330310 ~2001
859017373515410423910 ~2002
859042511171808502310 ~2001
859058591171811718310 ~2001
859069139687255311310 ~2002
859151603171830320710 ~2001
859156691171831338310 ~2001
859178059859178059110 ~2003
8591867171374698747311 ~2003
Exponent Prime Factor Digits Year
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
859553323859553323110 ~2003
859593557687674845710 ~2002
859608143171921628710 ~2001
859612679171922535910 ~2001
859615331171923066310 ~2001
8596206771203468947911 ~2003
859696811171939362310 ~2001
Exponent Prime Factor Digits Year
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
8600608338772620496711 ~2005
860149571172029914310 ~2001
860156483172031296710 ~2001
860166739860166739110 ~2003
860194331688155464910 ~2002
860197823172039564710 ~2001
860203637516122182310 ~2002
860251837516151102310 ~2002
860277191172055438310 ~2001
860301419172060283910 ~2001
860316251172063250310 ~2001
860321687688257349710 ~2002
Exponent Prime Factor Digits Year
860336219172067243910 ~2001
8603556191548640114311 ~2003
860363279172072655910 ~2001
860405831172081166310 ~2001
860419643172083928710 ~2001
860426531172085306310 ~2001
860433419172086683910 ~2001
860435183172087036710 ~2001
860440463172088092710 ~2001
8604839471376774315311 ~2003
860492579172098515910 ~2001
860498363172099672710 ~2001
860502983172100596710 ~2001
8605183971204725755911 ~2003
860526437688421149710 ~2002
8605696636196101573711 ~2005
860580839172116167910 ~2001
860617871172123574310 ~2001
860617991688494392910 ~2002
860620151172124030310 ~2001
8606225416712855819911 ~2005
860674943172134988710 ~2001
860694539172138907910 ~2001
860703419172140683910 ~2001
860725139172145027910 ~2001
3693
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25-12-14