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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.
Exp. Prime Factor Digits Year
5201827520182718 ~1985
5201837416146978 ~1985
5201951104039038 ~1983
5202151936387198 ~1986
5202247832359538 ~1986
5202251416180098 ~1985
5202479104049598 ~1983
5202479416198338
5202511520251118 ~1985
52027933641955119 ~1987
5202811520281118 ~1985
5202917312175038 ~1985
5203061312183678 ~1985
5203181312190878 ~1985
5203201312192078 ~1985
5203337312200238 ~1985
5203453312207198 ~1985
5203631104072638 ~1983
52044111353146879 ~1986
5204477416358178 ~1985
5204491520449118 ~1985
52046034996418899 ~1988
5204789416383138 ~1985
5204933312295998 ~1985
5204951936891198 ~1986
Exp. Prime Factor Digits Year
5204957416396578 ~1985
5205037312302238 ~1985
5205071104101438 ~1983
5205071416405698
52051693643618319 ~1987
5205169140539563110
5205251104105038 ~1983
5205329416426338 ~1985
52053675934118399 ~1988
5205719416457538 ~1985
5205839104116798 ~1983
52059131249419139 ~1986
5205953312357198 ~1985
5205997312359838 ~1985
5206121312367278 ~1985
52061531145353679 ~1986
5206273312376398 ~1985
5206363520636318 ~1985
52063731666039379 ~1986
52064172394951839 ~1987
5206447520644718 ~1985
52064891561946719 ~1986
5206511104130238 ~1983
5206739104134798 ~1983
52067832082713219 ~1987
Exp. Prime Factor Digits Year
52068193332364179 ~1987
5206823104136478 ~1983
5206867937236078 ~1986
5207003104140078 ~1983
5207291104145838 ~1983
5207291416583298
5207707520770718 ~1985
52077491145704799 ~1986
52087011979306399 ~1987
5209031104180638 ~1983
5209559416764738 ~1985
5209777312586638 ~1985
5209817416785378 ~1985
5210039104200798 ~1983
5210197312611838 ~1985
5210297729441598 ~1986
52103112084124419 ~1987
5210323521032318 ~1985
5210399104207998 ~1983
5210479521047918 ~1985
5210519104210398 ~1983
5210537416842978 ~1985
5210609416848738 ~1985
5210951104219038 ~1983
5211023104220478 ~1983
Exp. Prime Factor Digits Year
5211071104221438 ~1983
5211259938026638 ~1986
5211359104227198 ~1983
5211539104230798 ~1983
5211659104233198 ~1983
5211743104234878 ~1983
5211803104236078 ~1983
5212019104240398 ~1983
5212019416961538
5212139104242798 ~1983
52123431355209199 ~1986
5212943104258878 ~1983
5212993312779598 ~1985
5213083521308318 ~1985
5213113312786798 ~1985
5213141312788478 ~1985
5213231104264638 ~1983
5213693729917038 ~1986
5213941312836478 ~1985
5213947212729037710 ~1989
52140591251374179 ~1986
5214119104282398 ~1983
5214179417134338 ~1985
52141979072702799 ~1988
52142594275692399 ~1987
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