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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
300232099006962719 ~1992
30024359600487198 ~1989
300248877205972899 ~1992
30024899600497998 ~1989
300250131801500799 ~1991
30025199600503998 ~1989
30025679600513598 ~1989
30025811600516238 ~1989
30025883600517678 ~1989
300260571801563439 ~1991
30026291600525838 ~1989
30026459600529198 ~1989
300266395404795039 ~1992
30026651600533038 ~1989
30029039600580798 ~1989
300290811801744879 ~1991
30029711600594238 ~1989
30030131600602638 ~1989
30030359600607198 ~1989
30030719600614398 ~1989
30030779600615598 ~1989
300308811801852879 ~1991
30031691600633838 ~1989
30032039600640798 ~1989
30032543600650878 ~1989
Exponent Prime Factor Digits Year
30032699600653998 ~1989
30032771600655438 ~1989
300330374805285939 ~1992
30033131600662638 ~1989
30033323600666478 ~1989
30033359600667198 ~1989
30034379600687598 ~1989
30034811600696238 ~1989
30035003600700078 ~1989
300352075406337279 ~1992
300353934204955039 ~1991
300355912402847299 ~1991
30036791600735838 ~1989
30037391600747838 ~1989
30037439600748798 ~1989
30037523600750478 ~1989
30037751600755038 ~1989
30037979600759598 ~1989
300389475407010479 ~1992
30039491600789838 ~1989
30039539600790798 ~1989
30039623600792478 ~1989
30039683600793678 ~1989
300401331802407999 ~1991
30041021360492252110 ~1994
Exponent Prime Factor Digits Year
30041183600823678 ~1989
30041411600828238 ~1989
30041699600833998 ~1989
30042191600843838 ~1989
30042263600845278 ~1989
300423434806774899 ~1992
30042359600847198 ~1989
30042851600857038 ~1989
30043523600870478 ~1989
30043679600873598 ~1989
30043703600874078 ~1989
30044603600892078 ~1989
30044699600893998 ~1989
30046319600926398 ~1989
300464833004648319 ~1991
300465712403725699 ~1991
30046721234364423910 ~1993
30046979600939598 ~1989
300473771802842639 ~1991
30048071600961438 ~1989
30048719600974398 ~1989
30048923600978478 ~1989
30049139600982798 ~1989
30049979600999598 ~1989
30050159601003198 ~1989
Exponent Prime Factor Digits Year
30050879601017598 ~1989
30051083601021678 ~1989
300513475409242479 ~1992
30052111246427310310 ~1993
30052679601053598 ~1989
30052871601057438 ~1989
300530331803181999 ~1991
30053063601061278 ~1989
300531313005313119 ~1991
30053531601070638 ~1989
30053591601071838 ~1989
30054023601080478 ~1989
30054191601083838 ~1989
30054239601084798 ~1989
300542593005425919 ~1991
30054263601085278 ~1989
30054613408742736910 ~1994
30054863601097278 ~1989
30055391601107838 ~1989
30055703601114078 ~1989
30055799601115998 ~1989
30056219601124398 ~1989
30056291601125838 ~1989
300565131803390799 ~1991
300565494207916879 ~1991
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25-11-17