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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
30030779600615598 ~1989
300308811801852879 ~1991
30031691600633838 ~1989
30032039600640798 ~1989
30032543600650878 ~1989
30032699600653998 ~1989
30032771600655438 ~1989
300330374805285939 ~1992
30033131600662638 ~1989
30033323600666478 ~1989
30033359600667198 ~1989
30034379600687598 ~1989
30034811600696238 ~1989
30035003600700078 ~1989
300353934204955039 ~1991
300355912402847299 ~1991
30036791600735838 ~1989
30037391600747838 ~1989
30037439600748798 ~1989
30037523600750478 ~1989
30037751600755038 ~1989
30037979600759598 ~1989
300389475407010479 ~1992
30039491600789838 ~1989
30039539600790798 ~1989
Exponent Prime Factor Digits Year
30039623600792478 ~1989
30039683600793678 ~1989
300401331802407999 ~1991
30041021360492252110 ~1994
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
Exponent Prime Factor Digits Year
30048923600978478 ~1989
30049139600982798 ~1989
30049979600999598 ~1989
30050159601003198 ~1989
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
Exponent Prime Factor Digits Year
30056219601124398 ~1989
30056291601125838 ~1989
300565131803390799 ~1991
30058271601165438 ~1989
30058331601166638 ~1989
30058571601171438 ~1989
300586811803520879 ~1991
30059699601193998 ~1989
30059951601199038 ~1989
30061079601221598 ~1989
30061259601225198 ~1989
30061523601230478 ~1989
30061799601235998 ~1989
30061991601239838 ~1989
30062159601243198 ~1989
30062243601244878 ~1989
300622675411208079 ~1992
30062639601252798 ~1989
300629577215109699 ~1992
300631619620211539 ~1992
30063419601268398 ~1989
30063959601279198 ~1989
30064019601280398 ~1989
30064739601294798 ~1989
30064871601297438 ~1989
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25-05-04