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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
4995416399990832799 ~1999
499546457299727874310 ~2000
499550693299730415910 ~2000
499558483499558483110 ~2001
4995684839991369679 ~1999
4995912599991825199 ~1999
4996169639992339279 ~1999
4996175519992351039 ~1999
4996180991199083437711 ~2002
4996201199992402399 ~1999
4996372799992745599 ~1999
4996776119993552239 ~1999
4996876199993752399 ~1999
4996916039993832079 ~1999
4997131439994262879 ~1999
4997314439994628879 ~1999
4997627519995255039 ~1999
499769953299861971910 ~2000
4997699999995399999 ~1999
4997931119995862239 ~1999
4997992319995984639 ~1999
4998222599996445199 ~1999
499841101299904660710 ~2000
4998522719997045439 ~1999
4998647519997295039 ~1999
Exponent Prime Factor Digits Year
4998731039997462079 ~1999
4998756119997512239 ~1999
4998857519997715039 ~1999
4998863399997726799 ~1999
499898887499898887110 ~2001
4998993719997987439 ~1999
499919753299951851910 ~2000
4999275533999420424111 ~2003
4999291799998583599 ~1999
4999423799998847599 ~1999
4999892231199974135311 ~2002
500009537300005722310 ~2000
500011073300006643910 ~2000
500022907800036651310 ~2001
500025899400020719310 ~2000
500047811100009562310 ~1999
500059331100011866310 ~1999
500059873300035923910 ~2000
500061077700085507910 ~2001
500065799100013159910 ~1999
500086231500086231110 ~2001
500100989400080791310 ~2000
500145731100029146310 ~1999
500175023100035004710 ~1999
500176283100035256710 ~1999
Exponent Prime Factor Digits Year
500206361300123816710 ~2000
500206823100041364710 ~1999
500206879500206879110 ~2001
500211611100042322310 ~1999
500235139500235139110 ~2001
5002419537603677685711 ~2004
500289059100057811910 ~1999
500294243100058848710 ~1999
500297159100059431910 ~1999
500305097300183058310 ~2000
500305343100061068710 ~1999
500309633300185779910 ~2000
500323091100064618310 ~1999
500338151400270520910 ~2000
500343323100068664710 ~1999
500347499100069499910 ~1999
500365813300219487910 ~2000
500371919100074383910 ~1999
500385659100077131910 ~1999
500396591400317272910 ~2000
500412977400330381710 ~2000
500453951100090790310 ~1999
5004652211101023486311 ~2001
500498039100099607910 ~1999
5005188612402490532911 ~2002
Exponent Prime Factor Digits Year
500528579100105715910 ~1999
500539631100107926310 ~1999
500550191100110038310 ~1999
500550293300330175910 ~2000
500550593300330355910 ~2000
500596133300357679910 ~2000
500602559100120511910 ~1999
500621483100124296710 ~1999
500624759100124951910 ~1999
500626559100125311910 ~1999
500646479100129295910 ~1999
500652863100130572710 ~1999
500654939100130987910 ~1999
500660411100132082310 ~1999
500666819100133363910 ~1999
500683523100136704710 ~1999
500689583100137916710 ~1999
500689793300413875910 ~2000
500693951100138790310 ~1999
500698343100139668710 ~1999
500701583100140316710 ~1999
500702063100140412710 ~1999
500712431100142486310 ~1999
500722843500722843110 ~2001
500724083100144816710 ~1999
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25-04-13