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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
3347273468618238 ~1984
33472731004181919
3347297267783778 ~1983
3347341200840478 ~1983
33473412945660099
3347503535600498 ~1984
3347599334759918 ~1984
3347599602567838
3347753200865198 ~1983
334784366956877 ~1982
3347879267830338 ~1983
334801166960237 ~1982
3348131267850498 ~1983
3348223535715698 ~1984
3348227803574498 ~1985
334823966964797 ~1982
33482831406278879 ~1985
3348287267862978 ~1983
334841966968397 ~1982
33484191071494099
334847966969597 ~1982
3348481200908878 ~1983
334856366971277 ~1982
334859966971997 ~1982
3348641200918478 ~1983
Exp. Prime Factor Digits Year
3348887267910978 ~1983
334910366982077 ~1982
33491394822760179 ~1987
3349183334918318 ~1984
3349217267937378 ~1983
3349231334923118 ~1984
33492791326314484111 ~1990
3349321736850638 ~1985
334934366986877 ~1982
3349349468908878 ~1984
334940366988077 ~1982
3349439602899038 ~1984
3349501535920178 ~1984
33496493416641999 ~1986
3349733200983998 ~1983
3349807334980718 ~1984
3349817267985378 ~1983
3349817468974398
334991966998397 ~1982
3350261268020898 ~1983
3350353201021198 ~1983
3350371335037118 ~1984
335051967010397 ~1982
335057967011597 ~1982
3350653737143678 ~1985
Exp. Prime Factor Digits Year
3350657469091998 ~1984
335072367014477 ~1982
3350881737193838 ~1985
3351001201060078 ~1983
3351113201066798 ~1983
3351209469169278 ~1984
335125167025037 ~1982
3351301201078078 ~1983
3351331603239598 ~1984
3351451536232178 ~1984
33515115429447839 ~1987
3351553201093198 ~1983
335159967031997 ~1982
3351599603287838
3352003335200318 ~1984
3352033201121998 ~1983
3352073201124398 ~1983
3352361268188898 ~1983
335257167051437 ~1982
33527093419763199 ~1986
33528311341132419 ~1985
3352841268227298 ~1983
3352967268237378 ~1983
3353023536483698 ~1984
3353081268246498 ~1983
Exp. Prime Factor Digits Year
33530812414218339
335311167062237 ~1982
3353219268257538 ~1983
3353281737721838 ~1985
3353321201199278 ~1983
3353341201200478 ~1983
3353429268274338 ~1983
335357967071597 ~1982
3353851335385118 ~1984
3353881201232878 ~1983
335389167077837 ~1982
3354283536685298 ~1984
33545811073465939 ~1985
3354721201283278 ~1983
33547611006428319 ~1985
3354881201292878 ~1983
3355013201300798 ~1983
3355063335506318 ~1984
3355067268405378 ~1983
3355087603915678 ~1984
335515167103037 ~1982
3355201201312078 ~1983
33552593824995279 ~1986
3355519335551918 ~1984
3355621201337278 ~1983
554
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26-05-03