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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
409067981813597 ~1983
409076381815277 ~1983
4090841245450478 ~1984
409099181819837 ~1983
4091081327286498 ~1984
4091281654604978 ~1985
40913231636529219 ~1986
4091587409158718 ~1984
40915871636634819
4091609327328738 ~1984
4091627327330178 ~1984
409177181835437 ~1983
4091777245506638 ~1984
4091777982026498
409183181836637 ~1983
4091909327352738 ~1984
4092079409207918 ~1984
409208381841677 ~1983
4092157245529438 ~1984
4092317982156098 ~1985
409232381846477 ~1983
409238381847677 ~1983
4092401327392098 ~1984
4092433245545998 ~1984
409244381848877 ~1983
Exp. Prime Factor Digits Year
4092523409252318 ~1984
4092677327414178 ~1984
4092749327419938 ~1984
40927575893570099 ~1987
4092763409276318 ~1984
409298381859677 ~1983
4093087409308718 ~1984
409322381864477 ~1983
4093253245595198 ~1984
4093307736795278 ~1985
409334381866877 ~1983
409340381868077 ~1983
4093451327476098 ~1984
409357181871437 ~1983
40935894257332579 ~1987
4093627409362718 ~1984
4093751327500098 ~1984
409381181876237 ~1983
409387181877437 ~1983
409400381880077 ~1983
4094021327521698 ~1984
4094117245647038 ~1984
4094281245656878 ~1984
4094599409459918 ~1984
4094627327570178 ~1984
Exp. Prime Factor Digits Year
4094681245680878 ~1984
40946831637873219 ~1986
4094813245688798 ~1984
409481981896397 ~1983
409499981899997 ~1983
4095059327604738 ~1984
4095097245705838 ~1984
4095139737125038 ~1985
4095269327621538 ~1984
409549181909837 ~1983
4095523409552318 ~1984
4095617573386398 ~1985
40956297863607699 ~1987
409567181913437 ~1983
4095727655316338 ~1985
4095953573433438 ~1985
4096073573450238 ~1985
4096349573488878 ~1985
4096397245783838 ~1984
4096693655470898 ~1985
4096871737436798 ~1985
4096879409687918 ~1984
409706381941277 ~1983
40972571884738239 ~1986
40974472048723519 ~1986
Exp. Prime Factor Digits Year
4097453245847198 ~1984
4097617245857038 ~1984
409769981953997 ~1983
4097917245875038 ~1984
4097981245878878 ~1984
4098097245885838 ~1984
4098121245887278 ~1984
409829981965997 ~1983
409835981967197 ~1983
4098491327879298 ~1984
4098697655791538 ~1985
409877981975597 ~1983
4098817245929038 ~1984
409891181978237 ~1983
4099001245940078 ~1984
4099049983771778 ~1985
4099087409908718 ~1984
409981181996237 ~1983
4099853573979438 ~1985
409988381997677 ~1983
4099897245993838 ~1984
410023182004637 ~1983
4100311656049778 ~1985
410042382008477 ~1983
4100641656102578 ~1985
617
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25-11-17