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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
46921391126113379 ~1986
4692277281536638 ~1984
4692593281555598 ~1984
4692637281558238 ~1984
4692689375415138 ~1985
4692847469284718 ~1985
4692953281577198 ~1984
469295993859197 ~1983
4692959375436738
4693177750908338 ~1985
469343993868797 ~1983
469349993869997 ~1983
4693687469368718 ~1985
4693687750989938
4693727844870878 ~1985
469376393875277 ~1983
46939011408170319 ~1986
469400393880077 ~1983
469424393884877 ~1983
4694293281657598 ~1984
4694309657203278 ~1985
4694401281664078 ~1984
469460393892077 ~1983
469466393893277 ~1983
469469993893997 ~1983
Exp. Prime Factor Digits Year
4694773281686398 ~1984
46948211877928419 ~1986
469483193896637 ~1983
4694933281695998 ~1984
4695107375608578 ~1985
4695731375658498 ~1985
46957971126991299 ~1986
4695797116455765710
469585193917037 ~1983
469586393917277 ~1983
4695919469591918 ~1985
4695947375675778 ~1985
4695991751358578 ~1985
469603193920637 ~1983
4696093281765598 ~1984
4696177281770638 ~1984
469627193925437 ~1983
46963271127118499 ~1986
469637993927597 ~1983
46966391972588399 ~1986
46966911221139679 ~1986
4696711469671118 ~1985
469682393936477 ~1983
4696873751499698 ~1985
4697081281824878 ~1984
Exp. Prime Factor Digits Year
4697141375771298 ~1985
4697177281830638 ~1984
4697257281835438 ~1984
4697377281842638 ~1984
4698007469800718 ~1985
469805993961197 ~1983
4698293657761038 ~1985
469829993965997 ~1983
4698497281909838 ~1984
4698521375881698 ~1985
4698557375884578 ~1985
469856393971277 ~1983
4698773281926398 ~1984
469877993975597 ~1983
469909193981837 ~1983
469915193983037 ~1983
469928393985677 ~1983
469939193987837 ~1983
4699571845922798 ~1985
469961993992397 ~1983
469999193999837 ~1983
470009994001997 ~1983
470012394002477 ~1983
470023194004637 ~1983
470060394012077 ~1983
Exp. Prime Factor Digits Year
4700743752118898 ~1985
47008071222209839 ~1986
4700833282049998 ~1984
470093994018797 ~1983
4700957376076578 ~1985
470107194021437 ~1983
4701071376085698
470114394022877 ~1983
47012531034275679 ~1986
470131194026237 ~1983
4701311846235998
4701371846246798 ~1985
47015891128381379 ~1986
4701601282096078 ~1984
470173194034637 ~1983
470174394034877 ~1983
47017912256859699 ~1986
47018994889974979 ~1987
4701929376154338 ~1985
470207994041597 ~1983
47021697147296899 ~1988
470228394045677 ~1983
4702337282140238 ~1984
4702361282141678 ~1984
47023613385699939
684
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26-05-03