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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
468377993675597 ~1983
4683871468387118 ~1985
468392393678477 ~1983
468425993685197 ~1983
468439193687837 ~1983
468452393690477 ~1983
4684553655837438 ~1985
46849576371541539 ~1988
4685071468507118 ~1985
4685129374810338 ~1985
46851794216661119 ~1987
46852211030748639 ~1986
4685333655946638 ~1985
4685341281120478 ~1984
4685497749679538 ~1985
468611993722397 ~1983
4686257281175438 ~1984
4686817281209038 ~1984
4686841281210478 ~1984
468703193740637 ~1983
468721193744237 ~1983
4687283104995139310 ~1988
4687313656223838 ~1985
4687421281245278 ~1984
468775193755037 ~1983
Exp. Prime Factor Digits Year
4687751375020098
4687799375023938 ~1985
4687901375032098 ~1985
4688147375051778 ~1985
46883393375604099 ~1987
4688357656369998 ~1985
4688771375101698 ~1985
4689017281341038 ~1984
4689089656472478 ~1985
4689247468924718 ~1985
46894131406823919 ~1986
46899472251174579 ~1986
4690417281425038 ~1984
4690531469053118 ~1985
4690619375249538 ~1985
4690811237355036710 ~1989
469085993817197 ~1983
4691321281479278 ~1984
4691801281508078 ~1984
469190393838077 ~1983
4691969375357538 ~1985
469207193841437 ~1983
46921391126113379 ~1986
4692277281536638 ~1984
4692593281555598 ~1984
Exp. Prime Factor Digits Year
4692637281558238 ~1984
4692689375415138 ~1985
4692847469284718 ~1985
4692953281577198 ~1984
469295993859197 ~1983
4692959375436738
4693177750908338 ~1985
469343993868797 ~1983
469349993869997 ~1983
4693687469368718 ~1985
4693727844870878 ~1985
469376393875277 ~1983
46939011408170319 ~1986
469400393880077 ~1983
469424393884877 ~1983
4694293281657598 ~1984
4694309657203278 ~1985
4694401281664078 ~1984
469460393892077 ~1983
469466393893277 ~1983
469469993893997 ~1983
4694773281686398 ~1984
46948211877928419 ~1986
469483193896637 ~1983
4694933281695998 ~1984
Exp. Prime Factor Digits Year
4695107375608578 ~1985
4695731375658498 ~1985
46957971126991299 ~1986
4695797116455765710
469585193917037 ~1983
469586393917277 ~1983
4695919469591918 ~1985
4695947375675778 ~1985
469603193920637 ~1983
4696093281765598 ~1984
4696177281770638 ~1984
469627193925437 ~1983
46963271127118499 ~1986
469637993927597 ~1983
46966391972588399 ~1986
46966911221139679 ~1986
4696711469671118 ~1985
469682393936477 ~1983
4697081281824878 ~1984
4697141375771298 ~1985
4697177281830638 ~1984
4697257281835438 ~1984
4697377281842638 ~1984
4698007469800718 ~1985
469805993961197 ~1983
671
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25-11-17