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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
5259563105191278 ~1983
5259671105193438 ~1983
52596891262325379 ~1986
5259731105194638 ~1983
5260051526005118 ~1985
5260117315607038 ~1985
5260139420811138 ~1985
5260337315620238 ~1985
5260379420830338 ~1985
5260439105208798 ~1983
5260487420838978 ~1985
5260679105213598 ~1983
5260799420863938 ~1985
5260883105217678 ~1983
5260943105218878 ~1983
5261051105221038 ~1983
5261153315669198 ~1985
52612611999279199 ~1987
5261471105229438 ~1983
5261647947096478 ~1986
5261741315704478 ~1985
5261783105235678 ~1983
5261941841910578 ~1986
5262001315720078 ~1985
52623291683945299 ~1986
Exp. Prime Factor Digits Year
5262371105247438 ~1983
5262539105250798 ~1983
5262557736757998 ~1986
5262599105251998 ~1983
5262611421008898 ~1985
5262863105257278 ~1983
5263033842085298 ~1986
5263241315794478 ~1985
52634991684319699 ~1986
5263541315812478 ~1985
5263561315813678 ~1985
5263631421090498 ~1985
5263637421090978 ~1985
5263733315823998 ~1985
5264381315862878 ~1985
5264443842310898 ~1986
5264477737026798 ~1986
5264537315872238 ~1985
5264683526468318 ~1985
5264801421184098 ~1985
5265059105301198 ~1983
5265067526506718 ~1985
5265131105302638 ~1983
5265193315911598 ~1985
52651931158342479
Exp. Prime Factor Digits Year
5265473737166238 ~1986
5266031105320638 ~1983
5266271421301698 ~1985
5266441315986478 ~1985
5266673316000398 ~1985
5266799105335998 ~1983
5266883105337678 ~1983
5266907421352578 ~1985
5266979105339598 ~1983
52669971264079299 ~1986
52671592212206799 ~1987
52672571580177119 ~1986
5267323842771698 ~1986
5267519105350398 ~1983
5267711105354238 ~1983
52677835478494339 ~1988
5268031526803118 ~1985
5268083105361678 ~1983
5268119421449538 ~1985
5268121316087278 ~1985
5268257421460578 ~1985
5268437737581198 ~1986
5268551105371038 ~1983
5268671421493698 ~1985
5268743105374878 ~1983
Exp. Prime Factor Digits Year
5268779421502338 ~1985
5268899948401838 ~1986
5268937316136238 ~1985
5268953316137198 ~1985
5269079105381598 ~1983
5269111843057778 ~1986
5269259105385198 ~1983
52696036323523619 ~1988
5269787421582978 ~1985
5269867526986718 ~1985
52700292845815679 ~1987
5270129421610338 ~1985
5270183105403678 ~1983
5270537316232238 ~1985
5270567421645378 ~1985
5270767527076718 ~1985
5270773316246398 ~1985
52708214638322499 ~1987
5271179421694338 ~1985
5271319527131918 ~1985
52713231370543999 ~1986
5271401421712098 ~1985
5271463527146318 ~1985
52715571581467119 ~1986
5271599105431998 ~1983
703
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25-06-01