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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
82865695137672799 ~1989
8286671165733438 ~1985
8286683165733678 ~1985
8286731165734638 ~1985
8287271165745438 ~1985
8287339828733918 ~1987
8287711828771118 ~1987
82877171326034739 ~1987
8287723828772318 ~1987
8287817497269038 ~1986
8287871663029698 ~1987
8288057663044578 ~1987
82880813149470799 ~1988
8288183165763678 ~1985
8288353497301198 ~1986
8288459165769198 ~1985
8288543165770878 ~1985
8288587828858718 ~1987
8288681497320878 ~1986
8288977497338638 ~1986
8289023165780478 ~1985
8289101663128098 ~1987
8289383165787678 ~1985
8289419165788398 ~1985
8289581497374878 ~1986
Exp. Prime Factor Digits Year
8289587663166978 ~1987
8289647663171778 ~1987
8289731165794638 ~1985
8289767663181378 ~1987
8290043165800878 ~1985
82900431989610339
8290151165803038 ~1985
8290319165806398 ~1985
8290427663234178 ~1987
8290559165811198 ~1985
8290643165812878 ~1985
8290861497451678 ~1986
8290901497454078 ~1986
8290907663272578 ~1987
8291099165821998 ~1985
8291113497466798 ~1986
8291237663298978 ~1987
8291357497481438 ~1986
8291401497484078 ~1986
8291573497494398 ~1986
8291681497500878 ~1986
8291813497508798 ~1986
8292001497520078 ~1986
8292023165840478 ~1985
8292079829207918 ~1987
Exp. Prime Factor Digits Year
8292217497533038 ~1986
8292247829224718 ~1987
8292359165847198 ~1985
8292503165850078 ~1985
82926713482921839 ~1988
8292707663416578 ~1987
8292737497564238 ~1986
8292941497576478 ~1986
8293057497583438 ~1986
8293223165864478 ~1985
8293283165865678 ~1985
8293511663480898 ~1987
8293619165872398 ~1985
82938294478667679 ~1989
8294171165883438 ~1985
8294183165883678 ~1985
8294339165886798 ~1985
8294411165888238 ~1985
8294437497666238 ~1986
8294483165889678 ~1985
8294543165890878 ~1985
8294617497677038 ~1986
82947291161262079 ~1987
8294879165897598 ~1985
8294999165899998 ~1985
Exp. Prime Factor Digits Year
8295137199083288110 ~1990
8295179165903598 ~1985
82951791493132239
8295239165904798 ~1985
8295557663644578 ~1987
8295697701815966310 ~1991
8296199165923998 ~1985
8296259165925198 ~1985
8296333497779998 ~1986
8296397497783838 ~1986
8296439165928798 ~1985
82965713484559839 ~1988
82966491161530879 ~1987
82966571327465139 ~1987
8296751165935038 ~1985
82968531991244739 ~1988
8296919165938398 ~1985
82970271991286499 ~1988
8297143829714318 ~1987
8297171165943438 ~1985
8297279165945598 ~1985
8297437104547706310 ~1989
8297519165950398 ~1985
8297537663802978 ~1987
8297789663823138 ~1987
979
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26-10-25