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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
8292217497533038 ~1986
8292359165847198 ~1985
8292503165850078 ~1985
82926713482921839 ~1988
8292707663416578 ~1986
8292737497564238 ~1986
8292941497576478 ~1986
8293057497583438 ~1986
8293223165864478 ~1985
8293283165865678 ~1985
8293511663480898 ~1986
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
8295137199083288110 ~1990
Exp. Prime Factor Digits Year
8295179165903598 ~1985
8295239165904798 ~1985
8295557663644578 ~1986
8295697701815966310 ~1991
8296199165923998 ~1985
8296259165925198 ~1985
8296333497779998 ~1986
8296397497783838 ~1986
8296439165928798 ~1985
82966491161530879 ~1987
82966571327465139 ~1987
8296751165935038 ~1985
82968531991244739 ~1988
8296919165938398 ~1985
82970271991286499 ~1988
8297171165943438 ~1985
8297279165945598 ~1985
8297437104547706310 ~1989
8297519165950398 ~1985
8297537663802978 ~1986
8297789663823138 ~1986
8298071165961438 ~1985
82982891991589379 ~1988
8298539165970798 ~1985
8298847829884718 ~1987
Exp. Prime Factor Digits Year
82991691161883679 ~1987
8299259663940738 ~1986
8299931663994498 ~1986
8300057664004578 ~1986
8300393498023598 ~1986
83007532656240979 ~1988
8300801664064098 ~1986
8301179166023598 ~1985
83014631328234099 ~1987
8301877498112638 ~1986
8302403166048078 ~1985
83024473320978819 ~1988
8302499166049998 ~1985
8302571166051438 ~1985
8302577498154638 ~1986
8302733498163998 ~1986
8302799166055998 ~1985
83030411826669039 ~1988
8303111166062238 ~1985
83031171162436399 ~1987
8303447664275778 ~1986
8303723166074478 ~1985
8303843166076878 ~1985
8303957498237438 ~1986
83045991494827839 ~1987
Exp. Prime Factor Digits Year
8304671166093438 ~1985
8304797498287838 ~1986
8305039830503918 ~1987
83051599467881279 ~1989
83052671328842739 ~1987
8305499166109998 ~1985
8305567830556718 ~1987
8305573498334398 ~1986
8305813498348798 ~1986
8305901664472098 ~1986
8306201664496098 ~1986
8306273498376398 ~1986
8306423166128478 ~1985
8306699664535938 ~1986
8306717498403038 ~1986
8307001498420078 ~1986
83070011827540239
83074699968962819 ~1989
8307571830757118 ~1987
83077871329245939 ~1987
8307863166157278 ~1985
8307983166159678 ~1985
8308103166162078 ~1985
8308271166165438 ~1985
83084831329357299 ~1987
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