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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
8298071165961438 ~1985
82982891991589379 ~1988
8298539165970798 ~1985
8298847829884718 ~1987
82991691161883679 ~1987
8299259663940738 ~1987
8299931663994498 ~1987
8300057664004578 ~1987
8300393498023598 ~1986
8300683830068318 ~1987
83007412490222319 ~1988
83007532656240979 ~1988
8300801664064098 ~1987
8300863830086318 ~1987
8301179166023598 ~1985
83014631328234099 ~1987
8301877498112638 ~1986
8302403166048078 ~1985
83024473320978819 ~1988
8302499166049998 ~1985
8302571166051438 ~1985
8302577498154638 ~1986
8302733498163998 ~1986
8302781664222498 ~1987
8302799166055998 ~1985
Exp. Prime Factor Digits Year
83030411826669039 ~1988
8303111166062238 ~1985
83031171162436399 ~1987
8303447664275778 ~1987
8303723166074478 ~1985
8303843166076878 ~1985
8303957498237438 ~1986
8304209664336738 ~1987
8304259830425918 ~1987
83045991494827839 ~1987
8304671166093438 ~1985
8304797498287838 ~1986
8305039830503918 ~1987
83051599467881279 ~1989
83052671328842739 ~1987
8305499166109998 ~1985
8305567830556718 ~1987
8305573498334398 ~1986
8305813498348798 ~1986
8305901664472098 ~1987
8306201664496098 ~1987
8306273498376398 ~1986
8306423166128478 ~1985
8306491830649118 ~1987
8306699664535938 ~1987
Exp. Prime Factor Digits Year
8306717498403038 ~1986
8307001498420078 ~1986
83070011827540239
83071933322877219 ~1988
8307307830730718 ~1987
8307319830731918 ~1987
83074699968962819 ~1989
8307571830757118 ~1987
83077871329245939 ~1987
8307863166157278 ~1985
8307983166159678 ~1985
8308103166162078 ~1985
8308271166165438 ~1985
83084092492522719 ~1988
83084831329357299 ~1987
83084931163189039 ~1987
8308537498512238 ~1986
8308541664683298 ~1987
8308571664685698 ~1987
8308931166178638 ~1985
8309401498564078 ~1986
8309579166191598 ~1985
83095911495726399 ~1987
83098031329568499 ~1987
8310173498610398 ~1986
Exp. Prime Factor Digits Year
8310299166205998 ~1985
8310527664842178 ~1987
8310629664850338 ~1987
8310713498642798 ~1986
83111831994683939 ~1988
8311231831123118 ~1987
83113093324523619 ~1988
8311481498688878 ~1986
8311571166231438 ~1985
8311697664935778 ~1987
8311739664939138 ~1987
8311811166236238 ~1985
8312179831217918 ~1987
8312257498735438 ~1986
8312267664981378 ~1987
8312321664985698 ~1987
8312411166248238 ~1985
83124834156241519 ~1988
8312651665012098 ~1987
8312663166253278 ~1985
83129772493893119 ~1988
8313199831319918 ~1987
8313251166265038 ~1985
83133532660272979 ~1988
8313359166267198 ~1985
980
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26-10-25