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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
51646092479012339 ~1987
5164897309893838 ~1985
5165113309906798 ~1985
5165123103302478 ~1983
5165423103308478 ~1983
5165519103310398 ~1983
5165591103311838 ~1983
5165647516564718 ~1985
51656877128648079 ~1988
51658337438799539 ~1988
5165939103318798 ~1983
51659472066378819 ~1987
5166061309963678 ~1985
5166101309966078 ~1985
5166131103322638 ~1983
5166179413294338 ~1985
51663233409773199 ~1987
5166383103327678 ~1983
5166391929950398 ~1986
5166527413322178 ~1985
5166541309992478 ~1985
5167081310024878 ~1985
5167163103343278 ~1983
51672131550163919 ~1986
5167367413389378 ~1985
Exp. Prime Factor Digits Year
51674712170337839 ~1987
51677411136903039 ~1986
5167907413432578 ~1985
5167937310076238 ~1985
5168129413450338 ~1985
5168147413451778 ~1985
51683776202052419 ~1988
5168389160220059110 ~1989
5168623826979698 ~1986
5168711103374238 ~1983
5168837310130238 ~1985
51688691550660719 ~1986
51690233411555199 ~1987
51690611137193439 ~1986
5169137413530978 ~1985
5169299103385998 ~1983
5169401310164078 ~1985
51697931240750339 ~1986
51698331240759939 ~1986
5169907516990718 ~1985
5169961310197678 ~1985
5170001310200078 ~1985
5170181310210878 ~1985
5170271103405438 ~1983
5170283103405678 ~1983
Exp. Prime Factor Digits Year
51702831240867939
5170463103409278 ~1983
5170519517051918 ~1985
5170559930700638 ~1986
5170577723880798 ~1985
51706731654615379 ~1986
5170727930730878 ~1986
5170751103415038 ~1983
51711233826631039 ~1987
51711291241070979 ~1986
5171279413702338 ~1985
5171381413710498 ~1985
5171461827433778 ~1986
5171753724045438 ~1985
5171801310308078 ~1985
51718391241241379 ~1986
5171843103436878 ~1983
5171951103439038 ~1983
5172017724082398 ~1985
5172073827531698 ~1986
5172221413777698 ~1985
5172239103444798 ~1983
5172287413782978 ~1985
5172383103447678 ~1983
5172407413792578 ~1985
Exp. Prime Factor Digits Year
5172457310347438 ~1985
5172553827608498 ~1986
5172571517257118 ~1985
5172659103453198 ~1983
5172851103457038 ~1983
5172899103457998 ~1983
5173193310391598 ~1985
5173211103464238 ~1983
5173241310394478 ~1985
5173319103466398 ~1983
5173331103466638 ~1983
5173829413906338 ~1985
5173859103477198 ~1983
5174003103480078 ~1983
5174047517404718 ~1985
5174219103484398 ~1983
5174243103484878 ~1983
5174399103487998 ~1983
5174419517441918 ~1985
5174423103488478 ~1983
5174461310467678 ~1985
5174473310468398 ~1985
5174531103490638 ~1983
51748871241972899 ~1986
5174959517495918 ~1985
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