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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
51690611137193439 ~1986
5169137413530978 ~1985
5169299103385998 ~1983
5169401310164078 ~1985
51697931240750339 ~1986
51698331240759939 ~1986
5169907516990718 ~1985
5169961310197678 ~1985
5170001310200078 ~1985
5170181310210878 ~1985
5170271103405438 ~1983
5170283103405678 ~1983
51702831240867939
5170463103409278 ~1983
5170519517051918 ~1985
5170559930700638 ~1986
5170577723880798 ~1986
51706731654615379 ~1986
5170727930730878 ~1986
5170751103415038 ~1983
51711233826631039 ~1987
51711291241070979 ~1986
5171279413702338 ~1985
5171381413710498 ~1985
5171461827433778 ~1986
Exp. Prime Factor Digits Year
5171753724045438 ~1986
5171801310308078 ~1985
51718391241241379 ~1986
5171843103436878 ~1983
5171951103439038 ~1983
5172017724082398 ~1986
5172073827531698 ~1986
5172221413777698 ~1985
5172239103444798 ~1983
5172287413782978 ~1985
5172383103447678 ~1983
5172407413792578 ~1985
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
Exp. Prime Factor Digits Year
5174003103480078 ~1983
5174047517404718 ~1985
5174219103484398 ~1983
5174243103484878 ~1983
5174399103487998 ~1983
5174419517441918 ~1985
5174423103488478 ~1983
5174461310467678 ~1985
5174473310468398 ~1985
5174531103490638 ~1983
51748871241972899 ~1986
5174959517495918 ~1985
51750191242004579 ~1986
5175041310502478 ~1985
5175251103505038 ~1983
5175323103506478 ~1983
51754333312277139 ~1987
5175557414044578 ~1985
51757212070288419 ~1987
51757271242174499 ~1986
5175839931651038 ~1986
5176091103521838 ~1983
5176187414094978 ~1985
5176387517638718 ~1985
5176511103530238 ~1983
Exp. Prime Factor Digits Year
5176631103532638 ~1983
5176667931800078 ~1986
5177059517705918 ~1985
51771191760220479 ~1986
51772031760249039 ~1986
5177351103547038 ~1983
5177363103547278 ~1983
5177441414195298 ~1985
5177477310648638 ~1985
5177551931959198 ~1986
5177701310662078 ~1985
5177971517797118 ~1985
5177971932034798
5178083103561678 ~1983
5178143103562878 ~1983
5178661310719678 ~1985
5178923103578478 ~1983
5179103103582078 ~1983
5179649725150878 ~1986
5179859103597198 ~1983
5180137310808238 ~1985
5180159103603198 ~1983
5180243103604878 ~1983
5180341310820478 ~1985
5180459103609198 ~1983
718
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26-02-08