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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
8746399874639918 ~1987
87463991574351839
8746733524803998 ~1986
8746757524805438 ~1986
8746799174935998 ~1985
8747159174943198 ~1985
8747243174944878 ~1985
8747423174948478 ~1985
8748011174960238 ~1985
8748167699853378 ~1987
8748263174965278 ~1985
8748331874833118 ~1987
8748359174967198 ~1985
8748881699910498 ~1987
8749141524948478 ~1986
8749199699935938 ~1987
87492431637858289711 ~1993
8749457699956578 ~1987
87494571224923999
8749589699967138 ~1987
8749991174999838 ~1985
8750171700013698 ~1987
8750551140008816110 ~1990
8750771175015438 ~1985
8750831175016638 ~1985
Exp. Prime Factor Digits Year
8750857525051438 ~1986
8750891700071298 ~1987
8750941525056478 ~1986
8750957525057438 ~1986
8751097525065838 ~1986
8751251700100098 ~1987
8751341700107298 ~1987
8751557700124578 ~1987
8752031175040638 ~1985
8752273525136398 ~1986
8752361525141678 ~1986
8752561525153678 ~1986
8752619175052398 ~1985
8752619700209538
8752741525164478 ~1986
8752871175057438 ~1985
8753023875302318 ~1987
87533691225471679 ~1987
87535311575635599 ~1988
8753603175072078 ~1985
8753999175079998 ~1985
8754131175082638 ~1985
8754131700330498
87545872276192639 ~1988
8754883875488318 ~1987
Exp. Prime Factor Digits Year
8755031175100638 ~1985
8755381525322878 ~1986
8755991175119838 ~1985
8756063175121278 ~1985
8756393525383598 ~1986
8756401525384078 ~1986
8756437525386238 ~1986
8756557525393438 ~1986
8756591175131838 ~1985
87569832101675939 ~1988
8757041525422478 ~1986
8757263175145278 ~1985
8757713525462798 ~1986
8757851175157038 ~1985
8758157525489438 ~1986
87581711401307379 ~1987
8758199175163998 ~1985
8758201525492078 ~1986
8758229700658338 ~1987
8758577700686178 ~1987
8758583175171678 ~1985
8758637525518238 ~1986
8758733525523998 ~1986
8759183175183678 ~1985
8759279175185598 ~1985
Exp. Prime Factor Digits Year
87593532627805919 ~1988
8759357700748578 ~1987
8759603175192078 ~1985
8759657525579438 ~1986
8759771175195438 ~1985
8759843175196878 ~1985
8759867700789378 ~1987
8759921525595278 ~1986
8759951175199038 ~1985
8760307876030718 ~1987
87603371401653939 ~1987
8760419700833538 ~1987
8760421525625278 ~1986
8760623175212478 ~1985
8760701525642078 ~1986
8760743175214878 ~1985
8761019175220398 ~1985
8761141525668478 ~1986
8761213525672798 ~1986
87613275081569679 ~1989
8761517700921378 ~1987
8761517112147417710
8761619175232398 ~1985
8762051175241038 ~1985
8762399175247998 ~1985
1011
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26-10-25