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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
87855192108524579 ~1988
8786171175723438 ~1985
8786429702914338 ~1987
8786611878661118 ~1987
87868311581629599 ~1988
8786957702956578 ~1987
8787017702961378 ~1987
8787431175748638 ~1985
8787491175749838 ~1985
8787503175750078 ~1985
87877492109059779 ~1988
87878091230293279 ~1987
87878111581805999 ~1988
8787893527273598 ~1986
8787979878797918 ~1987
8788037527282238 ~1986
8788477527308638 ~1986
8788523175770478 ~1985
8788957527337438 ~1986
8789041527342478 ~1986
8789057527343438 ~1986
8789279175785598 ~1985
8789579703166338 ~1987
8789843175796878 ~1985
8789939175798798 ~1985
Exp. Prime Factor Digits Year
8789999175799998 ~1985
8790413527424798 ~1986
8790473527428398 ~1986
87905572109733699 ~1988
8790599175811998 ~1985
8790839175816798 ~1985
8791283175825678 ~1985
87912971406607539 ~1987
8791477527488638 ~1986
8791571175831438 ~1985
8791801527508078 ~1986
8791933527515998 ~1986
8792039175840798 ~1985
87920592110094179 ~1988
8792099175841998 ~1985
8792099703367938
8792123175842478 ~1985
8792293527537598 ~1986
8792351175847038 ~1985
8792401527544078 ~1986
8792603175852078 ~1985
8792657527559438 ~1986
8792821527569278 ~1986
8792891175857838 ~1985
8792963175859278 ~1985
Exp. Prime Factor Digits Year
8793041527582478 ~1986
8793149703451938 ~1987
8793193527591598 ~1986
8793227703458178 ~1987
87933971406943539 ~1987
87934313693241039 ~1988
8793439879343918 ~1987
8793479703478338 ~1987
8793671175873438 ~1985
8793839703507138 ~1987
87938713517548419 ~1988
87942674221248179 ~1989
8794501527670078 ~1986
8794561527673678 ~1986
8794613527676798 ~1986
8794631175892638 ~1985
87947573342007679 ~1988
87953271583158879 ~1988
8795483175909678 ~1985
87960011935120239 ~1988
87962532111100739 ~1988
8796503175930078 ~1985
8796581703726498 ~1987
8796611703728898 ~1987
8796659175933198 ~1985
Exp. Prime Factor Digits Year
8796757527805438 ~1986
8796863175937278 ~1985
8796923175938478 ~1985
87974892639246719 ~1988
8797553527853198 ~1986
8797571175951438 ~1985
8797777527866638 ~1986
8798171703853698 ~1987
8798459175969198 ~1985
8798473527908398 ~1986
8798633527917998 ~1986
8798813527928798 ~1986
8799017703921378 ~1987
8799503175990078 ~1985
87995217039616819 ~1989
8799611703968898 ~1987
8799671175993438 ~1985
8799779175995598 ~1985
8799887703990978 ~1987
8799911175998238 ~1985
8799977703998178 ~1987
8799997527999838 ~1986
8800019176000398 ~1985
8800523176010478 ~1985
8801129704090338 ~1987
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25-11-02