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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
8680313520818798 ~1986
86803912777725139 ~1988
8680583173611678 ~1985
8680697520841838 ~1986
8680733520843998 ~1986
8680811173616238 ~1985
8680823173616478 ~1985
8681177694494178 ~1987
8681489694519138 ~1987
86821433646500079 ~1988
8682199868219918 ~1987
8682659173653198 ~1985
8682851173657038 ~1985
86832376078265919 ~1989
8683331173666638 ~1985
8683439173668798 ~1985
8683517521011038 ~1986
8683637521018238 ~1986
86836396252220099 ~1989
8684099173681998 ~1985
8684213521052798 ~1986
8684437521066238 ~1986
8684521521071278 ~1986
8684657521079438 ~1986
8684693521081598 ~1986
Exp. Prime Factor Digits Year
8684699173693998 ~1985
8684759173695198 ~1985
8684771173695438 ~1985
86850731910716079 ~1988
8685263173705278 ~1985
86856671389706739 ~1987
8685791173715838 ~1985
8685863173717278 ~1985
8685923173718478 ~1985
8686259173725198 ~1985
8686679173733598 ~1985
8687093521225598 ~1986
8687183173743678 ~1985
8687233521233998 ~1986
8687797521267838 ~1986
8687891173757838 ~1985
8688059173761198 ~1985
8688083173761678 ~1985
86882872258954639 ~1988
8688299173765998 ~1985
8688353521301198 ~1986
8688551173771038 ~1985
8688611173772238 ~1985
86886131911494879 ~1988
8689259173785198 ~1985
Exp. Prime Factor Digits Year
8689433521365998 ~1986
8689451173789038 ~1985
8689463173789278 ~1985
8689529695162338 ~1987
8689661695172898 ~1987
8689979173799598 ~1985
8690093521405598 ~1986
8690303173806078 ~1985
8690399173807998 ~1985
8690797521447838 ~1986
8691239173824798 ~1985
8691383173827678 ~1985
8691731173834638 ~1985
86919011390704179 ~1987
8692223173844478 ~1985
8692417521545038 ~1986
86924171390786739
86929612607888319 ~1988
8693263869326318 ~1987
8693687695494978 ~1987
8694551173891038 ~1985
8694683173893678 ~1985
86947671565058079 ~1988
8695061521703678 ~1986
86950696086548319 ~1989
Exp. Prime Factor Digits Year
8695079173901598 ~1985
8695207869520718 ~1987
8695213521712798 ~1986
8695343173906878 ~1985
8695663869566318 ~1987
8695859173917198 ~1985
8696063173921278 ~1985
8696161521769678 ~1986
8696321521779278 ~1986
8696561521793678 ~1986
8696617521797038 ~1986
8696711173934238 ~1985
86967673478706819 ~1988
8696939173938798 ~1985
8696999695759938 ~1987
8697097521825838 ~1986
86976131913474879 ~1988
86979372087504899 ~1988
8697971173959438 ~1985
8698223173964478 ~1985
8698253234852831110 ~1990
8698451173969038 ~1985
8698499173969998 ~1985
8698559173971198 ~1985
8698961695916898 ~1987
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