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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
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
8689433521365998 ~1986
8689451173789038 ~1985
Exp. Prime Factor Digits Year
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
8695079173901598 ~1985
8695207869520718 ~1987
Exp. Prime Factor Digits Year
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
8699039173980798 ~1985
8699051695924098 ~1987
Exp. Prime Factor Digits Year
86991432087794339 ~1988
8699219173984398 ~1985
8699279173985598 ~1985
86992791565870239
8699413521964798 ~1986
8699501521970078 ~1986
86999691217995679 ~1987
8700113522006798 ~1986
8700457522027438 ~1986
8700539174010798 ~1985
87008713654365839 ~1988
8701081522064878 ~1986
8701117522067038 ~1986
87011411392182579 ~1987
8701409696112738 ~1987
8701657522099438 ~1986
8701747870174718 ~1987
8701991174039838 ~1985
8702231174044638 ~1985
8702279174045598 ~1985
8702371870237118 ~1987
8702483174049678 ~1985
8702557522153438 ~1986
87027771218388799 ~1987
8702833522169998 ~1986
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25-07-08