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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
6797057543764578 ~1986
6797111135942238 ~1984
67971111223479999
6797257407835438 ~1986
6797293407837598 ~1986
6797317407839038 ~1986
6797579135951598 ~1984
6797743679774318 ~1986
6797963135959278 ~1984
6798059135961198 ~1984
6798299135965998 ~1984
6798377407902638 ~1986
6798413407904798 ~1986
6798763679876318 ~1986
6798797407927838 ~1986
6799033407941998 ~1986
6799109543928738 ~1986
6799139135982798 ~1984
6799159679915918 ~1986
6799313407958798 ~1986
67993271223878879 ~1987
6799781407986878 ~1986
6799937407996238 ~1986
6799993407999598 ~1986
6800251680025118 ~1986
Exp. Prime Factor Digits Year
6800279544022338 ~1986
6800291136005838 ~1984
6800317408019038 ~1986
6800639136012798 ~1984
68006834488450799 ~1988
6800903136018078 ~1984
6800999136019998 ~1984
6801023136020478 ~1984
6801143136022878 ~1984
6801383136027678 ~1984
6801407544112578 ~1986
6801577408094638 ~1986
6801761544140898 ~1986
6801923136038478 ~1984
6801961408117678 ~1986
6802039680203918 ~1986
6802093408125598 ~1986
68021111224379999 ~1987
6802121408127278 ~1986
6802217408133038 ~1986
6802259136045198 ~1984
68022831768593599 ~1987
6802331136046638 ~1984
6802343136046878 ~1984
6802541544203298 ~1986
Exp. Prime Factor Digits Year
68027511224495199 ~1987
6803053408183198 ~1986
6803473408208398 ~1986
6803711136074238 ~1984
6803903136078078 ~1984
6804043680404318 ~1986
6804689952656478 ~1986
68050691633216579 ~1987
68051095307985039 ~1988
6805181544414498 ~1986
6805283136105678 ~1984
6805441408326478 ~1986
6805489608410716710 ~1991
6805607544448578 ~1986
6805727163337448110 ~1989
6805879680587918 ~1986
6805943136118878 ~1984
68059871088957939 ~1987
6806099136121998 ~1984
6806363947445729710 ~1991
6806467680646718 ~1986
6806603136132078 ~1984
68067431089078899 ~1987
6806903136138078 ~1984
68069031769794799
Exp. Prime Factor Digits Year
6806957408417438 ~1986
6807683136153678 ~1984
68077392859250399 ~1988
68078411089254579 ~1987
6807883680788318 ~1986
6808097408485838 ~1986
68082294901924899 ~1988
6808643136172878 ~1984
6808717408523038 ~1986
6808861408531678 ~1986
6808927680892718 ~1986
6809213408552798 ~1986
6809531136190638 ~1984
6809903136198078 ~1984
6809921408595278 ~1986
6809981408598878 ~1986
6810143136202878 ~1984
6810203136204078 ~1984
6810263136205278 ~1984
6810281544822498 ~1986
6810437544834978 ~1986
6810653408639198 ~1986
6810767544861378 ~1986
6811037408662238 ~1986
6811073408664398 ~1986
840
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25-12-14