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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
6850913131537529710
6850997115096749710 ~1989
6851081411064878 ~1986
6851101411066078 ~1986
6851231137024638 ~1984
6851441548115298 ~1986
6851639137032798 ~1984
6851639482355385710
68516591233298639 ~1987
6851773411106398 ~1986
6851783137035678 ~1984
6851963137039278 ~1984
6852019685201918 ~1986
6852151685215118 ~1986
6852239137044798 ~1984
6852311137046238 ~1984
6852401548192098 ~1986
6852641411158478 ~1986
6852779548222338 ~1986
6852803137056078 ~1984
6853169542770984910 ~1991
6853181411190878 ~1986
6853391137067838 ~1984
6853501411210078 ~1986
6853663685366318 ~1986
Exp. Prime Factor Digits Year
6854173411250398 ~1986
6854219137084398 ~1984
6854423137088478 ~1984
6854681548374498 ~1986
6854891137097838 ~1984
6854951137099038 ~1984
6855059548404738 ~1986
6855221548417698 ~1986
6855293411317598 ~1986
6855313411318798 ~1986
6855419137108398 ~1984
6855451685545118 ~1986
68555932193789779 ~1987
6855707548456578 ~1986
6855887548470978 ~1986
6855899137117998 ~1984
6855923137118478 ~1984
6856517411391038 ~1986
6856523137130478 ~1984
6856693411401598 ~1986
6856781548542498 ~1986
6856973411418398 ~1986
6857051548564098 ~1986
6857143685714318 ~1986
6857489548599138 ~1986
Exp. Prime Factor Digits Year
68575671782967439 ~1987
6857821411469278 ~1986
6858149548651938 ~1986
6858179137163598 ~1984
68583311234499599 ~1987
6858479137169598 ~1984
6859031137180638 ~1984
6859103137182078 ~1984
6859199548735938 ~1986
6859241411554478 ~1986
68592711234668799 ~1987
6859379137187598 ~1984
6859679137193598 ~1984
6859691137193838 ~1984
6859739137194798 ~1984
68603411509275039 ~1987
6860573411634398 ~1986
6860663137213278 ~1984
68608392881552399 ~1988
6860963137219278 ~1984
6861119137222398 ~1984
6861203137224078 ~1984
6861311137226238 ~1984
6861377960592798 ~1986
6861809548944738 ~1986
Exp. Prime Factor Digits Year
68619471646867299 ~1987
6862217548977378 ~1986
68624032882209279 ~1988
6862451137249038 ~1984
6862571137251438 ~1984
6862643137252878 ~1984
6862991137259838 ~1984
6863063137261278 ~1984
6863117411787038 ~1986
6863141411788478 ~1986
6863317411799038 ~1986
6863383912829939110 ~1991
6863471137269438 ~1984
6863513411810798 ~1986
6863669960913678 ~1986
6863711137274238 ~1984
6863723137274478 ~1984
6863771137275438 ~1984
6863819137276398 ~1984
6863891137277838 ~1984
6863897411833838 ~1986
6863953411837198 ~1986
6864089549127138 ~1986
68641271235542879 ~1987
6864239137284798 ~1984
817
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25-04-13