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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
59449071070083279 ~1986
5945039118900798 ~1984
5945279118905598 ~1984
5945281356716878 ~1985
5945311951249778 ~1986
5945353951256498 ~1986
5945497309165844110 ~1990
5945677356740638 ~1985
59458871070259679 ~1986
5946023118920478 ~1984
5946119118922398 ~1984
5946337356780238 ~1985
5946497356789838 ~1985
5946569832519678 ~1986
5946623118932478 ~1984
5946869475749538 ~1985
5947043118940878 ~1984
5947079118941598 ~1984
5947147594714718 ~1986
5947163118943278 ~1984
5947211118944238 ~1984
5947273356836398 ~1985
5947379118947598 ~1984
5947451118949038 ~1984
5947499118949998 ~1984
Exp. Prime Factor Digits Year
5947679475814338 ~1985
5947979118959598 ~1984
5948399118967998 ~1984
5948483118969678 ~1984
5948699475895938 ~1985
5948711118974238 ~1984
5948867475909378 ~1985
5949143118982878 ~1984
5949149475931938 ~1985
5949239118984798 ~1984
5949481356968878 ~1985
5949539118990798 ~1984
59496731308928079 ~1986
5949751594975118 ~1986
5949791118995838 ~1984
5950027595002718 ~1986
5950379476030338 ~1985
5950379196362507110
5950397357023838 ~1985
5950463119009278 ~1984
5950621952099378 ~1986
5950823119016478 ~1984
59509499997594339 ~1989
59510512499441439 ~1987
5951063119021278 ~1984
Exp. Prime Factor Digits Year
59511891785356719 ~1987
5951321357079278 ~1985
5951663119033278 ~1984
5951761357105678 ~1985
5951843119036878 ~1984
5952041357122478 ~1985
5952113833295838 ~1986
5952131476170498 ~1985
5952697357161838 ~1985
59529711904950739 ~1987
5953139476251138 ~1985
5953169476253538 ~1985
5953427476274178 ~1985
5953523119070478 ~1984
59535671071642079 ~1986
5953603952576498 ~1986
59536032381441219
59538531428924739 ~1987
5953991119079838 ~1984
59539999645478399 ~1989
5954219119084398 ~1984
5954519119090398 ~1984
5954579119091598 ~1984
5954591267956595110 ~1990
5954917357295038 ~1985
Exp. Prime Factor Digits Year
5954939119098798 ~1984
5955337357320238 ~1985
5955359119107198 ~1984
5955671119113438 ~1984
5955959119119198 ~1984
5956031119120638 ~1984
5956151476492098 ~1985
5956199476495938 ~1985
5956213357372798 ~1985
5956493357389598 ~1985
5956543595654318 ~1986
5956739119134798 ~1984
5956787476542978 ~1985
5957261357435678 ~1985
5957411119148238 ~1984
59576172383046819 ~1987
5957723119154478 ~1984
5958089834132478 ~1986
59580891906588499
5958131476650498 ~1985
59581931310802479 ~1986
5958247953319538 ~1986
5958269834157678 ~1986
5958319595831918 ~1986
5958437476674978 ~1985
751
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25-04-13