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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
2901209232096738 ~1983
29013131334603999 ~1985
2901553870465918 ~1984
290171958034397 ~1981
290177958035597 ~1981
29018391392882739 ~1985
290191158038237 ~1981
2902049232163938 ~1983
2902171290217118 ~1983
2902217232177378 ~1983
290227158045437 ~1981
2902397406335598 ~1984
2902661174159678 ~1983
2902787522501678 ~1984
2902789638613598 ~1984
2902789696669378
290281158056237 ~1981
2903081174184878 ~1983
2903099232247938 ~1983
290336358067277 ~1981
2903639696873378 ~1984
2903777406528798 ~1984
2903933174235998 ~1983
2903933406550638
2904137232330978 ~1983
Exp. Prime Factor Digits Year
29041792613761119 ~1986
2904197174251838 ~1983
2904221174253278 ~1983
2904257697021698 ~1984
2904259522766638 ~1984
2904329232346338 ~1983
2904403464704498 ~1984
29044271684567679 ~1985
290449158089837 ~1981
2904557871367118 ~1984
2904667290466718 ~1983
2904689697125378 ~1984
290471958094397 ~1981
2905033174301998 ~1983
29050991162039619 ~1985
290513958102797 ~1981
290515158103037 ~1981
290516358103277 ~1981
29051631452581519
2905183290518318 ~1983
2905213639146878 ~1984
290531958106397 ~1981
2905393697294338 ~1984
2905433406760638 ~1984
290555958111197 ~1981
Exp. Prime Factor Digits Year
29056014358401519 ~1986
2905631755464078 ~1984
2905753464920498 ~1984
29057532963868079
2905901232472098 ~1983
2905919232473538 ~1983
2905921174355278 ~1983
2905961232476898 ~1983
2906153406861438 ~1984
2906153697476738
290615958123197 ~1981
290623158124637 ~1981
290627958125597 ~1981
2906291232503298 ~1983
290647158129437 ~1981
2906549232523938 ~1983
2906597232527778 ~1983
2906857174411438 ~1983
290695158139037 ~1981
2907089406992478 ~1984
290714358142877 ~1981
290741958148397 ~1981
290749158149837 ~1981
290756358151277 ~1981
2907601174456078 ~1983
Exp. Prime Factor Digits Year
29076493431025839 ~1986
2907677407074798 ~1984
2907857232628578 ~1983
290792358158477 ~1981
2908039290803918 ~1983
290815158163037 ~1981
2908183290818318 ~1983
2908261174495678 ~1983
2908261465321778
290831958166397 ~1981
2908567523542078 ~1984
290858358171677 ~1981
2908747523574478 ~1984
2908931232714498 ~1983
29089792152644479 ~1985
2909141174548478 ~1983
29091671163666819 ~1985
290924358184877 ~1981
290927958185597 ~1981
29094191862028179 ~1985
290951958190397 ~1981
2909617174577038 ~1983
290966358193277 ~1981
2909741232779298 ~1983
2909813174588798 ~1983
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