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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
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
29056014358401519 ~1986
2905631755464078 ~1984
2905753464920498 ~1984
29057532963868079
Exp. Prime Factor Digits Year
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
29076493431025839 ~1986
2907677407074798 ~1984
2907857232628578 ~1983
290792358158477 ~1981
Exp. Prime Factor Digits Year
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
2910073465611698 ~1984
2910209407429278 ~1984
2910461931347538 ~1984
2910487291048718 ~1983
Exp. Prime Factor Digits Year
2910709640355998 ~1984
2910749232859938 ~1983
291077958215597 ~1981
2910907698617698 ~1984
2910911232872898 ~1983
2910917407528398 ~1984
2910997465759538 ~1984
29110431222638079 ~1985
291121158224237 ~1981
2911211232896898
2911297465807538 ~1984
2911333640493278 ~1984
2911367524046078 ~1984
29114832096267779 ~1985
2911561465849778 ~1984
291187158237437 ~1981
2911901174714078 ~1983
2911901931808338
2912051757133278 ~1984
2912081232966498 ~1983
2912527990259198 ~1985
291269958253997 ~1981
291295158259037 ~1981
2913041174782478 ~1983
2913187699164898 ~1984
506
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26-05-03