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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
2813737168824238 ~1983
2813851281385118 ~1983
2814041900493138 ~1984
2814089225127138 ~1983
281441956288397 ~1981
281443156288637 ~1981
28145572195354479 ~1985
281459956291997 ~1981
2814817168889038 ~1983
281486356297277 ~1981
2814881168892878 ~1983
2814991281499118 ~1983
2815049394106878 ~1983
2815187225214978 ~1983
2815271225221698 ~1983
2815313394143838 ~1983
281533156306637 ~1981
2815331225226498
281569156313837 ~1981
28158772421654239 ~1985
2815973168958398 ~1983
2816239281623918 ~1983
2816269619579198 ~1984
281639956327997 ~1981
2816399225311938
Exp. Prime Factor Digits Year
281645956329197 ~1981
281651956330397 ~1981
2816633394328638 ~1983
2816701169002078 ~1983
2816899281689918 ~1983
281701156340237 ~1981
2817077676098498 ~1984
2817091507076398 ~1984
2817137676112898 ~1984
28172112535489919 ~1985
281723956344797 ~1981
281762356352477 ~1981
2817701169062078 ~1983
2817721450835378 ~1984
28180271803537299 ~1985
281810356362077 ~1981
2818103732706798
2818229225458338 ~1983
2818357169101438 ~1983
281839156367837 ~1981
2818411281841118 ~1983
2818429101463444110 ~1987
2818553169113198 ~1983
2818561450969778 ~1984
2818649225491938 ~1983
Exp. Prime Factor Digits Year
2818649845594718
2818817394634398 ~1983
2818867507396078 ~1984
281888356377677 ~1981
2818909620159998 ~1984
281905156381037 ~1981
2819143676594338 ~1984
28192031127681219 ~1985
2819407281940718 ~1983
2819681225574498 ~1983
281978356395677 ~1981
2819951507591198 ~1984
28199873214785199 ~1986
2820019282001918 ~1983
2820071733218478 ~1984
2820179225614338 ~1983
2820197169211838 ~1983
282026356405277 ~1981
2820373169222398 ~1983
2820553676932738 ~1984
28205534230829519
2820557169233438 ~1983
2820641169238478 ~1983
2820707225656578 ~1983
2820737225658978 ~1983
Exp. Prime Factor Digits Year
2820773394908238 ~1983
282080356416077 ~1981
2820863733424398 ~1984
2821459282145918 ~1983
2821543282154318 ~1983
2821607225728578 ~1983
2821733169303998 ~1983
2821769395047678 ~1983
282181156436237 ~1981
2821913903012178 ~1984
2821991225759298 ~1983
28220091523884879 ~1985
282215956443197 ~1981
2822213395109838 ~1983
2822263282226318 ~1983
2822411225792898 ~1983
2822503282250318 ~1983
2822543903213778 ~1984
2822579508064238 ~1984
2822609903234898 ~1984
2822669225813538 ~1983
2822713451634098 ~1984
2822717225817378 ~1983
282272356454477 ~1981
282281956456397 ~1981
494
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26-04-05