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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
2975393416555038 ~1984
2975501238040098 ~1983
2975593476094898 ~1984
29756893035202799 ~1986
2975813416613838 ~1984
29760535416416479 ~1986
297620359524077 ~1982
29762216233...201151895932 1997
2976247535724478 ~1984
2976601178596078 ~1983
2976691476270578 ~1984
297673159534637 ~1982
2976797178607838 ~1983
297697159539437 ~1982
2977003476320498 ~1984
2977021178621278 ~1983
2977067238165378 ~1983
297715159543037 ~1982
297725959545197 ~1982
2977409238192738 ~1983
2977537178652238 ~1983
297767959553597 ~1982
2977727238218178 ~1983
2977831536009598 ~1984
2977937178676238 ~1983
Exp. Prime Factor Digits Year
2977963476474098 ~1984
297797959559597 ~1982
2978071297807118 ~1983
2978113655184878 ~1984
2978189238255138 ~1983
2978197714767298 ~1984
297830359566077 ~1982
2978317178699038 ~1983
2978323297832318 ~1983
2978453416983438 ~1984
297848359569677 ~1982
2978501238280098 ~1983
297854359570877 ~1982
297881959576397 ~1982
2978917178735038 ~1983
297902359580477 ~1982
29791391012907279 ~1985
2979271476683378 ~1984
2979329417106078 ~1984
297941959588397 ~1982
2979541178772478 ~1983
2979541476726578
297956359591277 ~1982
2979661178779678 ~1983
2979661476745778
Exp. Prime Factor Digits Year
2979841178790478 ~1983
297986359597277 ~1982
2979917178795038 ~1983
2980193894057918 ~1984
2980261476841778 ~1984
2980291536452398 ~1984
2980297178817838 ~1983
298031959606397 ~1982
2980333178819998 ~1983
298040359608077 ~1982
29804211132559999 ~1985
2980469238437538 ~1983
298058359611677 ~1982
2980687298068718 ~1983
2980723298072318 ~1983
2980811238464898 ~1983
2980819536547438 ~1984
29808191728875039
2980829238466338 ~1983
2980843298084318 ~1983
298093159618637 ~1982
2980931238474498
2981057178863438 ~1983
298133959626797 ~1982
2981357238508578 ~1983
Exp. Prime Factor Digits Year
2981399238511938 ~1983
2981401178884078 ~1983
298148359629677 ~1982
2981597417423598 ~1984
298171159634237 ~1982
2981753178905198 ~1983
2981773477083698 ~1984
2981897178913838 ~1983
29818994830676399 ~1986
298196359639277 ~1982
29819818588105299 ~1987
2982097178925838 ~1983
29822812862989779 ~1986
2982283298228318 ~1983
298243159648637 ~1982
298244359648877 ~1982
298249159649837 ~1982
2982491238599298
29824911968444079
2982521238601698 ~1983
29825211670211779
2982643477222898 ~1984
298265959653197 ~1982
298267159653437 ~1982
2982689417576478 ~1984
493
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25-04-13