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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
2759087220726978 ~1983
2759137662192898 ~1984
275923155184637 ~1981
2759293607044478 ~1984
2759299275929918 ~1983
2759453165567198 ~1982
275948355189677 ~1981
2759683938292238 ~1984
275972355194477 ~1981
2759761165585678 ~1982
275981955196397 ~1981
2759819496767438
275989155197837 ~1981
275995155199037 ~1981
2760019276001918 ~1983
2760061165603678 ~1982
276014355202877 ~1981
2760269220821538 ~1983
2760487441677938 ~1983
27605771269865439 ~1985
2760881165652878 ~1982
2760889607395598 ~1984
2761093165665598 ~1982
276115155223037 ~1981
2761153165669198 ~1982
Exp. Prime Factor Digits Year
27611534141729519
276116355223277 ~1981
2761567276156718 ~1983
276175155235037 ~1981
2762063662895138 ~1984
2762117220969378 ~1983
276218355243677 ~1981
2762233165733998 ~1982
2762267220981378 ~1983
2762351220988098 ~1983
276241155248237 ~1981
27627131989153379 ~1985
2762741165764478 ~1982
276275955255197 ~1981
2762779276277918 ~1983
2762861165771678 ~1982
2762939221035138 ~1983
27629411934058719 ~1985
2762951125990565710 ~1987
2762957221036578 ~1983
2763053165783198 ~1982
276311955262397 ~1981
2763133165787998 ~1982
2763169607897198 ~1984
276320355264077 ~1981
Exp. Prime Factor Digits Year
2763251884240338 ~1984
276331155266237 ~1981
2763331442132978 ~1983
2763413165804798 ~1982
2763577165814638 ~1982
2763617221089378 ~1983
2763659221092738 ~1983
2763811442209778 ~1983
276427155285437 ~1981
2764277165856638 ~1982
2764277221142178
2764423663461538 ~1984
2764499663479778 ~1984
2764819276481918 ~1983
2764847497672478 ~1984
2764891497680398 ~1984
2765093165905598 ~1982
2765117221209378 ~1983
2765173165910398 ~1982
2765173608338078
276521955304397 ~1981
2765227276522718 ~1983
2765251276525118 ~1983
2765333165919998 ~1982
2765387497769678 ~1984
Exp. Prime Factor Digits Year
276551955310397 ~1981
276557955311597 ~1981
2765591497806398 ~1984
2765953442552498 ~1983
276611955322397 ~1981
2766227221298178 ~1983
2766341829902318 ~1984
2766389221311138 ~1983
276655155331037 ~1981
276661155332237 ~1981
2766667276666718 ~1983
276667155333437 ~1981
2766713387339838 ~1983
2766901166014078 ~1982
2766979276697918 ~1983
2766997166019838 ~1982
2767157387401998 ~1983
2767229885513298 ~1984
2767361166041678 ~1982
2767529221402338 ~1983
2767561830268318 ~1984
2767573664217538 ~1984
2767603276760318 ~1983
27676273597915119 ~1986
276779955355997 ~1981
471
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25-05-04