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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.
Exponent Prime Factor Digits Year
10410479208209598 ~1986
10410503208210078 ~1986
10410539208210798 ~1986
10410611208212238 ~1986
10410839832867138 ~1987
10411091208221838 ~1986
10411679208233598 ~1986
104117591041175919 ~1987
10411873624712398 ~1987
10412117832969378 ~1987
10412197624731838 ~1987
104121975622586399
10412903208258078 ~1986
10413253624795198 ~1987
10413497624809838 ~1987
10413839208276798 ~1986
10413863208277278 ~1986
10413899208277998 ~1986
104140391874527039 ~1988
10414073624844398 ~1987
10414139208282798 ~1986
10414199208283998 ~1986
104142471874564479 ~1988
10414583208291678 ~1986
10414751208295038 ~1986
Exponent Prime Factor Digits Year
10414753624885198 ~1987
10414763208295278 ~1986
104148911041489119 ~1987
104149331666389299 ~1988
10414979208299598 ~1986
10414991208299838 ~1986
104151791041517919 ~1987
104155391041553919 ~1987
10415903208318078 ~1986
10416023208320478 ~1986
104163613124908319 ~1989
10416383208327678 ~1986
10416431208328638 ~1986
10416491208329838 ~1986
104166431041664319 ~1987
10416671208333438 ~1986
10416977625018638 ~1987
10416977833358178
10417013625020798 ~1987
10417349833387938 ~1987
104173731458432239 ~1988
10417661625059678 ~1987
10417679208353598 ~1986
104182271666916339 ~1988
10418519208370398 ~1986
Exponent Prime Factor Digits Year
10418789833503138 ~1987
10418833625129998 ~1987
10418921625135278 ~1987
10419263208385278 ~1986
10419397625163838 ~1987
10419659208393198 ~1986
10419677625180638 ~1987
10420499208409998 ~1986
10420801625248078 ~1987
10421003208420078 ~1986
10421123208422478 ~1986
10421513625290798 ~1987
10421951208439038 ~1986
10422029833762338 ~1987
10422371208447438 ~1986
104226471876076479 ~1988
10422911208458238 ~1986
10423019208460398 ~1986
10423043208460878 ~1986
10423079208461598 ~1986
10423453625407198 ~1987
104235492293180799 ~1988
104236273544033199 ~1989
10424101625446078 ~1987
10424171208483438 ~1986
Exponent Prime Factor Digits Year
10424279208485598 ~1986
10424317723447599910 ~1992
10424471208489438 ~1986
10424501625470078 ~1987
10424699208493998 ~1986
104247792501946979 ~1988
10424951208499038 ~1986
10425101834008098 ~1987
10425161625509678 ~1987
10425277625516638 ~1987
10425839208516798 ~1986
10425983208519678 ~1986
104260334795975199 ~1989
10426043208520878 ~1986
10426523208530478 ~1986
104270591042705919 ~1987
10427159208543198 ~1986
10427189834175138 ~1987
10427297625637838 ~1987
104274791042747919 ~1987
104275131459851839 ~1988
10427759208555198 ~1986
10427957834236578 ~1987
10428419208568398 ~1986
10428503208570078 ~1986
1034
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25-04-13