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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
29022659580453198 ~1989
290226771741360639 ~1990
29023271580465438 ~1989
29023499580469998 ~1989
29023543121898880710 ~1992
29024063580481278 ~1989
290241292321930339 ~1991
29024531580490638 ~1989
29024543580490878 ~1989
29024783580495678 ~1989
29025071580501438 ~1989
29025959580519198 ~1989
29026451580529038 ~1989
29026559580531198 ~1989
290276572322212579 ~1991
29028011580560238 ~1989
29028071580561438 ~1989
29028119580562398 ~1989
29028491580569838 ~1989
290289971741739839 ~1990
29029163580583278 ~1989
290294531741767199 ~1990
290294536386479679
29029943580598878 ~1989
29030003580600078 ~1989
Exponent Prime Factor Digits Year
29030471580609438 ~1989
290306571741839439 ~1990
29031179580623598 ~1989
29031251580625038 ~1989
29031263580625278 ~1989
29032271580645438 ~1989
29032343580646878 ~1989
29032403580648078 ~1989
29033099580661998 ~1989
290332931741997599 ~1990
29033591580671838 ~1989
29034059580681198 ~1989
290342811742056879 ~1990
29034443580688878 ~1989
29034851580697038 ~1989
29035511580710238 ~1989
29035703580714078 ~1989
290357092322856739 ~1991
29036207139373793710 ~1993
29036363580727278 ~1989
290365336388037279 ~1992
29036831580736638 ~1989
29036939580738798 ~1989
29037251580745038 ~1989
29038283580765678 ~1989
Exponent Prime Factor Digits Year
29038571580771438 ~1989
29039123580782478 ~1989
29039303580786078 ~1989
29039891580797838 ~1989
29040059580801198 ~1989
29040983580819678 ~1989
29041163580823278 ~1989
29042483580849678 ~1989
29042603580852078 ~1989
290427011742562079 ~1990
29042879580857598 ~1989
29043359580867198 ~1989
29043923580878478 ~1989
29044259580885198 ~1989
290445412323563299 ~1991
29045063580901278 ~1989
290452272904522719 ~1991
290454472323635779 ~1991
290458331742749999 ~1990
29045963580919278 ~1989
290460112323680899 ~1991
29046071580921438 ~1989
29046299580925998 ~1989
29046851580937038 ~1989
29047439580948798 ~1989
Exponent Prime Factor Digits Year
29047871580957438 ~1989
290479811742878879 ~1990
29048003580960078 ~1989
290480692323845539 ~1991
29048171580963438 ~1989
29049131580982638 ~1989
29049539580990798 ~1989
29050523581010478 ~1989
29050643581012878 ~1989
29051003581020078 ~1989
290510896972261379 ~1992
29051303581026078 ~1989
29051831581036638 ~1989
29051843581036878 ~1989
290526192905261919 ~1991
29052671581053438 ~1989
29053259581065198 ~1989
29053319581066398 ~1989
29053499581069998 ~1989
29053523581070478 ~1989
29054243581084878 ~1989
29054339581086798 ~1989
29054783581095678 ~1989
29055311581106238 ~1989
29055443581108878 ~1989
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25-03-23