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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
533357771106671554310 ~1999
533385239106677047910 ~1999
533410763106682152710 ~1999
533428433320057059910 ~2000
533429011960172219910 ~2001
5334307693734015383111 ~2003
533448743106689748710 ~1999
533448983106689796710 ~1999
533461739106692347910 ~1999
533488223106697644710 ~1999
533498051106699610310 ~1999
533506763106701352710 ~1999
533510903106702180710 ~1999
533526083106705216710 ~1999
533530859106706171910 ~1999
533534957320120974310 ~2000
533551153320130691910 ~2000
533553983106710796710 ~1999
533581943106716388710 ~1999
533592877320155726310 ~2000
533611031106722206310 ~1999
533612363106722472710 ~1999
533631023106726204710 ~1999
533648443533648443110 ~2001
533652719106730543910 ~1999
Exponent Prime Factor Digits Year
533664587426931669710 ~2001
533697119106739423910 ~1999
533727011106745402310 ~1999
533729783106745956710 ~1999
533737871106747574310 ~1999
533741233320244739910 ~2000
533755499106751099910 ~1999
533770151106754030310 ~1999
533788019106757603910 ~1999
533790479106758095910 ~1999
533792249427033799310 ~2001
533812931106762586310 ~1999
533823539106764707910 ~1999
533835719106767143910 ~1999
533839739106767947910 ~1999
533845181427076144910 ~2001
533849417747389183910 ~2001
533864003106772800710 ~1999
533868239106773647910 ~1999
533882009747434812710 ~2001
533892617320335570310 ~2000
533899813854239700910 ~2001
533920741320352444710 ~2000
533920979106784195910 ~1999
533937119106787423910 ~1999
Exponent Prime Factor Digits Year
533944451106788890310 ~1999
533948339106789667910 ~1999
533985953320391571910 ~2000
533987171106797434310 ~1999
533989139106797827910 ~1999
534043619106808723910 ~1999
534066671106813334310 ~1999
534082841320449704710 ~2000
534087343534087343110 ~2001
534088343106817668710 ~1999
534093503106818700710 ~1999
534094751106818950310 ~1999
534117979534117979110 ~2001
534128519427302815310 ~2001
534143843106828768710 ~1999
534151991106830398310 ~1999
534174913320504947910 ~2000
5341827431282038583311 ~2002
534221903106844380710 ~1999
534224279106844855910 ~1999
534250217320550130310 ~2000
534259717320555830310 ~2000
534266683534266683110 ~2001
534276319534276319110 ~2001
534281459106856291910 ~1999
Exponent Prime Factor Digits Year
534286283106857256710 ~1999
534293003106858600710 ~1999
534310919106862183910 ~1999
534330059106866011910 ~1999
534331163106866232710 ~1999
534332971534332971110 ~2001
534344243106868848710 ~1999
534357443106871488710 ~1999
534409919106881983910 ~1999
534415019106883003910 ~1999
534463439106892687910 ~1999
534498203106899640710 ~1999
534540203106908040710 ~1999
534553991106910798310 ~1999
534562859106912571910 ~1999
5345830572138332228111 ~2002
534584051106916810310 ~1999
534587639106917527910 ~1999
534600191106920038310 ~1999
534627083106925416710 ~1999
5346561733742593211111 ~2003
534656357748518899910 ~2001
534661031106932206310 ~1999
534676379106935275910 ~1999
534677459106935491910 ~1999
3294
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25-07-08