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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 Dig. Year
39992425985979984851971912 ~2022
3999650995811304...83322316 2025
40002403931980004807863912 ~2022
4000560363131504...65368915 2026
40007085371980014170743912 ~2022
4000712276811560...79559115 2026
40008177097180016354194312 ~2022
40009313797180018627594312 ~2022
40010203699180020407398312 ~2022
4001032139639388...85575916 2026
4001059077912635...71152716 2026
4001095251771056...64672915 2025
40013410871980026821743912 ~2022
40015709263180031418526312 ~2022
40015960207180031920414312 ~2022
40016277443980032554887912 ~2022
40020761311180041522622312 ~2022
40024753856380049507712712 ~2022
4002653666894723...26930314 2026
4002730758499286...59696914 2025
40032954289180065908578312 ~2022
40033249058380066498116712 ~2022
40033376393980066752787912 ~2022
40034158513180068317026312 ~2022
40034345282380068690564712 ~2022
Exponent Prime Factor Dig. Year
40035575935180071151870312 ~2022
40037687065180075374130312 ~2022
40041257750380082515500712 ~2022
40045590203980091180407912 ~2022
4004578511091441...39924115 2025
40046194550380092389100712 ~2022
4005065151319051...41960714 2025
40051573603180103147206312 ~2022
40052876663980105753327912 ~2022
4005314884332491...80532715 2026
4005979102874566...77271914 2026
40070291096380140582192712 ~2022
40073693342380147386684712 ~2022
4007444316412725...51588115 2025
40075755089980151510179912 ~2022
40075979033980151958067912 ~2022
40077690341980155380683912 ~2022
4007791511171025...68595315 2025
40079053325980158106651912 ~2022
40079741633980159483267912 ~2022
40084415539180168831078312 ~2022
40089763183180179526366312 ~2022
40090990901980181981803912 ~2022
4009269711111956...90216915 2025
40092790165180185580330312 ~2022
Exponent Prime Factor Dig. Year
40094500789180189001578312 ~2022
40096948759180193897518312 ~2022
40100077607980200155215912 ~2022
40101441572380202883144712 ~2022
40102504580380205009160712 ~2022
4010397240779223...53771114 2025
40107391739980214783479912 ~2022
40109039149180218078298312 ~2022
4010948018696979...52520714 2025
40109694449980219388899912 ~2022
40111212727180222425454312 ~2022
40118096834380236193668712 ~2022
40120243910380240487820712 ~2022
40122464611180244929222312 ~2022
40125243613180250487226312 ~2022
4012598772418265...71164714 2025
40127655740380255311480712 ~2022
40136246737180272493474312 ~2022
40138552447180277104894312 ~2022
40139029735180278059470312 ~2022
40144181054380288362108712 ~2022
40145871722380291743444712 ~2022
4014659509697708...58604914 2025
40150073156380300146312712 ~2022
40150253699980300507399912 ~2022
Exponent Prime Factor Dig. Year
40150832249980301664499912 ~2022
40161211394380322422788712 ~2022
40164296618380328593236712 ~2022
40166694457180333388914312 ~2022
4016711620937712...12185714 2025
40175288815180350577630312 ~2022
4017599424292627...34856715 2025
40178124659980356249319912 ~2022
40179651404380359302808712 ~2022
40180327778380360655556712 ~2022
40187432027980374864055912 ~2022
40192316585980384633171912 ~2022
40193010338380386020676712 ~2022
40195168340380390336680712 ~2022
40199013649180398027298312 ~2022
40199051299180398102598312 ~2022
40207684448380415368896712 ~2022
40209119119180418238238312 ~2022
4020956934234905...59760714 2026
40211229731980422459463912 ~2022
40216886129980433772259912 ~2022
40217873456380435746912712 ~2022
40217913485980435826971912 ~2022
4022305348194826...78280115 2026
40224959351980449918703912 ~2022
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26-07-19