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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
852954131170590826310 ~2001
852985633511791379910 ~2002
853028279170605655910 ~2001
853052393511831435910 ~2002
853062443170612488710 ~2001
853083577511850146310 ~2002
853083653511850191910 ~2002
853094591170618918310 ~2001
853096117511857670310 ~2002
853106939170621387910 ~2001
8531227333924364571911 ~2004
853153331170630666310 ~2001
8531686191535703514311 ~2003
853176539170635307910 ~2001
853179253511907551910 ~2002
853245719170649143910 ~2001
853247401511948440710 ~2002
853252259170650451910 ~2001
85325560719112925596912 ~2006
853270703170654140710 ~2001
853314971170662994310 ~2001
853315679170663135910 ~2001
853317161511990296710 ~2002
853345859170669171910 ~2001
853348763170669752710 ~2001
Exponent Prime Factor Digits Year
853377881512026728710 ~2002
853426043170685208710 ~2001
853472771170694554310 ~2001
8535031072219108078311 ~2003
853510103170702020710 ~2001
853530439853530439110 ~2002
8535481314097031028911 ~2004
853553951170710790310 ~2001
853557179170711435910 ~2001
853568819170713763910 ~2001
853579211170715842310 ~2001
85358114920485947576112 ~2006
853600031170720006310 ~2001
853653491170730698310 ~2001
853658843170731768710 ~2001
8537074931365931988911 ~2003
853735139170747027910 ~2001
853753403170750680710 ~2001
853755107683004085710 ~2002
8537897711366063633711 ~2003
8537916371366066619311 ~2003
853800191170760038310 ~2001
853811771170762354310 ~2001
853818961512291376710 ~2002
853828271170765654310 ~2001
Exponent Prime Factor Digits Year
853835519170767103910 ~2001
853871411170774282310 ~2001
853873717512324230310 ~2002
853890083170778016710 ~2001
853893143170778628710 ~2001
853895639170779127910 ~2001
853898603170779720710 ~2001
853900787683120629710 ~2002
853938731170787746310 ~2001
853960463170792092710 ~2001
853982159170796431910 ~2001
853988819170797763910 ~2001
8540147572562044271111 ~2004
854041823170808364710 ~2001
854043119170808623910 ~2001
854050979170810195910 ~2001
854062091170812418310 ~2001
8540635191537314334311 ~2003
854068679170813735910 ~2001
854076323170815264710 ~2001
854094959170818991910 ~2001
854103119170820623910 ~2001
854105699170821139910 ~2001
854138401512483040710 ~2002
854185571170837114310 ~2001
Exponent Prime Factor Digits Year
854196251170839250310 ~2001
854221799170844359910 ~2001
854224751170844950310 ~2001
8542363211366778113711 ~2003
854249339170849867910 ~2001
854290499170858099910 ~2001
854309591170861918310 ~2001
8543437032904768590311 ~2004
854347211170869442310 ~2001
854350163170870032710 ~2001
854401043170880208710 ~2001
8544192111537954579911 ~2003
854449679170889935910 ~2001
854454479170890895910 ~2001
854466059170893211910 ~2001
854480699170896139910 ~2001
854486471170897294310 ~2001
854489543170897908710 ~2001
854511397512706838310 ~2002
854519411170903882310 ~2001
854522441512713464710 ~2002
854550751854550751110 ~2002
854554499683643599310 ~2002
854597279170919455910 ~2001
854604071170920814310 ~2001
3640
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25-11-02