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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
852429497511457698310 ~2002
852432671170486534310 ~2001
852499871170499974310 ~2001
852513443170502688710 ~2001
852535811170507162310 ~2001
852542291170508458310 ~2001
852555923170511184710 ~2001
852595811170519162310 ~2001
852614783170522956710 ~2001
852618839170523767910 ~2001
852621683170524336710 ~2001
852629537511577722310 ~2002
852649991170529998310 ~2001
852653843170530768710 ~2001
852654107682123285710 ~2002
852657419170531483910 ~2001
852694379170538875910 ~2001
852740279170548055910 ~2001
852745451170549090310 ~2001
852760757682208605710 ~2002
852773477511664086310 ~2002
8527846332558353899111 ~2004
852793133511675879910 ~2002
852800603170560120710 ~2001
852805703170561140710 ~2001
Exponent Prime Factor Digits Year
852808427682246741710 ~2002
852808679170561735910 ~2001
8528247171193954603911 ~2003
852858683170571736710 ~2001
852860843170572168710 ~2001
852862391682289912910 ~2002
852907043170581408710 ~2001
852945623170589124710 ~2001
852946019170589203910 ~2001
852952559170590511910 ~2001
852954131170590826310 ~2001
852985633511791379910 ~2002
853028279170605655910 ~2001
853052393511831435910 ~2002
853062443170612488710 ~2001
853083653511850191910 ~2002
853094591170618918310 ~2001
853096117511857670310 ~2002
853106939170621387910 ~2001
8531227333924364571911 ~2004
853153331170630666310 ~2001
8531686191535703514311 ~2003
853176539170635307910 ~2001
853179253511907551910 ~2002
853245719170649143910 ~2001
Exponent Prime Factor Digits Year
853247401511948440710 ~2002
853252259170650451910 ~2001
85325560719112925596912 ~2006
853270703170654140710 ~2001
853315679170663135910 ~2001
853317161511990296710 ~2002
853345859170669171910 ~2001
853348763170669752710 ~2001
853377881512026728710 ~2002
853426043170685208710 ~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
Exponent Prime Factor Digits Year
853755107683004085710 ~2002
8537897711366063633711 ~2003
8537916371366066619311 ~2003
853800191170760038310 ~2001
853811771170762354310 ~2001
853818961512291376710 ~2002
853828271170765654310 ~2001
853835519170767103910 ~2001
853871411170774282310 ~2001
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
3513
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25-07-20