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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
7892953817963143630543312 ~2018
7893051031115786102062312 ~2016
7893300139763146401117712 ~2018
7893433493347360600959912 ~2017
7893610664315787221328712 ~2016
789396227893457...78158314 2023
7894298120315788596240712 ~2016
7894456109915788912219912 ~2016
7895546533115791093066312 ~2016
789583027399474...28680114 2026
7896907700315793815400712 ~2016
7896938064147381628384712 ~2017
7897473803915794947607912 ~2016
7897589855915795179711912 ~2016
7898793715747392762294312 ~2017
7899216637115798433274312 ~2016
7899501305915799002611912 ~2016
7900001915915800003831912 ~2016
7900078697915800157395912 ~2016
7900282640315800565280712 ~2016
7900674458963205395671312 ~2018
7900874780315801749560712 ~2016
790107281172401...34756914 2024
7901413775915802827551912 ~2016
7901455640315802911280712 ~2016
Exponent Prime Factor Dig. Year
7901593052315803186104712 ~2016
7901695406315803390812712 ~2016
7901819882315803639764712 ~2016
7902035570315804071140712 ~2016
7902572632163220581056912 ~2018
7902816072147416896432712 ~2017
7902992488147417954928712 ~2017
790340492773208...00646314 2024
7903826402315807652804712 ~2016
7904110801115808221602312 ~2016
7904258411915808516823912 ~2016
7904356559963234852479312 ~2018
7904553223115809106446312 ~2016
7905146155115810292310312 ~2016
7905368774963242950199312 ~2018
7905551678315811103356712 ~2016
7905938809115811877618312 ~2016
7906352252315812704504712 ~2016
7906929719915813859439912 ~2016
7907340737915814681475912 ~2016
7907420888315814841776712 ~2016
7907452435115814904870312 ~2016
7907660173115815320346312 ~2016
7907709596315815419192712 ~2016
7908004259347448025555912 ~2017
Exponent Prime Factor Dig. Year
7908128956163265031648912 ~2018
790824963233283...73309715 2023
7908356958147450141748712 ~2017
7908402677915816805355912 ~2016
7909595348315819190696712 ~2016
7909637858315819275716712 ~2016
7910283290963282266327312 ~2018
7910402305115820804610312 ~2016
7910509430315821018860712 ~2016
7910707556315821415112712 ~2016
7911442103963291536831312 ~2018
7911854497115823708994312 ~2016
7912140703115824281406312 ~2016
7912180719747473084318312 ~2017
7912278531179122785311112 ~2018
7912335842315824671684712 ~2016
7912450873115824901746312 ~2016
7912776524315825553048712 ~2016
7912853063915825706127912 ~2016
7913059759163304478072912 ~2018
7913370272315826740544712 ~2016
7913371393763306971149712 ~2018
7914749491115829498982312 ~2016
7915352605115830705210312 ~2016
7916206735763329653885712 ~2018
Exponent Prime Factor Dig. Year
7916232788315832465576712 ~2016
7916389545179163895451112 ~2018
7916546990963332375927312 ~2018
7916652560963333220487312 ~2018
7916825975915833651951912 ~2016
7917094076315834188152712 ~2016
7917383911747504303470312 ~2017
7917952147115835904294312 ~2016
7918510619347511063715912 ~2017
7918585318163348682544912 ~2018
7919460986315838921972712 ~2016
7919606537915839213075912 ~2016
7919826503915839653007912 ~2016
7919938697915839877395912 ~2016
7920253016315840506032712 ~2016
7920275977115840551954312 ~2016
7920461773115840923546312 ~2016
7920900164963367201319312 ~2018
7921851625979218516259112 ~2018
7922509970315845019940712 ~2016
7923101113115846202226312 ~2016
7923526402147541158412712 ~2017
7923572612315847145224712 ~2016
7923852248315847704496712 ~2016
7924004052147544024312712 ~2017
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26-02-08