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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000005243737724 3,323 digits created 2023-10-29

Value

78317763648992266214901854603043249962082027442777578921373854340347628517386415790981106655299844832319169686949926338940293597237258360579454231985940449227621822146050392658058686212225953180484838614235683331185093515699845837961570399496799308766652307800469504551561231940924860888687410471427256270390339322522526091327015011933299356135778486823821600825970398037314804698890161175215210876739761774541932243000776472360713163746521270675334969077865197287380837488868488391672356830011657592680948521880155055983391577512992226225211625630317009145310182357002650737122514202000530216660330404388750406205676874358416236848703956966221952821947861562592923547651547760231385374099699043101904751749575540333561728449898092814720034814461567099768931795307768673786299641378717946897501548287369275560180048350147009515155278734540291083630419983952340805706100873186286141677221102440346539352144560348562428138556794839370270510333440533186668066034906314400456290954730765826458950047591863615150825618220035926892464642178541847279137951927197932064573916716631082203009391705246301548642359479057684467625936497643508820821143675019801333453604377748198125352023925121421821538712594105847776175070565384963313473514366800647135612719544739209950625225697907398378390821848607387793468288437926434994354924139541460299452939621763957512409707438445231451741267737164637687070353099265941966749346971755950208891775411182909509263986518302867095810015856704501702773161188982593132680412942177346402531111153672713957854101853063595002036582682617640539045478036737598759952933805163247479541632519043341132243679978039029206210315851411532448435667761130616893353123680687557336949083133615233771947527439545704037133164795108941859975893863383749632361150727157971329279844719216760515161524927503088222654921602548183504536820159742367536444142021047551670045480426131319703171187183722798082344970773193547915862764116066069898860109191404471713006803261427511969987518447481022851130816606665366192586027636352459657563229229226378371669405283992565480848653981576697096222518778489250295298830376636762764680167029537320299164231993110973938734033747258548996041316971152364483065090197100119376542602908011856824274288001854469243333630981880304269573710508271806249373844559010855716702912226046934394723878305152815513766920930166125266655430659270304561228372100123029208908019849125223916995904773909863508206437115158336892920880695536603688358765450703632310163689807449523799479452585665478656140628647273056778651219641896223682219075962904801279419452154629759731186306643484908296669948506408781089572881195822896179298958353330460901860084145054783019634309859087593013354306358114466495481545623518270705261178943110464750046204798151074466209410003249727162988797504816227617113746738634605513255493468305429206575404863892930365807133985400050401025386050971998128518604239349040574875327134832725071887122920248563792029697085834187950499143753120399041707054773435867698873585982912629306917598810062868764991381006770678059066788971254732139990449300314962943300656259369612875135938261856884237324582982511143897840607887818425293224641395510589046041058769027654284223306247729249888085180774441897863294369597045069078144671726250282434642541739587592890150084685917762585618820553331
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 83 of the certificate chain of a 4,224-digit prime (422 intermediate primes).

Certified number4,224-digit prime
Certificatedownload
Certificate chainshow step 83 of 422

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005243737724 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000005243737724},"decimal":true,"detail":2}}'