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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 #1100000004851443965 2,645 digits created 2023-10-24

Value

16500164597419191240619156258152792692355032897908381705153217811983982922665248616279772911554100296847071947115256496851255309980064908015727736008680073303199657099428927655906667400168632650629422162793185567305977847099912075458732903870500118929368474329120039109989957099402699239585491192243702457378558616727661559353005441013898592092445046390170794354826254138920419366216587315670023682466438283740546408262001656895852827496912755008341230503482487631962387809720423586471664586855000382262055252987869940947990005493905892186169820301520356923064437188332751459822564907672431509169300497523014452523753734888094015763297751980912712450842659291523332558236619096145290815517909148670723136322399959358170320287296467114836220424588641456443273839186077402614206993040389332360342827665734539845707260715370985841503142368234840711719152140171125591382132739417062871496855913927522585289112694338372010542175861950316806240534449503516284362150904839099123737724964714260316456415244293777338789853673004822402583990424586734449266781117184754373096221438361258034993768746851751261762196301494351598841567069519868246529505883329712783026872154847223737923283866890081765996339373959865771724026549341774334199837828736264082952240897387139333552643998844680710987022773422825891090654598998463045036677762852706536842759386724974742318588408439394786769064192616879804804111210030429374648656164420961935624654140000721705461799468226790433459372776958308814278601781452025110461559177976418829538178313205643364838597164089215635403547459646887231374519323870602721867987928829691403337215672275766831610762831841308156171472887272386109859697662523748490271867926149964304412118793473911988959886327141571250606267548348806618282799074997410914823678985073978174836792339938960522845311958563866916844296147962812623203674636070686011022877588919143714847631173521678624482771314816682360139589685935823927479580999062052990024930488598967236124432482602523376666540832876306959917947616050076769116618106155668076034792056250053478856170197325581863991660219706293786130050410905572783722580240745287287272899085774794036435485187130224025736957930092061186115064126302260327676193341125019759183923302572176676326201084218603355707353769458017960384985776116980631970953756932509752457957232246280812905682267569233063256727615953592304013271955950056626298147586829367120753552222269821174818302044290948472997865823135110298243595946677546054161148054453715486032737575643498488485169775727788770593407395764539641423920951047561818717660298010896100488988213743444201845408375553074142380546141009881831261962071063728781
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 3,182-digit prime (407 intermediate primes).

Certified number3,182-digit prime
Certificatedownload
Certificate chainshow step 57 of 407

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851443965 --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":1100000004851443965},"decimal":true,"detail":2}}'