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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 #1100000004853463208 1,992 digits created 2023-10-24

Value

617432418397452491368599839716781657652615605725259316942865384455588755167272579559209142602044458752614513799589349561924570476249310421906834491369028669616651749515077185353882819656751277798052393499934146957762294460393943454386539981415904569858584830293512294220921292821715009804818597517664865673813879163910035333142696012736267543879727980543192896163160668492135150764038124445967782967620626614193063579330982096538124966601888945799025173853911970018399195422011000579678926427569198530429984506087943081607069538898877335421293904308130026640245565757459785532412796163247967381122684780418608723033449677826330588375192104120380565418424064978946036774756501572373756363942570465421044351540307525847046307012489337398558573636939239135159421633447899852554834291959207285362465560109139415190770493101824092712914166653192666924728997621932278754528273896192239701378945376951593293619835277959844250105797639924648559657497898678240185676945486982791404797896868291631977273752430516907726979044762208975426803830912361570559065516294916538849045009724347989974516156317616662787075762696637399275619559190392779410682752913357265860186699624597312690721719114875119472779112430185810851588745891498297791933618006744569991466759764641568432304435390626898978018877314474193422462356897474194674346322867749974789716298966552305812929882174416904976220644317056921006142280624584975227831343359390654730268569502810547737687074206240307488416237718935852045121916916259497712388657825383282662220518644119891814162010987757281359179266284601260098810728225863843820200234636362136142404190709108966475403068728112973175578197331781546134967024435482473830969847685225563727497628587359388016005173421443958850014206303794775945349230720803918083652927602109309744073563260086204340318375853675881042673319224453061039763730124279741565774925317394595886883143839772522276399667965419989885743553648465943080963614750080153347419097317393187717324225138099504673077655536657
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 87 of the certificate chain of a 3,128-digit prime (227 intermediate primes).

Certified number3,128-digit prime
Certificatedownload
Certificate chainshow step 87 of 227

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853463208 --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":1100000004853463208},"decimal":true,"detail":2}}'