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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 #1100000004893104266 2,127 digits created 2023-10-25

Value

174608029392853688766532914199139173617317958830696670512011481172445893355832636323267121160023111501355723529302482879954761877757142532108458401788683784873283501679100492143689762570127700459216922917049867576514523143731143279021558496935843474027888857419142573187065401231610911795286063216835430972615487240127131920436941249345709203320764787543738041938389576638646851132284125459877449445020012678524439105065995810477193399577603954740623685991251837723209442306126916834819161251435264532608753851681247710972233070599380391750122737953310436540837551560644180280748820843155569985874678140217402166403868240284653658620375345942429767742065919002956741280450253590400546890358292111629937648456991039019738376487012697833280963649855231850625744855584502653377319512186847017962788713836753339182609257590228138498643416247287939131343238696884851793179226098162428900543243122296442614908051830463574459296532446703427197817925929307589520257082429158688678028649106289431371480893449983921081861152653083443890635646343134054447950284954681138134009652859561494878623928271146908133239777893027216047058638269626165252696362461764049578044599634567381955010553452590971127829300715311834700085813809216000937200568836242905900321159152215691765820401047398240655338312174542832789386810010983149666813381829030471361514775402632633582737016597317323860569644377325777600809758670493017793401229239746566707438964875321142840474731460318114055213942829784703812204671632804630617023857422071191346512919564408311414387474899587476956198670896514007756619359211312311147402964256666834896966985282791762860844064109026299236634306183837496757878784109010599901758115834568622506773173899297030971241785745657794736164363070157527280211764450283981904049385418315468150819355213500944014727412318806399897430622783214628880276257014468348291173885478298604587114112896060694298513122931118802168413568165820055282913317923991320688395525759193827825927197802678726609503980127024294967683227703444840000482521402851708671797000460839558819531282841208172032714290547803193912815973206431822892550936050310255652053
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 2,192-digit prime (248 intermediate primes).

Certified number2,192-digit prime
Certificatedownload
Certificate chainshow step 9 of 248

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004893104266 --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":1100000004893104266},"decimal":true,"detail":2}}'