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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 #1100000004873696167 2,127 digits created 2023-10-25

Value

111891212552397340703004663098235555688208771752112795148541924066314608633802745161041503995040652787441104317880153344817049789002547568064913971114346974890017232715624523366272794508862941348728567049454512466533656042461754576513650692265313731875680443572664343624447886690281607584750613880136834960739716960774433302599353518716319333134795193312351361252551331503679261669473079399102671164019348961567615914114077957781095836690677515407600870707077886028059728507545703846689731915279510194065995174445542036434175612007480302388279103944836362194414089406774892993277354287492392325063712397123337781103807442645462862366401894900865937454498437265261374489345962264704585824870567729111752280246847999476792835440501154421676407367350418224481037173377646874015183593151140858881168890138006702088470543894978066003818908915763213850719430540329186807788757965968390860455007017639144436430207394226250822755651200865392506842739576168951508732528744343036176472027845708757049567025211437888242398549037961374170408242173741904902971622259181236444514474378087736989713117642045193117447909481031020251765061236248472302883270119943323785553617557312696002415609377266622424101113999941844112734129398083230269934838148477834111783782068585781552040274905230552273404620335166379821122053176183699363442741889991292131725467881351054607164652252908521922635785194890775072938731054835410536680608347327161092964995645299643193791959788067741441588090359644969267404905372745903812633727379527626123161019137465736419402610742345191491332503140875543919218543344653833940193928861706974875800675669924912918820378574480286077397152789860196900786289886063324595656445541050420539040599688887120256566743146809618389050376445791865293894347233297188426008396824948719373256306527763909285829250806533810462880155171982596107855518186707451581330172949375334292660663317989253771197522483057380840886201734805551706015662995083646798309136331437344511795843859734662546874905667050383045163968337475843602990629473134829867127941267710054575094969348039619994492012919676151534532510735835642099790854509063353733503
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 51 of the certificate chain of a 2,536-digit prime (344 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 51 of 344

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004873696167 --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":1100000004873696167},"decimal":true,"detail":2}}'