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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 #1100000009130219504 2,294 digits created 2026-09-02

Value

22191783353104851529079040097719857736727303547493269946935914045850313387097702306534372533827206490417321206805135759214449611722894639356415837484840786405183152906139275219812153170287709519599967808333858071182508361227677696848583832431130283204540737749304539531593473172865872246978454964075662767423737153709204296871970333887484678688956561314784543907061776512317960022703793884197576678389822187415362075371945923475137043360505755349120012787189186837563771774596670477115587503552323973589669911019938476305353441670918080771718257825061442714092877027964204170512623132985773828917121355833932310837021791320767604148006036603105355197632113752857890260262490696805782180466804619782149647565053422216695688616936863570042851650493578951069098261960958363171046380149437441829467871932061283315698442969306445904823479807098766808056873939587217542527892849765953529694897894668701574706808572300224844743781024373412369743313941666712589084426539214459113678682046315677435349268864958974963823859646313171542349501315956242151848206437253208103363341085957587688675638556831404167978159981875856416633571227987289637492763477714147901523443394622368602280960671195320642282444398987532868870685585886233688710433242738975543465883473261738591885248225993346406468357467814119865667360582976768148358391485245094679691944064387447317312959697312827711041225773624161115676261240648739490947588237879135996439688174485059879841472744543298029125520334324229932222571810434170754256499735577729354080038277990752663194454026095274071290017515426392617142608714801876403889219436351268679707296664431476330939092162446948305668647389146678164644828676342898392357333203448010495426614252521878861092122396568596576446325751178794826271154008910605746133600454672566768870509844538643495836355807205504013849941882140005765105595698962848993887678785578931613457116995957578522981830765039262424267442989260868274687625506794367298501434088008407664380305091138906076175421182612216655944495896821435362037581724945797011986945014558934188733337050899553253800161723204465410576224064490700711563461109336448617812822676514307332337923937162329739775899140658543646789686339754353083149687846164152257651747895870987613695475097035163893409271545103704818103297867646665582047092757
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 80 of the certificate chain of a 3,156-digit prime (316 intermediate primes).

Certified number3,156-digit prime
Certificatedownload
Certificate chainshow step 80 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130219504 --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":1100000009130219504},"decimal":true,"detail":2}}'