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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 #1100000009123228168 2,121 digits created 2026-08-30

Value

404402404359299575174237025565468450891951939518110465988042651552593039629876223242376608156691007466715845692462149178719996408797284451659956033987719361238358191919555464933324132733947188305327322440509395761285367276633865113259002102367640470022529941160510854286573276504129220440560861838589629504254666694190990324142068399784820989903438323743925192180372479716380042839266501960278588882243964408733950588312070030850063679802850463694127339383366377216544561105126503998577703401135501384942229239325816549070974840553432234099201190724820504821205967631315532244554261675086777426784647766022733491722065492005164780479583314354762118824625996597080825429178704259159729473258412807585078113455314635152409618063977569329738550706907235819575381062780428441965339596884585636628548478096224972533848837871406056614379189443013932770033833119453238113000406864619289370757339457469048746773562080764220716961926243461762542952300495459931492387220070321197617162165541887590674412828745835390935562954327089032081927820027153537005624606656384513190492714154800663204031775703270231119264382981989247555436725947870122131369479826932022730284413583580166097890594736027620712732671382767773227084673798168078830470997460959572962380869477499614392933613295991004480369555700360687577273141561842776863710375680663238990132894561370642608911734100012616267008575606643963152540507045116932667800719222711408281018906262970307707758344637066866162158171714295107873701207789595762711051118056136082328652856250135954811585705790683818358935005367728277614588288931022867964726897548599306773440613505728758901455104812913362709682316347321306154519307974108898892874504467625780882624801202147448875799822566754213481808039530796119096971719275550775132411997528605093641399153979366504277138976649476752181583537008712891904337564041323023404431316710432745834343459403768956264544866198804833695527980985566480358508232345615622898337518993034652763433346835125252442411188423163503516345076967840018935038455287892558034959970070550155705467118918443211136444824100837925272966248016248708005044599371431367
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 89 of the certificate chain of a 3,079-digit prime (311 intermediate primes).

Certified number3,079-digit prime
Certificatedownload
Certificate chainshow step 89 of 311

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123228168 --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":1100000009123228168},"decimal":true,"detail":2}}'