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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 #1100000009126644291 2,189 digits created 2026-09-01

Value

34613225774565798232616816675389572719438278970136666914142216077560909335770936122133674167297585069926991822811129654151539313875481196041446213356285770507534798801331303098515501063243577200755041152480402195808122011653866772283760738179618370909293928114773978269981895504423557602632127144726775029601414616879012955644900324341159905601229196689387589294608060762291246037731390274295586798617132494025176304114573248365831056483816041971314872421299491336534734631546317362544642914557088920866294299634755139894779223438551791639075590872296160083287721891518043830693885174355222763593769924927240513426792790875625862603041217828081939327817755853137882624440127520240530723457167271694676611906237839894764083217477234119371137772537417666432783400467092288136448117320226227138258380584634323120090902181214559185377343700747335085579778905910137905629193741457238338163644974709137279857680169685951097724485251624387600855763172479379776552224152158848579932194442189882792541556622202067813082821632498829779834985690826887661903182839650724264861421726999655521319058480456369724979795279808123766726937703376013857025357509501897568574778755670750309787110407135872208746464055492172378659512070072338208546140799749449250086932428462668208647655108957342809377514287474640806414440498042082278875202754197487593405246368898152458659640065924858301208580591604309765589717974832510902089714166392344121360979741255424771255458859663394281436549725374423128454649481079531123144876908588437754323910919441020163346741557301004557641450840402249394145473256302455487671522528790313948406992796137044023390357623911173662456874219946351242804946376881052394500004719546713576458588863745377118191453197817376256682981834125138210588083288539930449675759990036383804628498422519508656743926695039404640180925396129295143164868985548251185356724887276270768579816580742393292560866360937982126802654642583011350656095831404842526421349865565502736740953232169645196198682915667080235033194737653991006746705996972253673360412165991494088280833663363992881576707391895746160078728596392587143002112747916464936566198326799964099549743900303081558898246457640608517195631290497
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 93 of the certificate chain of a 3,110-digit prime (313 intermediate primes).

Certified number3,110-digit prime
Certificatedownload
Certificate chainshow step 93 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009126644291 --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":1100000009126644291},"decimal":true,"detail":2}}'