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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 #1100000009104084438 1,965 digits created 2026-08-23

Value

263967699920891533344137005259262540535119357216548555026390080410075199096971175946183902620281728818740118156466133082134894822922032776116589376120823122555550592162911436355925132677505429184036611245380745672499819778529326921365230599019651867763066539324436378834279763613214442547852738075757088164406535896735843140998604234963022892894630192513160829097273742403827551423928896127821148847042046916724705676632358726705696228645283287578271018122654885616730542242100026233029548064708505007291525851285626773713894657069805359603588776211440254433117852551399540532511927639747505915905769958153503560727105625805918236383010278518332216720371894384806227759053572717507476104023730118848315483262232671166530749275316059909382288044843022056668600831199507683924052454244917777295847183642865373274501515111004757571635833512194298104289462379926220373630581787285301736093457955420240056849514675929510387343414135099273584709098191034787028525235067010685489746888603184186092737572443026706828990030677445995907625094391630644810659834389679654432404674820758832058792849956042972648050294689797682173357403609891635146765810277542854097176928758227779791663630007970214988376080265342596482135477843099894402465238866438580239221635262307347989452553616615376808777879110702617574123076659457016451257793685034592188407311053637131938470332396844569230278715274699713501134090661336598650374744589045341924224590931822300924614393494260349864022291941928761437117422975214270781866882528824295148584032452204496354659132978734251114569468367562471198346386857137485471377629623847537249920493922180763227590441931821437378518567954964482836560620923629465364799117094104756263965339929046212949240712849500736201731125335651803887665604676693346119415037308390314396996723013189139152737664095623109883511607547565302421911806996448270305439026885479624810932771088907470012525776359249149262475376874604502508249797523641845804522975512159740925233
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 78 of the certificate chain of a 2,989-digit prime (221 intermediate primes).

Certified number2,989-digit prime
Certificatedownload
Certificate chainshow step 78 of 221

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009104084438 --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":1100000009104084438},"decimal":true,"detail":2}}'