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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 #1100000009117425480 1,902 digits created 2026-08-28

Value

319139348303220828647600340251004852089109424479398477244549128825912093329771100946820667357258701754722522434309828422016138133222710607173330622252010902048077885762537898852133560377720438401137668440453171485673733809147706089836550273351051641238961911782023300883276067211470449045371964087938048033299245779786074982395085462128509721294285638462455648927421684488484175214098208359421427705652396686492411103256137020154698396906369299573148951497860776201086431708071569608184159897243990977226836913467487040121635645807557328253931466114641108982775197903759976557533005172127939561328816643159412082230558692144014639599181587293317929795086739083039908840066055448686947450713670596299304012529215651682154672089388951045594138630960973188060600340496239514637228739539165949132328479453748935731733489914582909703998477403069832394774171906599494439599101233698821430295162614413662689050734444555715553125905700106481683909105453972147313987801445721662565230109490183945777834339885654493259213170870149456009160933605386257742487340275719710908287517820758068176786247703857513469001285390944046340030088128561161268435437214696751883626087527511351074982756710488084673789409698657926017216789426530093236819465866792972651131702015327913334513371777199593541358970340962335930882269819744896364222377859470306265305118238407164128721178274363118883943926923263954273378138266166110065176118649852442853939290810337583720859680550317818552411221658391509573990105859182806245314874489242493195337677769359012494910814023969500199932170262776150354837138714304681566514282808008243535598456538224905132179863763256056496417090719063795467379792368850293860691165505918172805300936457594352027108910347459352000879387402567565962732958946341333558072769892009159861636986271222712760539475923670716939676039284719965171061554002341174304886280432560362024646376300465351706778350107861
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 88 of the certificate chain of a 3,029-digit prime (223 intermediate primes).

Certified number3,029-digit prime
Certificatedownload
Certificate chainshow step 88 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009117425480 --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":1100000009117425480},"decimal":true,"detail":2}}'