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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 #1100000008676711231 1,510 digits created 2026-03-10

Value

2966955155407323243337459042109864389784805388685642249001246049584672191232510752900788756327790974814102008799696859813809012016939198580297320899394198872596379521074176886924569364273832322853186330918379555737042414294020820497548795880792341616026132724614457038978572526911845679025762875217708153832909060029373474246935573545450674020859931797919609602473882331141088860800902759572432897758388354631045100096679347653266048968049618805452856552349393436129733351702081911518631435546478727613270896596181612329121332266751668086213781635354801058165891305182225272684164008166030276710853261429139312785907296841925337999524810434696317128990643102035168675379976539454595994124807654790418927166398029819577016652225343015693337836495463356114323933096668426664918727070337467381968473792048137330542824365705538515327610611647824004724365054134311077900042438503225787590221905960583062388163158610335911937053422368949196118139117498281808374473916290140074875775945414114274486180462537853575381205725343196272722730393578256650761096921671116538037367237331839166289336504639411210179451505616947237777953355312346226436252312862504459295893155174717640237231817902466360100887755106030033252427447072561469383231172985437245011188994909289121375042376149491452515914425400608832844361322797518188110859517207159130166965438716281513229581237500547076981605885251843347694048154860868500870436828097780510669619910542012293420571803413713650897221116872438915537668775134958009695668349513147821
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 1,588-digit prime (161 intermediate primes).

Certified number1,588-digit prime
Certificatedownload
Certificate chainshow step 9 of 161

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008676711231 --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":1100000008676711231},"decimal":true,"detail":2}}'