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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 #1100000009064579814 1,620 digits created 2026-08-09

Value

257108568215951994324862020790699356168714865456019380768460659809060478237716355407376490031465145724338688210480656894792152333835270222439976725110923896792094816983146366595454906683373921758969673683350985153318547035757982641226825553572266478359409352296677288813638818686182096302002555898708526235337147481267997269617223020212653573619622080838398407999192024909263921124127385784793731143151816236818067215801322622182601042489248825043261773627362949852401964254298702417528334328559135008764991745445251807711862386639434574737733599987822153142431284372883708312795285993051630243983919694479710095496025983411362873079127720774902364211474832812703707855077674401867622270613251324602275643037904631922307736167805806109999325797292888275133772028030272464300445150500335395027722519074842000760455899988239888995968698823267930429178914437014477421477849775968711393538988358508639850712759316130690926429881202369618984688837724544427805027721162225481330585495108442025877239202369414524630423280479620063260053464637194258098774683656562753324165768731907926725553404341015578171447438534471883094121950431078962105875565478696503266793661994950367770385632575712439261666302539896073448429989911014574059251513065356764304311975954383605000453002773915038908499058180384097569892442667773104538439782141236722026709276308672351724532680835666840433792659810091792274704800592894961840709477638336766991574921826670434070401305437136593040696377753800013482903937619013634653383711462047770793013023177560389689075506180599304822406806249554446786968985381235797361690882203787475623265207954300687881
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 72 of the certificate chain of a 2,573-digit prime (194 intermediate primes).

Certified number2,573-digit prime
Certificatedownload
Certificate chainshow step 72 of 194

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009064579814 --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":1100000009064579814},"decimal":true,"detail":2}}'