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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 #1100000009074183097 1,601 digits created 2026-08-11

Value

34326168359459721711779434280550968886861209348027288717114039914256310110701737713393487953414557437377589120006143259251742594191032226153299204333966580792254949521921887650888609242784839617680118970050719228596386270196594831945991710947883500368719265020778015998192866743891553832738707868725844091485343546706043407928700622352747438444171964211449334765625037728530868820881737677198318740211111524976198332665321010949291234944527637010818902837569458896300226061495059905685372788647221393163385984180412095286297339574926148340045643144797388042547013895551086664357878034595163626281267428814785971581924092276387092630793476768636302762305448001472796893261297469443840388057154857733553175464885632460296392667011359483348786749976147407427956266970689792026685705153627749660479673023548209826148384005640698093228037278000880174179529539821413855830526210330039957141527143323917938725586740638289156581900490425973358536100806309766420712180606435949206045809047330679896507197808300414997687155370978315064351009879208443172174898018182134460817573197143770335670354783832360693207909314340937540630280187068917066067313800706500401231444856823390707009338744087335124491133838304686097690486643745899693609679952832914886014837669325596547293110033980391174383740005089637488504383616803373195551254095919241634216386424983774093151931593460947101720156432018681678391112583474062335379837551843587133662877538585904515300918622771305352384390084158515205900641438154564515727433368586774711636666794540485405664654532475100404851222475668305080532878519796562540535680590941579967
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 80 of the certificate chain of a 2,654-digit prime (200 intermediate primes).

Certified number2,654-digit prime
Certificatedownload
Certificate chainshow step 80 of 200

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009074183097 --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":1100000009074183097},"decimal":true,"detail":2}}'