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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 #1100000009057963871 1,585 digits created 2026-08-08

Value

2317412714443777664828296383739463032579100277282915288613906177833268396061978295396644002873023299365121113199515729306824456226327285874732273827286725152163834817607707559063406790955989936187636252271066212456470499885520190258383150738907793680697497169200950088126746037764648867124682502012862484636163801263191745460835405749136380425410151678254191309562565126803157396721546759491580987647874684482812981232402212923774369442520837464668794508835871310033792083599579889453777349557844779081783600121058623462504492113216908032284554430336642660222406706929971015671756479569763396053152893379831548517741417633427697316944699513129510031738964696918442672672229809860329237025228243756588848471677143445156730713765527653817932924202229494513656295597012312331404577351080186783714166661433763599427002700379744674597107136551953870098769820922000694149683586837182517147311936454194552410966161762502669131539771872256352082710490863156809981167970867524154293329637606387638754638029684744184252505019295943109980280904227526915986708766941408774583696226350315860869744830188470594203968714762213447869392304576353399945397765296611238290206511825627770245405922320442353463752063161807829709945893336726005961589856090408222277504149041531972446915143597451978152413920112102864441403424862538692492987750522377055452394727372131682963460560087097796686190966288686583040496948300469848637503171001911528157994416964571746760829778446196483425933231693994645436232439933432782945815538836420705127884461871110033172220686883599105142831425715155923701948284948633414073
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 81 of the certificate chain of a 2,600-digit prime (197 intermediate primes).

Certified number2,600-digit prime
Certificatedownload
Certificate chainshow step 81 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057963871 --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":1100000009057963871},"decimal":true,"detail":2}}'