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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 #1100000009009286197 1,915 digits created 2026-07-28

Value

3820809047256274147493973132373139922673550382156656760018784337137942539618319792026668863962061233375357873350961442519697043849101716466620858660896197296419818766207868738759226225095495643931076624053386437378508573732921069480932252532189993208887978988753088523187370196404584075159973037195394575674488327968001222075001711225179972100166623126882962371959802831306500674446715361847301629117710540415078769306080404350491711075393109167704915273990590751531034839033690483321133357287931795452389793518900144732705935764185884065118340739327543441345007906371137693499410297737009916835226675291324901373135939418668870398754884143858168178907189413225511128332260149668410254720840447799460877150188369896376957256342072114141591535916772998676136043786545034927071085087811619410769430316925720891761501674614971271927778147493153030253198206203832248355318414984138336661221616633351161677845234141451513158497227047035035349763961550030045574450926854880766251207916414423368656255565473142910244946912713961107038794149299020946072278893201823184075197684628752234906649055361999888561218494921544825830190725634323193174344577759197641184855117444987333111479989609331223919727293025125551797997998482382233417425281929232938933084510700403655930553879957612476736480687779773685164403030630231482150587115333501274285792430372659967633900436652533409880159750652846176757259091370249455538458132251918840606886376087269590997690225142646761819382759053217087410289745544779983619542697889446700857992795018784453672333167513337680572789457784019848760709018669508515614633228758136173286300392993815635319878174094029245242710156421612679745823860488338796550514190011704027004334257131112737753068558656604978662415016310453405994435318932598680002810080630733211797231818213376231646638360272460412574737566099659116504472107631195859723667472110138102586114703482716906689664497669249158648392639
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 2,685-digit prime (204 intermediate primes).

Certified number2,685-digit prime
Certificatedownload
Certificate chainshow step 62 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009009286197 --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":1100000009009286197},"decimal":true,"detail":2}}'