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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 #1100000009121227845 2,089 digits created 2026-08-30

Value

9297161848618228459924435475825066381037153202150597569224995950130081271433825840651063284139751781034656282122931297636485558609749977423453951308711253044057006345428688569575610995476544970247748631252985876641051172372015883519917102273170502070939229324086790294188935714408099875752010840470976152183631780926677430955925124057939709460804019646342400039450337986868494482981729802736425102651596825683508770909522891141983994767254787069457265205052861335486741221110745048219185152179775193909642711652587363985011095713412892114037986716420409164871415055978308668711969815493994710934365321713047389072054876151087198489978608834556932390541055944014283136128171879790128717678026347225553379066737012098091042828545702398395048513280785392527034017353971575297022821383156498436924321083854330712674474624625592740493613388724559775049046031127293079399531319849645713778820094467658452089549948309764519220675906487857439138574067614220538113665271413070998586479668326628519499409330272833426857026267762289587008200670050889898072782388316091476966542219429846229684954157670957240896999431494966348997832362912869450819861325069213735244246528097411290062679896739260755189003024303484378498849645537430497166799817994654370112474730809306926649296569822364658840978190340632170668926204263227673104892087080686416598652409529814275972115378404731314242497650054820108738172104933327707196246176791619613980256219030466617993305868410528465216242640215459422522515485636851027299457699350306223773588417899061529397946895235117052194227827546478915588521719672194040079191367641175062165673662943909602816552923457697110248781744413204989783818557589000801420221643223090204592668123883605692376237135463614232218930577770647725153307140943010653197106886884397915334405650338788129719518548564451830640644215379969119640240241077088503237743149015651916798008517622407597955280628845013377060497822108732961749555699166489639079212781444136331433396144165801780335588313555673302362846235098119068553432712017518568203923050405115878540732340309578742064100229122421754017
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 70 of the certificate chain of a 3,048-digit prime (218 intermediate primes).

Certified number3,048-digit prime
Certificatedownload
Certificate chainshow step 70 of 218

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009121227845 --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":1100000009121227845},"decimal":true,"detail":2}}'