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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 #1100000002814768639 2,025 digits created 2022-01-16

Value

113652953781497747433174682549264245865154192958661475059509169800253859930512012007463212873763332151445372605048385657240466724107732807637450793815682065585684715276716049025890110267937205757835078021931387836553172117791700780332646161849583014215935747448753820476023685916016356851364278853845119418950867746656000919734074812975397712016745920384515635022629297404636083285397913617976060784080837313496172702292434942169537151618148560448308063569784778500395710745240847096068081668127662565330933419530462628770066122631547087552395575197492935605127167974319897574070298459459012142103487178224334722176348458181464655502072749634501362740477569689800909322852445078638234846458398724632465084890568835681645096212522234017784245234103885317934808785343685879217639147784247700150348443134125696663743013014535754746969318125453878675930635142841394079171831867220624922815561989606834164540480139868796706674482908659277345801703386577838451318191254090391259119682470392905585103775799129918720685658719514272567655771973693046708806301957673133163823066666460957037771514952293479392675421333455394518260257436022078011877245030835079588417626367607848016237919595907453780825629568211743258551863818042589865574436277116029777349770544344252535534377400808547251941350032114319108168553109737022081282206536962485356438335680919478131995048904395079904514373673906379071238653950375815664888324936622133468149059636233680071214395693778740700028692848674322296493109892476821735523067161629558652214227513331055008211160067278994412565809979511669125120306771066524672514901347181020422427210160682196044886355560239587467442077091063199759081234794897099630684526972900310952180828244147918664267973601279315450096003593091526836366080656824135531776737007625404390112941087359795791867475581895235194430006696274930448488324067820329090950512825849937470191098175328519543464703976359380919389368814421443177696451525322820829646994010721670628855807908128065623633051427087795408665908709530737168493377383
term (18^1613-13^1613)/5
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (2,025 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byMasaki UKAI

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000002814768639 --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":1100000002814768639},"decimal":true,"detail":2}}'