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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 #1100000004895221889 1,586 digits created 2023-10-25

Value

83921627030035843711252863450398859894279037480189406884636932315413548245523101380287009037753864960357433456892352084398709114706335416572211410235494922711001894091264349851647715784301275302445108258192530525662298512161934010493020476702588881771474829037523643213582957310408739691600982465089443068370147950075778403015553093603573202234760496209109954081748784591668627775070898397143041852766171128961324584636088992774562348703697118602846037617430907487149985772024195730811883613132512517595553824678874306926509903704400011003018580969119700447823623243524885363988072864136610635243381715365565424430276088541662068906152271030219209506252716541139681739818242020521226689823607689166330003572894557601661750814136134459789471746339989799874228299639935637942809317844633035591446371985497929148891838837965468448011926033400004039561400539350464129758036525177039891982153558481805534911364712468118168046252860176027360218951352699437310493640701112696744951883112334050113068975941017964295369897082037807034645141700816662460163137755736069592549732155034641252632405532889727569177724762090948612336610012031528497461136387281748203552201937260256505845140092626847245120077008823519380574957911393175898421624405209287459004099754784850623509731268056702136773186065132256180292512654549322841394893644708940306492991657802912510364036837870361783859022236436851703038273388960146837690568559411004460853797140408679666267400271426368579987684401997002874308643417980670106536307208879445277530191226497634133475092484405477791540230666617024744663403804276551880627
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 2,154-digit prime (278 intermediate primes).

Certified number2,154-digit prime
Certificatedownload
Certificate chainshow step 61 of 278

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004895221889 --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":1100000004895221889},"decimal":true,"detail":2}}'