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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 #1100000004881010665 2,024 digits created 2023-10-25

Value

20531660657349249414575130928475588264091409582381648049497828202354829075820006035830632244250265439267675095996496085370115499450972134754912538352081488904264564218447663319112872558897091036422460084639141046231747517267284827703490154941877201467280837342920347074111763429250142709179695411742898737962947017907131307138178910904998738999029631687052320970842285062573206440828294855688813238579618965196651961823703404804452189801869112309732306166422175037811443184466503505781716083510735697442151976155199868349328244908881028552613211926108452530383064009739848782017464859163964643443268571007828401442475865305307676090309225386199245780852339760724750597776864686868346667010049339757273043202798955842261929526242054482413968921873642696502721507813823865480461867502676873522464697202109578226462177002895767914984438023532708034969864554866003063053898466982331038847926689499525113281404235064412087189303572690736656796696846331313801540255504075955677574139876403771946327706260650206511763602544651321141695841606247497848573714890869276512651610417689615005489748596081525016687770145123627498183093487168841233031005135747466718576523121148296401373382290987819028643090188204996646359682159517645616355645655242156315961961639216590950245609070297571392132186317625061544978174042382941601393080593472016977991879192529134853922660716174847805817701668360368085137300291429869081397358741921385543697883599219932987312664582778812461545045318175126618170204449628919939122899518276994406609399348130821283070514288353588830287746892073808519287701937914243367212803126218433801649058953462284938102066821969008281120536640554169000182405567465205630764232865503754689863709564115296290458974148864460583062169402741143073753554798063902534034930223628086533111198961084633914959264426589489669161485754696521268232831056328295770090285475198619965166621714127160265626040368961374780030546078320394334264428619001268428694309421659765508567276009920645562311164322086793691115453582909579029452483577
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 2,375-digit prime (270 intermediate primes).

Certified number2,375-digit prime
Certificatedownload
Certificate chainshow step 38 of 270

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004881010665 --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":1100000004881010665},"decimal":true,"detail":2}}'