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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 #1100000004877789199 2,143 digits created 2023-10-25

Value

5312079289509501665115062690518742451002356752982288838603141074322230845040021700537424445951581401294063731729601736177004470548170912997434347778044445209273117250632453923288217478926124437598824883165030027106252690045391006939459652336666483422593664740470363787863767665427142314733209466198554973982399482697350148716535397080062756712895657454384965114947331533705952142972498157743486363528607846133776547672271395677284937838671673319239443910404964310360618205333126168760911730582813220000880357354357582627440111570172667460404611923936233930078080630564605835579462576045177415734937064415170119833715658120081533787419479259002224564310299518063735329837549354021991511338862934853083008574760393034963859421807064824690626111254174837445333565068737818426978332769989835180613027721694292309963468429343322727233825789217157859856334147648954682145843109023878939341215359964304334897184962915679612263593678355599070663231274436848549328542847692890994549268460631477414878725043938575771885661386024398976531702245540337327112732232124999833392192990441581648471062972808510925428831788518544500559913337315983311619580488236208545553848662062881955619669973187668917251378721754180897468872756394838760014709854638357880930396894443822054540303654073469466534468885356379901839719088256137813616203625247313620709444235828504734358648682822065932600682306095687727299641772734727362911843130785019117468621112088809509263903867446939953242353209026458135710159085904656128170893787901111684064988950162764824408072359238000000212219792842219750424022466226503921503641368211592088065217448707288562891360060951973020076584527321427968245553344879219492305452848767061343728602066165559484303277107796008328578563485678479170049751549064894249343973995182011071424096927335879797940264801446151117960808458684065376966934399067126909998391925270595211319959440924438832413152236846969775725568874777375910229263195684867388818135457553452748200084480192321846473137253432774545370433289707354419731805387913615616205475023278631022562904422453480846199691196439164792633269899413081338244701652017479136560134122440963983893
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 2,439-digit prime (333 intermediate primes).

Certified number2,439-digit prime
Certificatedownload
Certificate chainshow step 37 of 333

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004877789199 --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":1100000004877789199},"decimal":true,"detail":2}}'