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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 #1100000004882164853 1,849 digits created 2023-10-25

Value

4738625644344042209273995294536866836871397330749017893403548414581148857392944661352404282403117887928072669360280345682093149602269561452629293740160548280711138383233393480276862904497547094764949620677684411303637216165587692968445014883665975031017210715338076067880664721375934596651994746348179511502391089870460767363757812647483337736284139923709321182858388822233142477249791035923045316555403589729241445319000420785970761224710007709688033800227278701271965898662492427632780583899762154915380552816105927832761257653790937499577482619134920252277534878522812328050825871049528689248437816915417207786833332439226337391855947623424043449209014327768511243651737288698625526117827172789356354722253596706599839586198402090079051517140331480556047777877136498466561538713506523951905719058314165343282205678728940789606636432267866622768777557562726956224865825292698132068281063393857537113479253742386768070757717534732312422957797426166472374441879285803887882368485300864767968181059300178225545332765801830913522281697838507834046801772056833671620604136259401259120700080099848720145877947665331037929206923467590223337454680724325242452234496561787519287139548224681551653311134470843654493005625237979538398089574477956526455732704758653848758773742891017278223257499616949383626415738685290470968616616377251772028409933571111611939196458137530241266868026943995078001944285857021984717908230573223593004588146803154220835723773288618955259739935574688248534846568323426628519638036315261680912732881703384051588231707011972668459470137325084010547262342094403158202021257062690756643875575196949883990213396564561817846700102508844100229263595988883390482950353960458930827875194258869640007920238154650366934880422970315043928476677356832430039162339858813750021406982632360935510897294737706039544418019729336424922330911873727
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 2,340-digit prime (317 intermediate primes).

Certified number2,340-digit prime
Certificatedownload
Certificate chainshow step 69 of 317

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004882164853 --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":1100000004882164853},"decimal":true,"detail":2}}'