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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 #1100000004828082937 3,114 digits created 2023-10-24

Value

285157293225559727992441339618482283547750710215789657587671433177525609275309139451897011063313966802683362504251407373402231909987523590304956123150705704657650389913271263028243418603946615513776849680713894610523154428699163500348169155354247110781311848687413288904191050779918169466244599652086719433395253499282889097728624116948504448702702808905010576857615520464098725813250096109786141662752517886949515997308168732446127706579418646310479149808055084136579566603323835524372736107628069947457062378270123782275219918572723472567841802452236586541038675950684982027564276427583305424127168086813296945240964044226715363520114897166075388909032944286112848133707793138099467644980365452441987101938077511638806383152188845394390842411866623686054192278387121117412411153534389447513844638301672594295688634393132542453463737440483674166995382980128602384442865499819588530390327209034597773775336526418440801826279202292916062404457162732606678789091310571763261277949106654265818823900270737122725025580091203868341348498259877648262601394864375370507870712836297501932222264083693610630568062319039965896893914080735368652188789976809557449134247211405986221231815768804921587075354880101674241084722526727481649211749960955924085060079119989218931706266088130517975394697588778853205113472832740022622932681587016795555507713410945335357430493693663723273933064552489939094222915060616883785475879006775230805214153440368923230235948059037850237134358387188563016750215609742777795503707386449809977582827609157180515951579785938478453021062791433688054153888284285585323517321787430372454704827425415673580307414187726812306956224891750657460753523021377597982318120815716135012033058477441505786637648273787084784155308246869651764035980708446729225707498215255107921643907426158438516583611531067108882095600331318174058384601805131972065915572114291241947046430519652298862134444433805044736983590855514691615997631435512024905589395321197466970383598459348033069769306255452137886639520096322827582290884786381223684355359470441628320498732043470648278491279673933417275978650864625787453407610009151371742034247018029579924722246082934536515319615262667249208833244100235490890899622673542518121982056032582564072369963885392528153055356506787206454472420498500667124185364059775967753892542404186272161475939856036137910384351015704810403101653702514656402772063392588830270416401667304627524389087556546126186926925009922942318771504132762961568966665713239833786504450456935070418126654357093130407774699900437336082851768098258800612202662778798951108987997251204061215407222768381250867238745751567553698561031234187602691578770842186706533626198304991167419966540297081502121649010282502580602555163481180835627361021650476310333027769969068778596633882014854837276966704607573372391195023590325079943030446360842644862321910821501350841118856149947948414455152733899536008713499731449770520491114959691044041315056781977116042717832309005143812150642101084104954382794901615511039951144409545205060421406077954694133152736601921245524139874902046230185815391001098034540077796436803603023
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 104 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 104 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828082937 --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":1100000004828082937},"decimal":true,"detail":2}}'