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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 #1100000004853461908 2,694 digits created 2023-10-24

Value

945737038500802030667928209088371303050651528349558365664406336390579501479292898500658994015849949818897960755564627508152606529035191433426361456240737453363223516350305112351386080798185348617526531166424429652123614350299393140261084083554922345914436901312418106550618562565374248356679572353135124152991230530416007978426708805339427116148698835667779852567418553856812533190809440586634166404297507772610756895255990361711020343005582906282291804920151807064286100050833916609262789240268006518975959787352529917434796794575542071714105145188238534414711486051386536037572784019066076117111731442721073367574377928351418846499541233350000677960509867975316395992129987227771233997299713632391985042841330391296813460120663842211685403310604686918969225149373371130018106335016825961588328195576238543595853360386008065791131682279880120304706982332573105907143081728300867581179101295340075049825894200322565364493326576958331338777576195898943879508023572583686590297925712741237059116322429738744558605410819177713335941805988888720719335722231776294189391085369307478143032180168900513915442500060796778308335392802872849212121821388048699147508645291988952246547766536240174730154476180409272408831448356889745223955079494926980854303000631590562819516452289958094364731157246172950207459357557148355537649709064775453297092913267310622932184214574492468411840117332893472527826840234815488171198176164795222070535537795205935983407456671945650962428226574347369005048522737616481408915475182631439633123091909346789731102313361926610507330321947306037680769741137567164128642702364042700882357399246814573717812246403176708795479242159897508771437484155617639630763934883236873552699694555108124168756363885192183594140922842599796013628545536755038899415324408434360274681440589141953527708911067415584348692266809476478146959193693538972084931893682911050571304959809955559960918080940045120390389567182464430709779057926886118409725354581126950422129477235965984297214906483056749594988878014657911891111016037114996906151602714875960810713697018278307249548055638290672295982208411888669833429907404084520631116837838441756164322124835173230667237439091877381990643855475579916493943404994165926170604285495193714648634040794838893424598654544117659397408865451575874624027059587743502356551153104125321569084424491220496709269707926056350096814153328641892910918579036126013307077785851718712307100403169748267883036113124579025420032085967458911874067657108394568791475404478846359379637929082758707927452559311649236511290011205424601798939244400856312733836363823849214085982096004756298941175579263458170302131422434277411064770436064004296097447458389449427493542022252073
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 3,128-digit prime (227 intermediate primes).

Certified number3,128-digit prime
Certificatedownload
Certificate chainshow step 34 of 227

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853461908 --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":1100000004853461908},"decimal":true,"detail":2}}'