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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 #1100000004875532367 1,987 digits created 2023-10-25

Value

2553670317857996262805846675345136810358339121899749415759320160210803345845708230655431144574123172300218421809882079212891740915348375197553155748326566697927090995425178646780024510843947124968621802033512705743349343919776629032483356100786201387749481700547975191219380703222032210873411808088065847389454785956310775985370262838290279512424555343850790393580789330146125159228809514671963182267253425216494632589897224381442794265252261462771128136447764289101205576207706814244636696961019430325855455956190183020620181401568529260557576495144898500286358261577164784593436869602107342939562893292526653454582444226068763883841469066705836347519550837958813076158434294668553670771618300062630918184471948405509537915695848857263303498733023818495408695529404724787465251756255365670220722025418885056873222395621171730658016139258960226641201701811386811711364096460549876648311617013796359412362490157196732782603761147138933044121053806375353987411705300253405009959730539823751582298208313189373928046952162345067067822227935351724643346397386777748653442631244231779189990090814838157124252591907434348302787333037068753792584926220902187306344684786360374216518920287703478463284558561799283096690708549524638140270022729172619125771237849782459604537902732506493516465679058025231670378454611657138805750032027320859055747291667298843031292017816967186638458683457125637838893012848190219829276941816830996656678681989255935552011052179796552821200283431045376854672225206196328616606036636759501106573959436253225504338495176932987390180468229872510016660898190459589748283080007271906879682014276976350561904861323182984777072109808857432158868683370738255226536473240255218757980735705922651065333731872524836816283432694664741113557122487838055151528431912263067326173619554118420169188120517797649135454657911144505191532984909712210959036586740308618660119100176808582909062165623227132232035444260355448369024172771340937863396532688413730465691197210375402504894509
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 2,497-digit prime (268 intermediate primes).

Certified number2,497-digit prime
Certificatedownload
Certificate chainshow step 49 of 268

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004875532367 --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":1100000004875532367},"decimal":true,"detail":2}}'