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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 #1100000009132755513 2,883 digits created 2026-09-03

Value

470239190299661387996425750850894354747798114897612182187929159706372110105589912890545357707061237775022189497862471101810459458346368656990667024972326747793781247879108863205026962121508984968711665583865224282995214394981272471772025518659672658277020251556013993404495466954170146488480139483555117401278581753600434515453785944420456169821199861674938091594472173994188059866545433598306621658596104585679146766423442551309995096424772218836683014695725440148171741481267698212388327581757038050073276545868837205765083838863742443799757080847532601904447904356630896621993393726741196079172114258095506739159011831154429191698000426243510321280306895673159823545707093633922045636134553536857042701162594932601393552546372734901200145037706858341847259170313889702230562879369998672520551908025676384843135460609499053348911704619794814463359222726176229486468678103273236138804823723025487325835588806721934382693062624934947295098878508037441908511953730130713396254762556333551253850919108495559744268066255294349870867599433783884924448665675648477722184031518138221307696866606156605373557036985262458061027368535843400582506292504999736237703176039211485301049248534138478689144554055085572925688090471360686872637152626224597432189140727351864044003216227759863496123484098939558833644984155797300762298380648157428276093197376020206265260255007743009800651668447097902096588977550986084989157689797106974917384199476207930356662855667799770212104213887164009591586758777525427336687802383803042433686542310088277819562960556770328315559698984557275357285732784479356076928945414501839363352895295386155020428069688020215153081074772767169589346937387298123011204143288606385807702387683982825126017112238265650130496820906446570490154058423924611838338253256451264348178886694301845596505208328710890127510319051977406515104726676972644925902293903599148041234286032697024070500030820699032696464319236885042112994007379442730459945227246210696973409234117632344518138570317942564348494374518621108699009145987306961601502002987951287964945752011922613793803406499441805827938301515022656576805100318877323659451325596261666534171273413501155300338125648645174253494202225702527750348539106013924526071183530284541535110555792275788061963841315423712698830553965380948058050786246894693752634783518182976105019810115209771935115318427404066429727516506051019185005007919329248076897139851682596387069457589018463152265449013314823690760821019602135151329786325221551482740734022371609942722657607623480835751697168234220918363425951405804589388200342789356931050264189097819572286077575015186264887709685102033684586675311409177810297192053422814909443840490243191639755465448188552462015019132146801759119600626193729140486619640073323742878673519680139649673327911655166429480165065669387220991728936694209450898881411529742563488425924373549611588764659742303148281
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 29 of the certificate chain of a 3,186-digit prime (307 intermediate primes).

Certified number3,186-digit prime
Certificatedownload
Certificate chainshow step 29 of 307

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009132755513 --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":1100000009132755513},"decimal":true,"detail":2}}'