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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 #1100000008655788075 3,524 digits created 2026-03-02

Value

13209703609511232586400799350803717788758128711424167253027389150464591998062268628669565020886115887539970754063041143400127768590375265162533385911837670948840544871760390314048148708940480398168439863780400451533617650668064659184965772196825213292585357026549034244502923022740275896198412429575994248425332002151168356753072218209899428533764135344633395312550677447258527419028064049872897715489764623217525750383621146421463679132964230454335644800811064954261586590898201988000778599310167334679187839831367616648888771664048275902526265963772453895186985283768598893351780760913192099529563174735682709523620487973346892423404580535520534356400954796736443625300346131952796976488416262696428309788248495856101131022452064521351101302043831465978515330945281929198205279306535137208150155141911177352296081629668015828397433007586527366736352397822803047861372711506562317974736236971207630459282047424969612120162311562743451310752791465378650178839304921922484456613354881025716299927823101123748665654817990542384390347558605596826885865284643066271277874279944819208777529267001949226517171647955014104675788687407449737754888318639602604073514613697281549476097595030823322794334120491269482371224283213621805324367797531861732506738111329306572955477422375040326287311733558945238632571256814386520386088793855429374022178791180925892848413069825749224335198354506707070157196657400204188993042040514025399855129526020858653453585690568626298389040312426302786508224948078944850969934001327590128083093601378807878845566050336834471611747278882131560787392378566590511578129497555933253385597395710762934137986348207155589708765205689472013036396840157012157756868028045927400599699275448289589393357045686474163410886121994271893120484995385179351392922922092291220421843971037706689493748029473869188002882663940112552337894096854188554225684725024802891041279469194269412659881279487028557209471738424119587321454780220933120548291696094240724685960193112879075484078066840429983837215722989067766771594620211705699515359566668665468283990355575051578882022263545843318051653059255698692873661176869189655747561294440602953369990062969463783410306854927900717797403160221316253299506171165492054644921360713151841857109188552907179716736768600453470475619583903357314409560054465327335193908106262106644120756361575411210363665387287887229609480422607542707484820327831601432303407328087623429440734007921487050098663626303117635341707605053604908493138608882898137834074092936476186001777080376805304113638021783260683705950439549605337772730054582385365875623778256484273494367010189327519071905739362402344497962847252791770420768382031591782121538500326089394335411872502774843683261878860950954055136712069051985956868364006318535745077707431150931582733985070235466954395112407127932180864006267735151026914572261311701710861893002754457701959071559496950545865947841618467199298115373509841645396411607442961603273402237970569197656685524384841400096335197703135138484996505125601867501986593126170847682110670125635899341289532203492617751070271538069279119780022013741597220964352682379699744123896276950015062285582558092864453716626147560200351721043086475143072034657300190930347511550845741541841136543998039679192564785957319864480212698530946979784157614816959444026445277145946991970899246807146330164573169102213766989981986900436894699559425821722991528998591695464704988414370649961135660162255696223233784187419969836123769214822322630075077331420436387891961012628410699009615456832027
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 186 of the certificate chain of a 6,194-digit prime (396 intermediate primes).

Certified number6,194-digit prime
Certificatedownload
Certificate chainshow step 186 of 396

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008655788075 --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":1100000008655788075},"decimal":true,"detail":2}}'