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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 #1100000009053480935 1,926 digits created 2026-08-07

Value

247916297296351681159142881182696232912950425197152918981397825454999043543804582130084314371660151738993548600429594112369713615797535762177132353832594579436812295784713874906877952185148163825336107476689815116176760823879570572784408777607911147113055757169602474078096813448045568962557331017901688501435690555343547684863509207871467088839372646300679165538661635565829130657572941178167038130140913345749789983363910967937959977193673206415737231378177590313876952062376915171983679865887823083225304996668404076335137639859766397091120468876867641310204346313240671172325866717776230615476178288822691342682099675820005898122846985178499415572448131759208934760256744198799614467120256709587790249327022841828990349300750711118828091304573996460845350753497596416262212237129952237396582949761245090072937038328263636383487886364807790741747032646057870987055101938035657266888183957372316066102599012983990663705481095053939028483142286903782087756031761600133724013328501175767580242833590661367776168034650943591516189722651202589973668484882501488396985930479475306112801881017615480789321609491562557317862755143384651452202120879044709186966009059895551306788111376251750556180780630874227506606186391809409931252296350380266347381832659924512816492918389621058031630348642884720616164445004735795418465273440941587466891387537115909489471420761333531992655521814908672520944660654518049873698354048507498526240044305318211881134159282930316234240810876764180367598234852047018993123620340426302809661494757979927249165320867990246651787141204752864210976596986497869271306045513466233650962946819603324757143652246713118477847678733014038516639706013376137669879111676522885314881966452678559934378102422308262836496827955275533776342754937569526869609134097381039976734678175595904888524548281804369671152357532136978669155717129831144624643811526927235754440507367008643754977626311176763380907870811094086077
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 2,301-digit prime (179 intermediate primes).

Certified number2,301-digit prime
Certificatedownload
Certificate chainshow step 31 of 179

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053480935 --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":1100000009053480935},"decimal":true,"detail":2}}'