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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 #1100000005814611501 1,757 digits created 2024-01-27

Value

37643221644095037050173254362216443063325942237516198130824931020816126012155904234547188791199914506889366184249109692100934111530155048087372800520087978322076169116965624549019463618731666898135479898972847439644073833434171604774420350760457242999857032721056584807768991180575972021648262003901463272091810955179622873319699281600781935578963935415110558134333210291886328899300626815778349589604401762821132095613908338834686600886978140298326112822658635728141705961863996092222904065152534664382036265696758502701010917602057239874398526116518665935786395626983050214575010100719066058078393310506653637705221485524441013270817984039052144654286335708604484813565761970019103667563921236181888259145507846714752833609320559954787453153835231324809737039572199803568280712988832612110924998085477585993727978852430145934485169292562069499514609061118816456065405421329353081695534014311467423552300045006086216909695375590128994587167303626799539006402136340323157924189751646926958340884381161727066685517823389140209462894711534013433481255923477751145207526570650133003161016756753076407672521469799771395198450801736367732260708737282920826863722694143665522543380640878370092025864902792122561762436639731166332507376649614701295377539097095265660543509830728502744181890077871013953552669857061158941713059038042653660917727773662001545069974017440627845181690290949894730927137386385794080667137731866136876420391770627185313831976315419237521565609320813413327095350106568162167512409239184873654618813547435045927387459757603858337286669128495667264897181076610517207456845725096196878167441321697892932085879122231373782817397827860259325081818650274143385813521212051536548759457907902868171974138875697889565438070631510046165490637426677
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 137 of the certificate chain of a 3,798-digit prime (226 intermediate primes).

Certified number3,798-digit prime
Certificatedownload
Certificate chainshow step 137 of 226

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814611501 --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":1100000005814611501},"decimal":true,"detail":2}}'