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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 #1100000004895221439 1,763 digits created 2023-10-25

Value

34347980198038724815343644435807763619028138418045077091125191249093685812669771594107871243275171353870820197347358384648139812878992210267464546973114328559226038929528686363404789111166464454211924014051633219312689571822392498332697360322342906358960355795607959920486383696803965295209005534465740732912354529867875295580142037186611771472179538334228557666219649775649596340860883951018320682944852405976007467342471304941422365491782270343179633500355267688571387466259549595990630027058724033044031709598381751629090638988855579458949323476710250292412852268939338185089040686584211106782152384295626400144469361839254820814490863457847877219002164541136903312335738701968275150787114523939915089345370146602962098748486793595170396281320003690356766018502977148780148557076387245676171537926135587261223760488691089540999342491373595186984316529474463015105749303722289666751609818663773234632194427378312919593439268529907562449907263826735942816911734244017086017135764581613606702803296598358514887099008505494125584027285660575965817292778312158062693434963838742492550336147468486362447029873716554620831915649602262736053589253692957136929310885798436485736814296688438729661272612564587258322631896235863827102543432370832764915129416036831386192740907033811632639743263609133526080580080336826611199577407146105069834617299642322907986717193728102056562193018395250218886167716510551225584211028989261162342051607565815035531342010341176429853716375819889177006840588714123646034460606572451285518900929415775626150045317878936339838579093555348405187246976443290697805274727594955102352849694236525884019524959605465533877386183573484073912816734604342408998673646641956120462113396496747136395962411528091431473104459670744324785612593896238283
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 2,154-digit prime (278 intermediate primes).

Certified number2,154-digit prime
Certificatedownload
Certificate chainshow step 41 of 278

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004895221439 --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":1100000004895221439},"decimal":true,"detail":2}}'