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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 #1100000009059118113 1,933 digits created 2026-08-09

Value

5247906192536588822126962858397427340092707851508708944718225961389322116663160940684620803084824153378713204283701492321498280220181640256940408864600555249980141627801890642384817161931026457264509866570104481909884421943126230048294199256478108360273862968970532196519213757875033197612880755288273555456382280129436210733175098990376120978145950088563404284887247767536058151692740035040471576296727443570479890550069361363707046874523405303909745730122096801290129049735488614289783586622464163014365081965090123910879672260608201299485369811392554269006693748413629440672281404743323581183477253292163644195253070124471899985596841162774141957297968000781177347916885550025378777202886273069573926166264288433790927887633346099571638265706208272498824385883665177999022677553654330468489864800909784480317999109655405278265300418822207337786819224323315271925057571422962528454968697546294554784744548492982380726998256589679788231013300504087918515717744338591814723926038339416523285984489672949724580639452972856374293923825944177994004252636268042772105234500897952896232440968344631211214141537059662644339606952457847364782346288603710275123240809316243837063194058427023225337076989363726774632332321788158303040456566947899112535716223518720416575293196689613832700619826554086157924832523659878045880709992716952655666689604668492311640425177597861332592381244739879029799296942476857197558241580317016785580185875000986304001050679376409341789776768443451954972834097685010782081147164410810133959009931000115134384176089286225914079941785357660878460890244901024570113797430337484633238859280709927538184696554694880496949567047477738993065572753212981865598008449823731615378125179515832594714542502594162719868861194592708205318639758250523200084725362620760052542737446877744310645805919757292982527184841168732168872957739806614292396801173843894104592681604837395475459565399086677354275883058593641565812434471
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 2,365-digit prime (182 intermediate primes).

Certified number2,365-digit prime
Certificatedownload
Certificate chainshow step 36 of 182

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009059118113 --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":1100000009059118113},"decimal":true,"detail":2}}'