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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 #1100000004915916431 1,741 digits created 2023-10-25

Value

3763827342597543144663275433353164265411821101149900170497626980523557004875305483738016492112230587150859553706319998106501595228589781956490464906846856964749670018468546312890799498437585770188187014458952582452946641148392856593846354745046217083798441260938044904040632748582135838512488709296075058274242721017093097424003248918573025073207644675299024346605581507509434442881683707880225034472294032234970216051021114276904471417325077030839032185117795554022180193567720616694797372387318966760126704643079765090966323355029016952959258976026498376879902337570530212807341828196588828039662899066563999847142616730136088254919065008671098481943922788463014034878469568383806505567390237087000995009947474518228175908247225922803889666001917431061226549360002251965914310183929795475047649196655827936245291142269489662730932982940757210656018133122781988136619815535069263990906947486448880946346534653270093386862112575665226359277210908939135532801659419291857330866929103832272534659618696124239273739999722053230600496746073606766958688485639091967530887674278346858854732912446301216185664006570155873878796571975475509327021731521665296421454333992725079959992924152652495769749876649437946372055839294374701062054565601191669100054366831065795046625463239525466174847935879489729529063123473498165235027063006069256251743999279355529021008562471255144976721108818706146432271871202917126143127842163585124567954452236982749212678524616861551871876731200344639767472253032148950407255558065156385236423901988685085272583806468475387894919721459157061056374811198085782822538104242132867017140656126277560892062193583704260735864131958536300239583591242767531799310503356522989378588027971033369991665630585422125336754959906051
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 28 of the certificate chain of a 1,988-digit prime (225 intermediate primes).

Certified number1,988-digit prime
Certificatedownload
Certificate chainshow step 28 of 225

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004915916431 --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":1100000004915916431},"decimal":true,"detail":2}}'