factordbrpc · fdb
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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 #1100000008804870003 4,019 digits created 2026-05-13

Value

53749188346908649985177645501044817813046180165819670245784920123824131120114969538696931486251686956853516203743479159479073643959581193288314228573599740808393428089537108729612557298790742032086988570176612556845076688812017142441404826779635374599083137169260033132602533885111780087175075160714522393085310493142198340909487385094125569305731615919276392066238838248698162543905955300932695736764596689195503451837452243228804743110048360406147810347902785268318124750208372382442169948261140748663623360509085817339642253393664110977906680079876830443187030280969251964878926347862621929741601553809796394332085320216988323336365747717527951132460529426351779037062832766117738108163473028530072776913981837598617081503779997170617510964739502161107013204662411733247547898003911954949240464365809982679612686841964940265172290149364293774578776475186155248592979350067604986089143375657287378909503474398703431548618003951033849267184811655566823235609016323028450623974516718755550540663084343888725381463651391437929301184045207437513554208685285791384838113269676547197160255541877805180321908824690021466654713271003489927569607214522700900254977832262150288356823668356407663201006607071783104227544693876880119752952829402678966141826086507541219903641734246683354533564322077397000184975803879699985858423473019107591739453622878145307680167282606870518396659009428294154752472984082222284768327249524047948864114449855159767048884280369236075182372235787060789340197222090137940073132457497346271724871982178097405601514780517129477533839914251339808867653724400240998820629648106145529697785698065168301821288740207385922928909908617348377065816312123591204435115207016232096738084877511802894047271511715802996702796045158680011117262436106006478377043302514196138721698782240890948269071944409907949901078954259623670291784645722765414829055979531301508721817673407509126017162280709326157318035838374853137130422722122215178866981063735541721051507875565776897816481560113274504026639118731712811655217570062932633434578180501363554495878244295127034829194409814766248353639679690616752754954380092629073222293602156896842163645365602431627309641648112055310221988498440831909307142261150114813962466284899706293201026229174745447844030235558039931862803642890507781751755128895255446243791523205421007379380861894328101287868273020049360919495730114704315532422708259670269841904107984490547993235967155189014793591480928344429533272419323069167259942582993150782564596621697274683862778538169889004171203674083060740674402403312948731759588851060805897716731038889455055064545141099192344611590042562871237381597629917863647680071159619600270859447492230976877608632539702021783469863794557935538597544861779342367841527569851003388791253697940769584253494643185682746150126470208652910829142811553059390584021510483284862517140724636965254263406020291490519534221401128078558867115718120116625913886642903982065993239235744120360224908938364605392372423298657280370738039860801765530695117958567098049072667372345669451885213204018406837541924771051937506948525695247022692631788943731525278764715571625180233818000682999855934760494737621350556077476434607254988621484766797950300158918800977778111254144902059030543146637315138382114174458547940269264033498966571080245651067054976545572952839232775708237955942866804740015973942121324810678970673087669347799477004104054242813429344773730125083668159328338394960547753007734255360697844288560294765477299488982242055438070492461381077795550809048277846716356365459175885500078202528564283185150489473263413760761395375041914444585653769306454853570313191796445136753033363640435782305556083211753898397058067372432243389424460729067362946756060699774515357225096860055949697155114740876524242682479052066025156314234511846916606048237016713606605587856162005953544085147304817978091032294479591353253455168818515833861851778217499381826618739694000977890157551782435284575290089892552842152706518910939067664124361313325308610788931384902325179
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 4,223-digit prime (282 intermediate primes).

Certified number4,223-digit prime
Certificatedownload
Certificate chainshow step 17 of 282

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008804870003 --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":1100000008804870003},"decimal":true,"detail":2}}'