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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 #1100000004814384884 4,384 digits created 2023-10-24

Value

4957593150472418737923718876533934049411817537437758232385842798906578957214830668059213493901956033183895692430020992367129287820122748952078426745125837158315626705293354195209412282956649431130742704649978181342496500165166694665593548306131789948019513936369815991447120943703771762640054785349830863815628535783539890173089972066947930560416846857013179240165876998873721773556367940741796757742327637979846320463242709151850048131128679204401520606789364487067777807474347278963456839061294210254444564841054088806792238290571818242679325286019004726776342490736673801111051846849097958894303738273711473190195502418678475069710075163403860313713718146274864301646965281662270040894304856627961931518475237235422251367831718101924797279221151199011221064167611477216358434837516961909625191308118179732896511298976112635967775043019195425007741380530817062296639809177420967308751286216810372877545266927518692260270926593399359145568207099252915816624504331627583186564931488583266867771300839457514439285137984369633533399745765197792500608398996963752210668060583376179810324781989552012413088586018015350368889620246822080623084744992300886100609087981737914105536625116302595604102808713743355298523803265585121687797368043138238624021850952612980489412658292857313765005763413959704049528546014781104048029209579939845902409634082465886095571609906315007547415096826574536484390404463879813490617012231837999552323126023198790088431717753999484172160432071348061171045827422127167330064100238278260088701960043797255225425883407587427311075846902704781108295559273442246096887683042445207222364060995954254398910057923122722670840548172832610814930513299538236575846209938611016443524533887611196466375500683230628379062661522616142302321510881412690211521479035999809330441545831968402585684061529333039858589639604294017526516931267837650868753730289391007740210571316447857775431945913390432639489675967014087467153876637756291532068518196446332003174241556525588103001572506609551293428374799825752810771615794893574793027583830440472699639140647918225246813777559155169285879463386578762200302604092282716639269882783621424534796065342320929991155282996979755531686540040546764032214289773140123028511152143175461198414341852073636475551442891336060928909663475795568633118004520969174960870121136819466006184590927514931404455990512335712925109210170802743097866321570102023576721310261988194025249218375561111192805688795739146926403632094143400813456750026150012569028541495379149198502060475014799330947985482206734112183225995584178872282832682012043964121396428853467556823028966958787093578880620355940078090173931466816623790860492056118788407143769191809536155610035629907018549272514747627745944890249313751069732448863405334768766387532117984068174512486716415926754315223313893108874926320672101529911628992111137578887823353493150609411884076679875045634220715895975031391913610726200459440797733773147198538524040037805181998284139512454012218733901610110171473573781611744880425070977368017706759214608961776504561415437083809429045035585971507775331064413354606411695694328886735764592491891054932183160359203785315359243795699554848154003280851141939093962449931435671039051264297626207944771365328049476754016179394089844100335742180695599030883950565301717698768858776509088071454490736320890165565592427533659179761590910378862041001541715028458541914964940069003778751752258815382938059617567501527272759611708247839712100603712487792281038319935358135671349632453849692283693922697186813418669490455520281046068707524650044872309995042628308277404259754118137272698810334703366549700673471353636110207335265470028593418823017483168601006835604820597380184378575446131424907239497112020146220752115221924008155199215608781379136998027995696041569931636912469949608300694453665712992214395724002163100518609458842044450444421591666121146722562491108865463814666339984202025622367763630858308151423853111281373003662040210006404013293282905767740328508605908521190842970785707552665556133162852985285453818310574371859751195018249194524646086937496243955004961724479995398588514620797109329490702059428634885750278552806099819624896888660178906547657453366031957867995673987525818693636840065717576825180202512964674878450473817371225002819228680947684227956203369440248208479754492282932467131711617985325750490221567878974853561125263296814573997
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 167 of the certificate chain of a 5,754-digit prime (776 intermediate primes).

Certified number5,754-digit prime
Certificatedownload
Certificate chainshow step 167 of 776

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814384884 --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":1100000004814384884},"decimal":true,"detail":2}}'