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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 #1100000004814163214 5,026 digits created 2023-10-24

Value

35060500978537593713519869928564662712908139263115464773315573117778195971504432160251748584783546328497820564121765432083454126609003308000682067281947497267312967006830400743196557483332564853719969821445879090566509307080254743125526596269871794718191125294062189585137218096056080840596337316441427839219881551442303080286219399154204251947156651734463436624756524893597452373805379286598321746757084608560375262084897857520462587373663493540679191429202871589047139328934808264838443192530527374571572228062542616506329244486030619064688623878702540499435710503921337277659140216720079075128198915924574769163713430095000497851649197107904203857348358155438547855690644016911264713474205722435569681242738702460022829775123095491308372025187344559920511386307339475214475329178510463898876237269056279500001622538922035283431127943373871766955857273880820542767240051526477802910791096229425185940916813323284669361006362864751574793139207956557870157772724246796547373311380639705930743139234258827592857778329311555080654981864982523663372131365695252648841534347909360067699612331483397269596329873706325039940525577457398668789003232944048807484083740939009654048474747054995227880395722701633734898443947010277838724434714318245954680325176222027704872074840667995322608788715924460538747232266436969788834921409322342414616548665739056694418794395009958876385963050961829524380372067090132720490547262589030748478446476329919554209065321925217428214262236544564580309481187193862307255282045343706681496264892555660124752461956683195080926850563061888014146662684848101238639246722720090571436123327285563756380116921868187900813317583840183953682508338303420339170602362371159468284207696495798754352677977565887588019547906394880330349860890895148295568251120217009776357828893354329065180976755772739984427414338503844227153344436392215024559811720474032953172458448863957862461190526959777093663196044896220070688764102700952976754450996815534396298407249554053614345538275787139079385342376728799861215029943320342691276823784359845055989537788243113098013865974729058336427310558727856780707464326608121880462359480909272570356600368292971011479489983451466663152530795619807267696472355868601213921366868263100214493544910442158092401647390854079218434615171286226959278885543039321759936248725500629960341551283755704781827614057856958464499049286675556674681974389724993139671075026523678685071797283957007853557394896020217467625972977330014210903130933643003632609194677135930975283166353397217985510668222614778012955576655386853685937483476708340690552068775528677306067177010810324332301499721251524635671941411793442722212086761088974310952915933425791521526654910752016186900586859533145979296363333846316254787917214706526304963069140641089207393124610771714248179491051204363178153069547373163869081401716353431044279542370530983913647826563706715585855286181379702016546970202626828516317178953662735820168838931948150677808422477592815033017244673212043693349628690241528368384692801648367430366414223433082268581063152518131363221174698080124144466943945384707007839855468034568535418260233984848295294941734639431993856599195512938233385914058814092300251172174613924035594094266699103642986920416741797830392122399233189737969098600198664529043679014059174090819017201347185869046728967979371212847269112202210927905262224869516444185572764106839916211529002763470358647542528212738188449532284599159008587416815289336632189144441961865460503865920077360180063249919655225177946586279688162281362692362588655189253020322328664545969494436782051589305630456267253519054994286935910831445139685131874555629123511677910592779300638467626339765445619330235542189669572989284869534979077188869251971664035684917780809802428511261755865562475971792196529646695882882862458697290591208053282433216294672112839818442870182108625833109899018428535494100918651435805395630374836111169083058301758824399514870321360996137490651817695819438087196409192097007186607502479971818585302500508145621419234845818818774824435731105170925883395962577518502706104449910300301244818319581490286877654325242822043621583062003122401978339128053138763302213179241738136787537135405597751474407993955358356964701351373515227627796024129831253317222642156301056042276807001244654358029537278187542192651383396136784714203109476047547122619813273686743945063801717077778976657172070740987500384648137815792360062754118403424434720110426660518581673483814899520673674585664253344496792225338315329977505536163118735411056865585174344929941081371051599261120704847124177871241752129113735943698966318970744716948236039600747095649630116396253520700338699694604745566715178052103358153787578896159085917090033684124619660755742180067482130895061542017515010410734426401160908154817357114144919661214707086767899834380134898914412726606152946427625756231188012159965620452459032496217146700082045676234065537906462673723780168011043610336285726465322730229361523354592432973491139227908018382922762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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 5,882-digit prime (611 intermediate primes).

Certified number5,882-digit prime
Certificatedownload
Certificate chainshow step 82 of 611

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814163214 --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":1100000004814163214},"decimal":true,"detail":2}}'