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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 #1100000004815174813 4,145 digits created 2023-10-24

Value

14384397659664956921319567250682557383266909836251636744723976809465993933679017222550035822936077860588022970228869308025850579740073418823673678943422556015932946262868876279403604500489431550510724172316554695268680088255843250436423427739679002852509891844894530465064889598844657960213187593322692692902250128161443655050902844528789029695005639991895311164594477449272313993185962458868872864402997369587496855342534670450938691812649885400050812315212868342427477274102615527355074139069560783031376781856838773422039156333681265628802162630534668692134363654854836374167797252739502942175680198361537478369515559311399295412121291346113994861108917282024344028898860393325703690489540722905217800989981785667047810144615755852420831613988137752223187434888504876150264957753258091009496644676447871659775972380260712858458590585008964611536566211734878583893689688451542853690926956428324215933018110368152240799079084013311658756304220303153014658967714062128518402109164188827164461019630209890295102436405657400472950925024403281648501984671962578093827972100944771491197257634315786048752549900179716315607417047345143766197081629927061581233573677332202570283526038135589656540962314045931997201282072534831035746571860012467622410576225033959219557804465480504318217392115562850296922463598476712277904511655961072644995524108242352325606865909634431704382710587102124791832552708696094668875728081250523968448177063482438362925661396196213168303249028681012296448035939517121860631348040759065970326421479010318329380903954058433855580085828293528727148498671513482447576696065721147068431529931163841129423349945189457327786379429441944118184108085802227986359995925459853191000635548600772188378533926258230320850089868083972024700631268900400470861774134601968652624754203242025204656903466227261298067549285451334601055161369733107561603021725311339800237723910811120310863887932309068210975223879700272840295768960325112581656436886143042726401054620564789990011399169895699929896091004417065197780165234819796126256098353758551224459508452173099988595875193333278300432176268365756690343767949326703025451354250983077756224620595182551570934293568037513548046282785740564657244219399729901856502408823804600523961156997113372343720899650721556019873158423959270887220614605285249534509222250651929509537077096731393130390154182513912557152406153354907801481692169631406345396796402495545972203709495686085165414825954035855786700031652634606257591915766224652654727848197864102547701529531838648962033974315338248213063535439308460730545055402850037670227316088880202709629110486699883781362077535018968984423225527319485684423015009408270041248035925934972555415102511014932668246915987850267427597684440278014058563708134539118192346427581394333051105702272926179063868380926378994318630316616938086845998674862060824980927828735286480456087285268296560149767287272869920869298282366585912804849722403349288920871743521403222100639670718168684494679134001443718549749153749462777646046720645272577035498187232486779397116735442727718249821634876152170985017365283230381422975872343982427539166398771128409041122853408122490086126069866768893317567575333788223950183899434746732225601209821047271710980638400704611289868794297247948278488599864280270761028821059417968825583599291157280307948860933919988323745123143057246813325010633062992428117785384439700301029885769653584645814604862599567948019148222030547610206923845887184267087512673297349604831692544810578498078443882977306060151912177854894440741863548070650517274213298586323435296010241332241659957001097071529064099828072577650291154377625972318699318450927214452750631000017677510647329381247535591171619330107805777195391646337011014171292680599597323409093444605911757682540458178624631455040833546467004067861726367038271165015737423323917418031222352138164425576858643355950672307357058789636165307124591910150031196902939083317594173158983564425313355108433030086128092410192388202486842707312099755307675423861437300034630302192227882247001076670254076344811898640960612563137519426477864371727011042190068383056136187159340456914233804248320164537879
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 134 of the certificate chain of a 5,517-digit prime (577 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 134 of 577

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815174813 --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":1100000004815174813},"decimal":true,"detail":2}}'