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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 #1100000008647988637 5,169 digits created 2026-02-27

Value

834117166178113257980940451950705127606827077945898875664837683669618412222905369475007851290848343172920933626626729399372571855748799248472793132693183972117134290123489720748856147568812244800988980293227561700531585616702842593215090766095889885533232008993556391970225589187212074406639741371637682903174647378395990580678999317775209848056218414336830114180759447552649814622344070573329961467594768111886339636161879377749315363483187694152491544130385529025217992546723617991166323257728494742489659108583406575129703296773663328004344591586530897841159612844981910744158251952368642280268361307179221954565297224197780054596478513345052294066962064348412007890019982209896414324633091663365964346202252208472547635395213588498834958613583810896309551041090084373710918043186677219690045468904431988608066710438880757135027952902982246439537387720068294107935037343413599159207581462166390285102391505583234057627507461127788469720916094259015853725626003516776003993106740768388233461760638970472506780319773749701846175249013406383291740096474994977655825818869978087012149667795622746031981195564911960752904377915962314642889807421451346766243295772208573485136058795616021462407974236942789068492287380118203070328239555935393220158693883151488887300164320917342000171129519134280340069971591778952698911178369495479355367870728098145748246537004057933291501585188094316017415692367020231820050965153885662272441570615052112362147280023418162598262769460852236107514949268242882236023170300285770146557811500389710333591094061611321078648644731400428929203896546514323060894026292909015392313732636811922806364141584719129599072770629865271507468085897899610251596469465526563772169632034389386940411326935241728428507545315235123170524232470705288311419825625308338276330672452210261367204391385635993350054709748607476986126022923415891376446787583202310354191358886819652461250869046980784717500015408537962480693142277752937063298791607605285790634191935853977220236508020508280171321191350022801201938958117257493873364326584329998081202117451329952910281944850484517446636130457460546422880226797389908997457487697428228142496278899024397437034660568771728240690323031986317773872744077439132288761496422453019839892780000055474648976210546615202302499638277985654666241948469767456440775054905839636303843842108918003089101381288880420968859892318871186194309861145850651755538185731948605257571561260813073212825509496820070707648525369482998913913592224402644382823092640484041753549413233372331030424307187824665086213195160341961301595481602650755885599567238579892824010547106750575396426320058709000125487446446183689501669963806606080377869691106073405640868195738562329935563494491476089665883804275175112050988817812188617567596833850425229756356896883364115742138554726583704625181534779405159815775586105132054462374814798255142773566799033922805938435844521203679551217635880661055220186724483130083089825640315567920234757688668015667706391276471537206363803361787501062597557100798408408295570048579819810980226523989227105670606258331440720553155718366704613448892562799012681868725814385431461670645648233259683708839924214570495320145191561563066297155132634002888084761272398231613792221401297649146916884210643789455472083776684217815026620838270265313989456643879403088680863512961601752180022849719882620349305848991507361676576368868439384110433815305453132602904155281398128507791781297576303444765918616571709883829085497951927847026063268587283602730331079195984701262541190286455102482097523073785426227578575739126142417661479463190479339922295428074549310367049054749166557344950527208761681435681528005344783322891021188384057611752251533353117656138741205583899052083585489389757604592336565517448487829093216572060327432873478812883057869120970708843330403808001635197814731834246007437020085820614610559407930633502907498141690962611239932848803540860945563312256165725655325237728736587817384172208136791149904339240937635851339803610480002401344510737851847868733631571768256496413045906366507462930154187458077857277390781087350068827655035486025111709201372956300513326370959771373176817074866030436622092042088646206670456407609178068432300346032894770298074636036098963709716812190390683129324573736004698938106521459858207675492897486492327460936954998717256084922655355179183136546293392103168782095156709160092861524467082557642010141093486012406223868119413004367223149838027391501966680605489272349239788304814119008964156664419299507093330079694525620906488275640219497100956339499269215890486853921959367792569962855993019606394423087369592608855688316373461887264391970893278430423697485204609058968032346153357144374915633916161616175446023874137503177684716236917072216203579099860278435796316838482134352218590105744943655034365828921259340483539916787653518103716965399265424737314811930220176446979862441999542503081926200395068235501082807156049181008299028232927257291433422959847684774984227683513260300322231881680379332716718323215392086234467436911280485886222992786377147248361053889066579948130936059247686073963342472861112061619347117342762935642306908141643140595498320506736032609160077
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 42 of the certificate chain of a 5,762-digit prime (378 intermediate primes).

Certified number5,762-digit prime
Certificatedownload
Certificate chainshow step 42 of 378

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008647988637 --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":1100000008647988637},"decimal":true,"detail":2}}'