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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 #1100000004828253569 3,831 digits created 2023-10-24

Value

167269352256352462092772321111387411233568421289364295596797557790624221285216195991189969280758271817474953719261167608543557443909471052501867685973607672163503345239183847874369037361941999632282504516120653833470672663421106067009654642605381930426538382804345764489115804305047333426418382312940313889842582832351139187878280500876687980917919431356395858448667479080112794285319154415862281824275518824600787736985937310363959176204057328614493451772287211873349340236867064908149872554770514356113102045223387201768743194396085895008655453103410971494736712090123789047569161243851621605680187472029402313595313963433820529177941292289388781446071763436077888145742519023960511804093264240354586107953963432326877747803062601278986325373464679440675821679292497712833103393480535082912942314675715172396079175595694369707370207716225889359266181634414238226814657886760669870545834271342865326981380818521148796047839332334070026000710959019117369622245418321330436115726717380665700575855524106036819948018428868979616244930026169227804020424435762923055530582512645221532731533536012371824326924503690821792169329378121103603641458533808795775036364743070868306687975727365594368999551095321733153270896270957956861640987629570254888244647371435018811084827994299723559495149613829448766050030860526626074562299309006074344565861692897401520221017493984798960160838448251688947982895737901250644428446295895649209873254714147254340355239279266784203747082077731740588834324470782548021235199101409681043161040910028340825002501764922250276237203052508812366076509242147520172417664835359070028064239231821183408286898958526484889358168849142511328164346881063285036639697258697067104544612175609209303309615462661392788672582504212362902947810432196104532150888903737631351545064009409657306007397976592446980283533768465115152810290076030845002860748201031090724158273627981322896814604898631325117515949313995918206576399735549872549183821580437830241716925859106855228530434403214195532539528418628995629970586540158588650404308574487143096154697372008053712839204809117172469810192431357752838426117800728063854820434331562559782700011628822479322278598651739839344203065929391877358736768052575642482455272259322307661495713562463145698105247632533950921278329235417086736785779961994578199394391622600520142806301862690117246404904769727489676444148888383670659994426405428328867216274787687626571246473714249409117774665958796292522503907700187569701036083162778430477051829201416064651940161512344446087905907985304648289579561835185821948983508943557330921837761230303861078162323695895625207486674810657256530488868636901069406809456232049817777370934909907669926104115968291491260513644283900733479260948715040382147123784329024228059862590615741281434691532380560860996034920501243257737207234701542970891061732613608821531230841176936918468496551768993740959375788501376331606687369145154150422545640895864460699266509157310451717489464428932987781704232172587978225244384856547597711167510933789124521873773201245602052200874391764622371640676653899478739586370660993823560885198140647092930625906912382142049849036875532688218987066550643025351938903464348254019905312112702865567170136356857958542264287154901286553722727502234826404224775330386036784302757337351939857840807434474635917705745771458327423560655048364302660316942032777541176842500678189997576462837830308074862513163756330623895575877229322235359643908960361179991857215987809864588493083166247930919432570116615964224088473280275027580286037109356388974182211798200399979874167910728769494357854457386187409840479740569342019531942608723644703549388690732472432704546926875485459550939835186790395179246971754248361582792080282653744569787119210554966093374213631708695539519506006993815875538704368446312062816039057612969779424026168577
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 28 of the certificate chain of a 4,113-digit prime (450 intermediate primes).

Certified number4,113-digit prime
Certificatedownload
Certificate chainshow step 28 of 450

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828253569 --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":1100000004828253569},"decimal":true,"detail":2}}'