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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 #1100000004813883259 5,762 digits created 2023-10-24

Value

66650476180761973575210293931247430796994375710107519792259835054991816897107871530491060127173623934600824022421810585487304088816578431619960202223998141868503261060265587067643762233024041487555744368293036493295735885989416062573560775375455320955202703365791606149115674692818661306946839994405639126848056144228784386129632097510534287280209966306017034056943617004513129581189302130098670669684440461021808238101544630457291537592655852611895365464700559867495155519038297171755387168517160345986744844356192545433907797702491275731655808827708608425941132495768991811678753860198468759487223663868168006031509230518717933426345687878738314821161628950717674456721982403033364609242711990650993464889560556516342818917528239444750165317539431593814430857206291645419572852337674237660476094175960303636807295692132362748306366849615964205697853598309003659000898672073174457973631550286559140298012981457140844364396161214405368110655876899065196207508771003096999986489554521770807294166210960517285588304557481998643418919491691911771174947773442292265946089078198912778664407574419765725212984987177502575605289225070889262518313423854475527674332479056803634042608682635268122017296496997199112910236411820638459634808498172572518030713751528407372723123028792806387779644481672460147974366631955286119642174726791439588082382653118249503309783214795189286815843237201133850185620496727210285163719614880759125647460306465892041436692876791290518562941039615227609215233631468910979020562252553651806690581379393496910685891260941374654542039669059545984334422846238796406469511011386846262731611238107776193232234305955450791956487706207047501047284345204405310976540759263616999095349650127351922721168551918341594819282151594285831270611705262624070422065027947863736429344256137778254204873570664493505258008817791288576488588350562324511827470518128374520986288011499678960653517734972512160868066606059713235779850772649615046283079729727870282478748976462612783625411602752254823985835864936193548460820171239213037291497423137817667091914558476381893811282678983697767025837259862342622645977743081215783849902353408557515321280796616702819772914106622636571264373115271905533440401505426155477824176852870439533446092827953124673212360397033399955587636022238347069865984464092581373077329333064337323801591215013229313778577865578488296425366892526557138591375466000862267021478576074329836040024996526610697456290768434446964649899690346344099676070202837739289176519694744921182123496824247314248033844105702062575496370047729964908162881343611433157343852782773328267004576741984119726720825829267345780526806882998640678612369616443307562011994228615563029553085793881496199600984229970276321272111456017524117716826788907670252237781385196971921481018299680651732681491561243308633065364987405521244092452374623995041597164135243814287560205908516213295897761210680379542140279724727915387439065261330791957107500556260994268306679034851784464900115478920401296860582691403241383643001122299604171910554255978469107891441445628609895861428596829064587480842612863178003083732222516478030206189841263287735681588373040307844202981043357531738692873208616692584602474512991217951364208395200677032209438771161489004545820481577387095082705216793804697747124405494477896189816781970704739356780369569522480441740218100187634490398249443710658788120909989131512603047660351451310072025260982870496750512891871120540260031669240814130915818657112781567850646568708402897409273437469024954068395529167072860705380553373319811221484989785038444592637797345486686354651025516716389316144855108872679109905145570456217146877044497395302972624188470602181966144847952212672582336445067311421766128384419100678530287229464617745991219659225459135226818504909524046859573258502590821576475239082220319809126595862455504474419559903503945951666346609187515247437495784516167693734102659831638457626490617580300016193516378437177864868719130095917193482490789431320157889832056283928041869852579567812429770957367714769749024561637191423640212214536508670705198178970151222716213628555343896641142937213104565520166760321139854674235136840160248754884839704673571199357502686797492202070888993839171113287354340067761968571765948122375914421954438022107055588684665971757483707339308375227639145740380517800714690611588964526071820336007548570908122766581315831487303621713863460663622514315413106529560173370777202754542760020163696312825433480112722205181644907071811932540518809443005887815174567858176446519569887785013038238552189872325598792351798903404745612224016285275268709857878150712292627241002338699557653652866022041401628267603511229239237429297100695056818555567326677204637104511580621949083117016230059083897889002584791953167479813168338660065873726318966520650646570544440177148919018919107707843164313213846257854005228138532553154223160861117654688195573434594520859580202519166110500243810798886207351275847361673296914844238348025729250515035691574755116382804553333823840825648806602473285949293217946141042646577750922599875900386768440193463587105436920654358147256212618121664144710258462613173252653545372852366314879200121609489465285084918550286275600747981829921788920746979896613067152861704415857631528605840164829657405783771938438167124435042077777043368574804567126021386927824055450344745330694316741734221557057863994306644235186434972159605228696232520819124040719183475008356344106140581017331347803412511309814175426355386942692950179621571388035342116796968295660338581902558701540829962404656612173698785322253504251907702206716662561844459778578275002462909031313849360943047779674912742923066393812560235592210942321051266311429510255277982318224683334882361056483496341832783573215132922726457420679773
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 6,027-digit prime (799 intermediate primes).

Certified number6,027-digit prime
Certificatedownload
Certificate chainshow step 34 of 799

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813883259 --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":1100000004813883259},"decimal":true,"detail":2}}'