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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 #1100000004822388269 4,551 digits created 2023-10-24

Value

292901253678782178527065849674869503817159131752620508629605108707330011674303050760138047518593726851928410813031795185048386528657034640537180482426810983222020030082596860169426519493434276837069663809237458591325516398353026664743280808164855634414274108101354327116618709875706876050499906965359309246493848940790329266128812495706863542819701964837254754140646330128048012482509840431225439435906018704716395942950050994733595843051737755630324121253069415661293258171241916328178167212984484593081429662242384911051282601704337831858910048561312437790239513504828013685385299176505590492900935371286216149450519244125224200612686008419332980110261354265258209032577283670325692434205335460858487388544481350810980755164425497960749741866664698683702051749808025637024449267917374723057863311616828695715251863322752996574966110453071205789916935501224769741714917989560592527910128561486467534380715514183804907307358755597412623056836776571070109622110057462494196336711509080469091860482281801386948327743177592428527558757242839914405195530944553938873501263151045052515266955462354947678265285214720278022224880223591078456062849433730853269819600961355928586788622112523884952914841887421326245519066938061363236663045177701855019858078072682776598293073342850384655556165595214097853839027945972591374806917077483752231442749661788535375767196587644967840075265176369151356428011496331537167828325068087040666572031820269709481071921960097265516695955969359090899543902214012637227346569369297915553982929347456326287212082617275028836675727845261507685949980597356009940614362073756278353930228321265949455507948590464582806530393184848090733065680200375927346201173743622170068238707951100431445378305779814454775789119010519998896322241653303003899307511226522154700020212341863803784245643859080723343866772905072844460385041651784786906437120611503019586657054578467248665660482490279782129947799681246989043363801715092778349699296564947144576976116936913742064382484827104342521951069216275347008697537759285567761029204023064173647526375600604555272411285334030352865000172663773864788943776054157172839331928287514558764191674552292445008577258992672555740439323503113723325300530172188631990863981843119077269208090722845730620193771958987784959588169337913938478261773164300070356637284901423750531773882276714015145962452083099505776086257974822862854835496840199229577037011836160969338366933273229666669108639961486252839744988596593274560586490739517204707651974838947053811577209282048542217010526177838072346940375414683599360230877658397889837039168643541802580833389993318642886222241351482868829857893165503559468039999477387519272303773928563749087515283003390966144593581770866875074777821351075288108171096457031705452999789086584187624674391813890821625357788514769861946765026413016193459884290738396234118123982287366788447676118251421624194411345479218158520027565505749376678632448642536621488562899292538356513793625610932818622453881047221954891021495325659359871195899314608078571107584279068593953708043056954481140249961704169719073997475476505932038318161735679223734477091128998647488572547195263239555080715761742399084004521366429561650477455264438318932407049019594749478342138320051045260412268719114792163011976685861067411067279746014942496212340702973708638154271469846819193038571933171924642614480758907271184175725618015665814177482875428315401456434661454126335984296207063919906754720386726058383241280878578075780410323768188972638789249847427235616334624607406008880383380739408744507085560177598570434656582242100941570841354445371359500809982207810132554906462715626107131087942741347287610862611511540730162140348190855865724778862936453009630224467161640816316415418566899010869795201974155148419547661698191595159543462835868676495739262473728737370468940185223324347730017730186794133129445869678526510405025665639605937204012832418199662707134981175697459214593766149510067416578870918788989717946535826902759617457295978922427623625865891964256121298621610235053827036811855781697256887453473739023847480820209959577648344102046977750714068596675107542935419749845633676645453440264838324403363489360293151416810702687529209205227775349165553209039905958565094039898294699294588274554874637219016549021949649271480612530711329624272107734821451285629035296308244552814976653975717848656313946999363054685248010503293667964093393353008635601756700003704023861874445726870186244326167025091759579201552693592742857406517992279383741125857083385850941632673693083946782582637248703279
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 4,651-digit prime (488 intermediate primes).

Certified number4,651-digit prime
Certificatedownload
Certificate chainshow step 12 of 488

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004822388269 --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":1100000004822388269},"decimal":true,"detail":2}}'