factordbrpc · fdb
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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 #1100000004815173761 5,381 digits created 2023-10-24

Value

57428169799948381208463892177235629852760755218705892931571741158663997222956045099013020067594857382715576309830855004254512411084717442863604047108250472768643679231123004581359598312030531640854856159258060212273990266807757825799466020508927577675859756298174158049477528192732700733076292209714161018843797655946269361294457292633678281315970582492774682003708102699724691350295806008950326989995212565609457938990650114075229715969395249897131601013569378018050675498172930259386145887763646602298363603157911827658843478572714308441252029574388305919076904278961879584337810813577702809921262332386154724016479182674827628602592234589357106926363601299202901824233895684734060873201601655704360020567963897432339829475192380925713742224536036280584556909824360707497542806157541894037555731074565444919363095546596247389835573938045928157609820555644875591519187548454003398989359282208872210758957442374403665662940007879464724207666632876270279521452496308772390150465586157866523889689853478444483664397812430287794977328202501702583689611263969138326193071538543048891542739042895287293246744283079246995835724585162856664788915251763005079401362605090503213582223020913566836716995341224320641355848561224024735419266643972828278079858081865766916224558136965576546766877488056814770227512866052508183589442947931647422503842634427722329019598190674742097481765146963783372845784622096562614093997785376354527870948835290880103659015905214931808261998384606373547607531946106665320178783961587045146385142217048134777475781969860931198312280016950749870092243609751076710996824823290455376816245694551312556410348867440030975954802384530184561475191731867219747755956804526936793731066390891194226113323607774136627890049455485217998791293254769281072462064361917265942970796913706319875032550802795742787597769832761913323908553788716835371866916043063006675290748374852959522550384425365086330202512513610075078795924245222727138760984844801672060438150627438753031644647779853111343381463807458752210394506637124505259516646379320224427974391677001897641068160853420961894195002143472187499153912600098227433497087720565431163471871888429357261204400014738469249226342340267389435776231803913047247777250672692868541694784535023915436375146105925664818243356721449112459570105320165076842817749052356281891947197336157268118060010930344339602230149560353042898901468473753423741068322137986645311394989278056245693511074041790841968944634779848335112078226435107679759111192593854827847482462875927118667757903949612395466551929552426334134927113104891288521148690783364364696040791669451270764250758449741059035372756645283797722215828158301091424312429532401391306114688712754408158400892950099096684333766956793947318068939457524077383202729939839534331387160919174174153922006659395398662744801920212229924348939029287529488840577923944812346583735016186385192839534949019924325786203578270301739284846058875238188443715250196961244148029446425691832747306521110673204848960462015486929676959908838406720412855043638058341316540889520512075434848930631192738794750183365516706473290819350951197076336181209217585698343149372125818112550792215220306487735702173583793096093656751917097398265186028154142809856274877833464303615028090732154273470835415642530396291391226417998600107186518443291199441429422291248896934428393942830076299650022293435338965917143104934809241212076606771389513993263146309139467090202636234161279006924714941456425713894977365513890566072433840409310970189694075235075545644507413169890968054406673318159179904984977102235715161556908363552867061689731566213483957841365896226090503483543188957581314320332210668516743160937468441701989879100568421346060947120753412246863354563969709069199458417708195972938816696057451904324765264490396955383279560705479439659007249060370234182826750138684428100394430190264896445957914702833425360243386151328648747889350443275828026174874728528788420435820595976024566442964263169268906388936911573793793585333398444478760660558896017681252994543301198158575453572990060021256228680018679157011383914923001144900264371997039518855617171351729255960657952816447151034389565093271250519321878780020832833280445587758141452755436802792235716467039629644838045393085881563037277727898078284115357206415483002627933177834173171901428233561144634215255729912819985744948783742396781503324811223325671339667100797482733398441903860152188014814938330504520604798087328326783733011684531927086090872117515763957446338452788927715914596757433672915867388417684898608981026856122871415859860249626583263107559922808062038192569087277881358239364338887615735259775607753748659408255190369543095942014112934283883002792635665442023856847602945830717034067348328043825633601158279001041475047113175321162592283304094597363380213860439831872810220314125736530865665028742114582816193030415400570254109009799981814778127750122115670854187771105599756063156023248938533803335388578334145297411950148371264212696085476625717337729640839243489189431503248766441620598172276853856110315409801504767297567907870176346607869466197759886399138789371462231598342850049603029646795153578679130493246779189735870220571337653142411586262055928507745814343026613822889394340582911018305762118735046172591606397622907822601001572008620227792205961751200027708622812030525355737564387563682160487424309014160135440314373559951
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 5,532-digit prime (569 intermediate primes).

Certified number5,532-digit prime
Certificatedownload
Certificate chainshow step 14 of 569

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815173761 --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":1100000004815173761},"decimal":true,"detail":2}}'