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 #1100000004813740320 5,630 digits created 2023-10-24

Value

17395908117899508174678935865469089355530942557033571384221476873421899029230598911333570517242758349861268619489259634299195930342000887292926150268648628882301013456629135094123809669908944765437327101781850273829188119216688810072059631458979779426338932414834570997570332824486204250770932864732723569768173954625505410268958620416887955771405684052697383340630051578543886399093775479704116443897798576998876292741605803042033082919383322474954069163886613197650144451811760370475408676113286605862754653596780899130868423107834684213830905942816865903187179862330229118039066675263116212575541257774109443958246105008646507255633485244906755005418056008351821874750494591075819788096188342289802363186715644229044147865190248454380380936325124880470093727983368460742531117501836333314962447220183887955233297887768814800395232184377575698024809813053391517683876960457708222994790791613363700457542098815779973981421904616264519168895339827618580678559792195758870034959866853559899479460819502000841275203657244665298037747786164305731694306060905813845625623462120962282766930295614464880455288686268368430243154795848268112725982302770390493466676942488639101071105252559630607451248955707977124687942998929079055512723351173856352733131730951264200011781910719766091475815931620128257808950759521320109034508997724865347125690016832637908948587449282771679041016043127689707199070096704729118411111027727562989085687228811921481451580265226167202399234304266160993982986913232770780612755744292770839409492067013191455181518128332747625794678941423961985502885955445204897488859343755898629239613436521526989091418291863163788187936551640048103444346890040630120922802577493154646582407678992695461137660101422409940007468137596152891747988093883115309399756777946187247134372240056980236553173447136534413460010998601492215584979497138491329351185035649168080648846592945777481408482556558002132209390100219192263067524539816502015496233420282583766407769214801388880467883868815455213503077944468749407237981107456995317987976799497804077773241040569779091802504265070365002793176299936181757791695830487764237193339847284788007260771751762917629005149382649639148050156574543956497320048287775081301633306309624110931311767779145269997901628048458236529173964001171094183531712264218453900243300475159881095521381960263270661220510139455393612663477073745036583166130806942935944910432373860628584336917306063332743457710135655485714502824406475181898832617500909501548570230038711798343184592955580465386616904054791939643970930067371586237071081943578710003058154953673946042308966500190805082611190958045411006064421995470058203882943176916744114478683764915026884239009967928408555673193644948852337285521692213676668155293169124303112274555023278077216442050255055126216292198066609382803535111345757059485651218865643861081056616094297521515805017060938252327610433013263813669881552739199892108207754460972331656236115335486821854826294205080308145202042310315468600482861197016062251549907151757559621412259452809330205558493584025432070929654672520389784627886845772914331936228716452743120239388371189140505516467450855779634996388030127318651513662199372084749156464975413406077532032544424304117997268435292305532481834079555114466063078346156667996875122730256338465069801660816717045997030277233643922236978508024875101767493417726078227224362053226868050631996096664348358840024438161334318010846836308897902244798782695367452729181511724225378539341447678009134113954468982019601016146786770219776685803647457581358792033773549086612973109558420540517880680822824359445858959050104659220471240310658408027318046846960375766156474425511770855387831969520684335250628692535397684683514864406091478258377745396071158904620707896750610043282095835358580133075786130768189095078715705599086189743173027692784810478532637280240488677523291515853560673038121570850222626486613237266883592087583719859080623175371116543119358551727429576590770463794700676898085313258217939760721575093414636942204323916459795675760195101711708665413428904659093906437270504524500292444002959509961228349665298187753306007374459862162389214301925400326408448172421695289008006134805484425388357469179711158001999630703385578074228254243763835573937222900179853964692297622008045279186545418887025031782925561501616680501622529901991205995955720854694616171709074084294776512461344092280750548309924625821638449871444028892966818305032659128256827148619845110744886979691869345297164224563098623378697643891500526386902490923689000005936323591038762741098109941812837011673310628339957434785680652264171780686841941079003457917966627614544720607130154804095993556928198122923257229080189125719414762926639749890260666867191083912586434993217018588158782251550533702098624325449174476934817450530353629467316263052384192073117345271257630788849988534500833223287076483715479266024959788088123831395926085601800996961183012250310498480406003941189674167220640739646081079375775154656177729575207217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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 46 of the certificate chain of a 6,136-digit prime (628 intermediate primes).

Certified number6,136-digit prime
Certificatedownload
Certificate chainshow step 46 of 628

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813740320 --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":1100000004813740320},"decimal":true,"detail":2}}'