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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 #1100000004828080721 4,030 digits created 2023-10-24

Value

3494541058667653192940989759676363129664586730741595446056472259983387800891012988569984090301118952711164356862939076952182484980534865796354831319347773255231919883680879866009344274896500458380195134079532725910970237446265719621147133965525087906279540973156812026042610509343418095650454436487081868414307740255625218319914561228156734974644312370407550486285203270507351578822244204223672170764971681068361260215024116421638904273885610614806054790785467729971892647242289326883962427105813028203703772046964750050423610301566573360534148233338244435018179530228110284401297471258215238775857279741759864700021774098192044026161250335096421814996585937896051907161612832187857753377327848083135263323243262070477508144103274024765964817157568773116340568138316356589028085476686862812678012577641828788045944604490560306056109696357756166281834532210115745927404165397793748456172609706580805392322879450114329900177416077264481681549706696658768137335159292253185430198461019439626266760315978077034221116765781124700572518507081341498387652308913744742755056586972339768585929680345771623134521967814252735865800246262693524234248711704538977928064152361542959979195184500562243198035104339236225853417540166715107470774049516082567439749089828952196809591456737113971182975288914927140712049184733726661005855792320899146330381758555541486829426581787093457902330152268601627876183809890946693524888284204174936915040828569004345966325358305129989063495812427746435463548357996060518256737361381677871036611890503197193631512641160491140168258807138993653140590262814378559867239041998300784503586048017789678873561407404967732116705924450231553236136985450527624038615987098577270599453734904056355352010402937355184011769405011035878349538155422848322453613144969631055555400196354861978991220958911623661809706749134684002199851395634388481462889594716985064788803776287623455222124597959395443714844604120794018220034648346473843336012978856288334981555860969018360581566044643913158281868945806022475364784388869491735101819179621125579488306694276495041156571011842325941103281071148766991477418742577673949416782763221871211068498144807303910431354398147469863205538396187190664258937002737712825423619026846329264558358589230450889524160949043943163832572444977442356023554334318393559350338167985574771978150228192286915840546111062479122645137087856366826131681477669739757936468936127075876335389235490630242761105434460869895812780902746786137691296929958953490120497122718519986763536987324821974086060153953312822941241949808967749765020780727487020608813860738366712180349298171405390225417039792798748177501950613790735232593686578491383972806798381350824894236175266299465665887246533042303459361822781104132466851625877227582027185153612061738652655390553596571630589994823325199863029788230088073555810988047181125936809238914076736957177073298216153720294086044008140581414955598026758408882890473108591521145212202418514482464634283823155263873637194273471058035444938649178068450588600697495654868365972731463817527578933470221137403306452197253911996786827901540035835707726247877596346419804922610529011320324719364934492031210694505107741007912284313185802032762041208108051129624062008355035161212366196929188437505958003189082197678745883919854908104236549035762596066643483009302559584914630220933414004597812346310796379083845736784595975959139491053365574652411719388088068592188307298774890079086782730403912416529550031239307368470871538160828900930342081783307696387267484411837994999758015653857047956495638992987246258936349853751287156788132981678415273455273517660927759289332822327816438487345353890350754445150463003453447245298598185528541422660256473732779109635469657412710555366075211594791001008525017469143167301981428068729909077469065863399071834996976608482187437164711015255787262359151763864217766832538821562643428241357037699952538634940682294093323226616943394027737151831902167280899761826791413553587703845017656278009363148953195274845013802093188010544252378413579
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 14 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828080721 --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":1100000004828080721},"decimal":true,"detail":2}}'