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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 #1100000004817607020 4,352 digits created 2023-10-24

Value

97131244409282352160265360327707905237658634410914113513799828331262774550070267607122268123922481926697380634048855247543157091032238411509745331972515442379854143438693791759117776972204622012488392196925096453079771585533667871266325765328042412098375252968087912079271695037281820434684460645338795468875091579363942444054401206026373574117646029560106776707819929657220807795077596994565714224214175076931228114328193180210687435885671444013360716066810480606230112378306642737996534397256990199434098651425027801261508244354654092671934955038910128406388088528672847758649002477962931296032791966921447530858541416002466098183856796637875115122163373741119886220439528737955853081523374224910893295068559783132029914599338868328315972303096809405750203773908323900917566277204956138487276392110153240865826810071595443913903802344780997685109006448485457082805886985793235180331560210059583751828941875941715215521366283650285794843156673457419512852606093851737620804239332945456273218216171241969881702236441523551454043190044359887446149324363104660998045449417297686147862976708680951313177312535973112630894799982738901836627145358997422085513713376901077386213722875139046289454558094135740729589376246546244498859228767071472201255464731091558776778740110391249746664449500206909937500505483581062526934108400868997409812165434744432698798945514384399450095652779179310897836092283626308481416952289982035344652272429818104815262647008145288081575273835991374342269692627544879795328100217640694981176304628983331698060084826894427953759163973039905810901289527073405972252644834868047910348511037944559471872089164481205380885140601594510048474376288218069628473929847857632782151308067803037751159021983651059759234781779351621883597931322552796322896846056791540379689008501380235981186981376531440106500805004954086752590920938915365443230904264184034025436762549975595907683568532882643613187037065265013422346515587190816137023557897920361780313343116465595807379299169253411857751766972971372122170134405897854049537630381793245693264156046316110131200123911232858241493389211347234884700161397280544492038137571486794945077626361593332373211378321401164239685263907071637916550920971956874893522128895528638658024885892357178866565809655272365429511740014465685550984518730281429352273568515199872629178326860704673552058177991720017411432276153266157829164643743924991706659075161535711809428524560405993763882085329721091165927210497713563933653773405599988363277226802882836000609525201663268005938684668316400849118132188351184461144595744796288976918242729757633598067949661236886929540369061810497587368537406811586733641678780740623091763983866424683109010493340351716215243830032421473832851845410008820606841726978801329915007626605809416919959576352859113229869291303206322153037628410347802542380977848674484330863253022044148598186440376635909812512076416114841787166077683936734792965738891445335827161922234947783226692518993333581655855813508580389711391024541122841156058758047156306142949274607659530147059608119202138393363283306459807172195242075048979363277530522208346008162578097051525569448903398050691883320032460134024130647852549087768293814469313207707386084851169441676161179965040279484996107537225712332194761502221532679099761970752363507564225155525665192217791378769346141517044312561241306221623845386474293539956173847931902248739286860923377895941694673164036968945988003013843835009272911403678087628030171398358408137880472562884666771028255617055764814972045586125482900428670207978760310735812508259125723502425244508242912586819029163479546066335912577614692746781172422758597238886667355746595916081269447903140076057993690399419011010939619572135578566706960576981821065891463100151437222928652184908458746624751806062433341452883973228315209127553670769596738782025236105964638279956898288535352826946326273912438711065236835740021519648269044338373678400045980284706122018540496578751900914700326538541985472812490721522508225851638189022384796765605030741557125327585500807629339403202516989180966039439469825557184486357977034018015955732084569343390305518503436343242087448851869390921034018345054554549275833668178730899155239571579130567870526217757429336873136885909263546416427251483503678989997473391456563382397113205909671003669481425007803925172376257395198405601906118690357
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 98 of the certificate chain of a 5,184-digit prime (679 intermediate primes).

Certified number5,184-digit prime
Certificatedownload
Certificate chainshow step 98 of 679

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817607020 --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":1100000004817607020},"decimal":true,"detail":2}}'