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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 #1100000004842737458 3,021 digits created 2023-10-24

Value

842554297679578659638454347968641433303916791437850021357275557476638050168174642770906928401879963050449369882043697897532766445787139442746990319771205737447739931926752579785791514106289226411938525124501775144073807147594899994329217495021145557722522687197919683594697223579042998777768659032728134137781030873070018412296448357005086647573903004205377077404015004378816779400360098422037891360881294096097417126177293022376447620456806886853730382684143626746904400620860216824517646705015373571870780392077308149569340851146123484120189615838851551903672491398151001288910409136135258828538462843249377688499844207378279704555365441393141344836256033916589756832766824738134074049118422252130523114672971379460917656322394608953101513234946908295632177263644025626608211182165247249712687687118168207163409434893892845421655389922355338883696013726593820360854088257383722112316551624353914773361769328426512226744637182008966305293128493694857100220081010237647605379090162595668930407847988755610740830571232793868059074356901592848532568958347153663980113937097363058135640743348106157208359692681043081370986568185354701398973356962242731825563372230072601119692325572762194721340349929697282580078261279324417716566483194295822449023721028950922469733391549268153260658844569409813588374530330756411813006864370835773374306012398257461429234122661272909149320276783654126683926597543220313820105133648756130621182337584643225698492722654719739810331377971521053306869508523358513841243232238904993980742492917107684345998003074394682447454338628643052953425911611987428703405786473570013192986690619449337953439368648430985364455391863597348202271134859626161178251287058576425104754011526018697184961655406758992129272019020885962542490702142493660321652646383168518257200363316567353727870091526854409692999676951841462159187574340774518938621996345048085306127893488501576276513633935490211676707670189397030628597699129505880503875857232263903719729608833695127850535057936282609245439370110874808878251840035145170987579627567795087008055921860681639576865904971287736836319617142632710227464688958145043093067539907754975484176359787347284950876216013876265155720664645580682293340819885665868687157877798878469324790403831439286064163297699717858980331104917832374614448189609134740068948605405896925516314388260411095008232621190952740255839715752315373137880393792416208190140229572841026969680131868822984883890173765851059347269918108128496976911401468770573439760010775775744349531654310199203392602630882872531929606093237383006036812616681416217951475800248108762631233181020620522519768679789441152108286440681492050438205045259057751971888502693017570616730429716684241526668501927933188001357018394750233338928731420840687266684840199942952809944391362038007216754285663744392340257813500282527128881294726157549458184321449938011814390569427201357703259522069720342134693412791879172268259934792273957767291041003677076981894828829941813509405983791339456375538731926873428841751563296294621
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 3,395-digit prime (368 intermediate primes).

Certified number3,395-digit prime
Certificatedownload
Certificate chainshow step 38 of 368

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004842737458 --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":1100000004842737458},"decimal":true,"detail":2}}'