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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 #1100000008793018598 3,629 digits created 2026-05-07

Value

18822709364605930783729680957001039879281035472835229914734041251462991240172220167234234841556962536530191386013160698261356694912204659533658456863818912250306798705276014140114970905298506233778909699534309450907466913707179916800979087662102398337604850478516131659277183016118164355914764203990556206706170612037154196188535834547830670987513569649767036185409318574426309708891992585958907456016570826850739695224682072769334456022367377230534403990547021766676151435437873914760180469257342617383718974817027077386451330631103529620313211129147646936907119778738760098067150349143574337285571101849079269495784708179046558891584713527268521075841917270627795365929486505582654279034155039782362690652574008645675098637175014300461238000543028769742050613409764530022414661629678523981727738136633986005387871964326506336258880947245066520736668531097022987816820176858901656145595813557563440997643587931088919500532111903049587698878520131563459239838455767246085996916051242339970778715868724102687824965367629334758560252372691654431337053979172425055610700081523573320551491319246819748656159345249733778022661719759579120354970345679152620005819066480541657188496235002046998148623196834959995926591946733355526803101630667588197985486438059430639872674659606492222878381968334696167792665731694884325056787493952611121067415038742581291961976670159019577690234987249633367099626889614636191381963641051089702051181625276946394923223563954638236466326699374363921481459772838752995039116595636443060554834760995765780062485199332487106986259771022780497742580378893340565935169164673592992089264185891076063235675616855181875745105262542687731502260001664234003156970184711463466253588455128145289989404273654673919408076863585748479996501854943602172370419527527029104983051169499693956176169932120767429979991687932461332316855131626825628685876239513142589192307513685863146871800445617703140370532042874616189147722684452061808269964569054940726384054144990402324402808156837599873670743467950159557360580109466518273941487354390090164222453257411748748836999025183021272621394387942552113166475877005935068595985638546692680251702192595131356618933918279532283408410447217804792001796244247263977460733049307339724310390370740513891700102225054346448016594431965506881086049396532316715488686055436462862100117782560427352775987409171575388813357279682649745607601650484795638423430428913785119340407495943201350291430389088542372924102382186021622286372317358039520274706768564465183172205223391465763721965603605084627241030576453683143085282822910511053906624392415018163558838247039837002024601992587725524127492661640683160661602023278851694884440643455890310618804459887069272633763674589192226198234016780497995305439213576526818203195121831291172593010597649031426013970914285187009352296754874546200194571453239365810823377515234969824466374662933774277691668690196213510662766139428389210097102541043077290977699599923820350742691439283142660145556570955906590672973467485865772139837271489754752697428968265165780571847484183458465030307226022586432755888688812424583409784954020182443787099495689796849057280005473757691812463359176203192795550202863491786156024734071915537073957159047126223372104390522438091207726791486867231837617214967601485407318314068976627821183704363063740785803444996388738370340880778037279931071135010914124290111803584571186428830346191411487917629142752142351898142616609099502853357997216258008204734472380640904120179680357696659257105380475327397424681217967637437325781933415211088115473370281261752607275516488055168458703510197872854077335255367921680926746922449
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 146 of the certificate chain of a 5,735-digit prime (368 intermediate primes).

Certified number5,735-digit prime
Certificatedownload
Certificate chainshow step 146 of 368

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008793018598 --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":1100000008793018598},"decimal":true,"detail":2}}'