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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 #1100000008823081489 3,144 digits created 2026-05-23

Value

305641893384644975282952194608876100931150098125833450069469380734198665335326108322308663986597560542008100380155781709552947437948813356464599663412130011123166992703649395263881781417726077187552434771715350398291305876278449564942849053302487294168815081731029394945297016050274869800271147892976450435263558576532666174771228302014798392189523774701362477218904723738411443244538230499209947526865850736360276667299717800110394343215571998460798293532967924071614710426570073403631474380778543309088700733430879274512147593046643476386509951938596518676256657919808947186275321735051761190445098847687269976396931378673281188218153161238503052127920823664736542750369094723457137243279343995217785451774626337838288622052118111012817151977294825928610295299418906658644901400608396753267555981326380223107491520550684785155810035535508916109885146007008921245978852557064600742301860807393675142747231924475083833360809243167732779607432752286493613239131744411902213941050432439071460484867689106589991361249522669313364375157222037280043188543308301081831980728169991259514970978977435437679780256317071476121537373065772539131723663488044664409848132909982787243342200198464877689624061876275312195374580509114145034585599615598156255834767530713235265717504342268349142428140487187952613204731084107191252000722932919658234194124346373600371221879746008769552383155840164030012327485159365236281167790224571609214951072825038686193396381768523672799521320114928905827759139509082982255176868257702595362433389828846125597553720001226280253223249160533113596586776988086835117315923576422893342199927861157942742980019148188834441930251683028935127443174964818768656272208410132326232710253214966074183882116047056331364009137512937278280162012872153805732823433111284600840250393650149230600006864936547517580845874346006127889120992437136695166452812840805490441928652818762504973244517980081079427602508000713260350717323085904377330965871532366289935017126304208995374396097633143492501061968373447022329593467161767957462917282825432171897965461797110813717954063559224634063939758010581285361719335743651032728992475987541128276904092264824401832212567610250550422748835043134127933161709729009633919544819168782024627826305460798353131091630138929226088925370479995983557132204243164986766557537653704270431097621446815827284773887709873059949823648204868717063196076944672131488049530793233268198280532782820469025182482524169288174732894632892095376559668055889500491812602809178622161243191365903303193018874869762065807580326821358557630084599831714878802078449108821379734211992619920083992885647240431150067004682792988434473067071286067153302276747894852353266439542860234656011789217275464655884390009673952579857742617323782550506033482712390002244999871698811787958185900882216063530716073886301032383064364897774534235766432039547548496798071552854692107632350058682277764944460269434400536209831727007016793954117829827025410756764076600797994811420924790955124002682220514082243348302777011662484358361001342208930545194177522860023848994051256736116486908847792847790883192486831613191211955243052879914863314149439
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 3,169-digit prime (197 intermediate primes).

Certified number3,169-digit prime
Certificatedownload
Certificate chainshow step 3 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008823081489 --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":1100000008823081489},"decimal":true,"detail":2}}'