factordbrpc · fdb
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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 #1100000009078003439 1,970 digits created 2026-08-12

Value

25333413339730445626152141196942012846431726229217257177929651114887945014973848591411266597564910806786925550046436515436351358191617577593019738690187143487535002125567213603039932819526246482916376776486006196480411163364864653895336494381563515257585013501185502685907615019199909087391142781126513266324690663956244155717315370209791139665461780902792523404584867358571994961217802823277561318453294107436474143422949623193207733736339362301842672099554347671575931663090172634913487742199896088430534818634500641519976092158032396029232640977096457879310421892601231987650048214146117610071805083877570657519525499974749755194154073286279639611181252288265967313920732041024620767532765663435854359278244466022637334192731414256083671172569656135208277376985634528452054783044943993637539680924580024105654963254594841238520973341725332428554044598094311512965310304316965831335811928892587068435813019011627888615259949116452124696487456354935288020629659352446551590965106445176532793469768753966058315176768681480629709016876026568681471418540491782076925417499710578328000769156164791337693906499769765630404071663982182885783804743905650450344576152313378562727628980477924684604290313188117920218865052226793584001514846036251043833550108576905710485337614951790937761426508660166728196391116286960465258724513947524389766550051851761508704102708595264950018569895811415976677982001306456483424264580574991295952662906357051711525302246401872665579834740832121553420342924098898657066408650531449149406585128601905091150039727010081921221412156624724172677806795642086713047592850836566096264463142513761024797900493491172726636770560364521447468866945137531155592686429872199518911707563132470994142927333358921396598085953320288249089427197570611135232359078468458852847988680397384128062848353457952964897325716001613233432105675593126971376054630331726189931734547937686737623407161702720025517639365523808864594114731126572878251012247503478825645424689
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 2,145-digit prime (171 intermediate primes).

Certified number2,145-digit prime
Certificatedownload
Certificate chainshow step 17 of 171

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078003439 --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":1100000009078003439},"decimal":true,"detail":2}}'