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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 #1100000009121227553 2,483 digits created 2026-08-30

Value

41761335711880497949205330063242469421086111342309075921578581115890235021131056552310520258129458066926046782317358831970780837549522375376894965170365489840140904120936903776771053514240686485055032025526796484771656808617054520240072523878760277759656338619121235974895932363161658059291994953127055749072776209727413569951568356939282549925799631848562897306910274280917576807005070497375781153385742575508430727339882268817461639454418638320608899247798559652843167087324390319695180030603162290253271355264575865706721874246082893024297402173292889879116669794918741607805638213535824364035523580020488867694695154553268414592929099251352471329901244535811554725331459219920005965317415815954006474475154071455173494987861320985597934259313467352322580027167019401764903807874360874608668428274241136599553599678782671799889181801136971204142627778465858675154664746776748965353163623600215377725462793329313429279791523806469213566039375369275873514521626932657086447727615224961351172649924211029272804255107647772577731148107391832504301407165345817948847492627407106162264114815664284882533343742416127456031266698874357396419701859179880518262501814846557580160435095577968982674065100235697703632529694508412631072459856609717875776408451065735021724828689502193371786002413386849761365170068179624912197362929133268348676347815966401344800879936995543024003341241925458046713365805036865628963380861973476473976902152686126892999542627592088878802389651230023154478564055079952287703065489836571191168980192162414079106706221831138126928361338005012672018492705170674637612533202383576162982890956984337715896249400097932496107876669122977995866893515861442870401003160805409105766669879851673608576102692661744313774640126515777957780263839247165025489799593973398857755068732277774027114236061953106076615194124581726874824242793690190074373521158791511234018367179322146616572445523408432222232969366763907710043369316942307423193398382578385692015082056787889563489464210022387979067589428860206489480261648731567923053932482973114999101630972922520690756441465084078336698255794906574067553843592966252790494971530448213438065924720340850626487588392797218655865027486804053073988025579783740114716981685133288284686141887466529252555917734664545590238935360823182221319286029958963169069440727287632193538815911004051359260578254895361830852311901194197439848962510765058432873171087099019362879638857368545283874948574307328664717808673571864299975901324776336333
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 3,048-digit prime (218 intermediate primes).

Certified number3,048-digit prime
Certificatedownload
Certificate chainshow step 40 of 218

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009121227553 --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":1100000009121227553},"decimal":true,"detail":2}}'