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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 #1100000009036772053 2,233 digits created 2026-08-02

Value

2606056566046257392189528669901275019897102173060257424425906805414619019971694014191825856379149437985072303637697007675578283075236266774323544634830763445873020167885693113792639298261324042936478161741494268853656113019284933641904562849137246373192366866277910798931872387337600314404923645250742476345600754079799621953693045833812876211610537627507806900955421237357977180222086449185998914080120534416240107563485440796769517802807104644497485782197940531201165498738574275178928612789498553448329900635825783276299646777707012436746100390381734398983073742699862471539548605389959529777548495857676972596577181453810255768937551608804697831752948342475426229179649341925457489059679275039647078742750468402367956119272228777428183038603935640967429506578740152327117672878785805363381879528390678361042342115329664163333639196343078558230573935491836837813020824000877720450592830653146268084279244676703503905749387778521909002303413780081286932244819136290100691848086441201426632331360825973501436944631126394909548130623233529085877588619017239727789275027795731026778645201173131357415006118359489299088287677492416203991078740407129058805807509444900907297179945690301721687928229567351879574807616337459904693171418864555879349743687588898978997269700428493383868742171644562508435334542986240941064767388776981422159636665764835218118424274674277495648996847959477266293230395296835223308294033292276645789493827986152957497449213712981195141724022881968539340566258003908364775571207812574829885275986285782667446470724130258364851731388976016011212409363298750531315870393761290793367191105143273044052801631873140126270443527224404726362790671791043079284903271882470265438684619451874301918068465647355371247604545879227419389063252419786427771149570750127620159714531755576174901628604504321989194696475497362080516596839762552248976464499172540617098493132103464468053898128780031483743672904065868860747950811770409262277308222585016787934876813562691612377474875127412590417577639935430424384594736572062555507540488413890706489281556012900493227964879725516068710928090267498268692466536503810262344876086077893812403881208995789224119896870130220573293091952224269182899696393023083412935581748014362136609
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 42 of the certificate chain of a 2,796-digit prime (201 intermediate primes).

Certified number2,796-digit prime
Certificatedownload
Certificate chainshow step 42 of 201

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009036772053 --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":1100000009036772053},"decimal":true,"detail":2}}'