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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 #1100000009071886345 2,375 digits created 2026-08-10

Value

19409650502335836741496353981838847173709285546870587356717068977861726129620901883643742350652953081194965875361236597180496182148713633739805714649028749786999501658361911006237264958737766821668669167674656184860574201960418005026439961246702328103247607447268666009865067795269429103308741627239928511651411004614680234037048684185307796994411890133543741745612774845193243596389342246751680945697750093685802679778546990479871935394537259902423266527323524185677597254375831918027692543715488929092744880824252439008787301202696146781690815955021429381620980029815758695607133567770768764961358431243502117230689015868212550986372892730190658792558537084845945797930405731435194950525551602896316113085026217409538890065370233234929709452467197204748157660159672709683775814056085036250179882273078545864299319774292975286052877606789088439511003205642826790679464050780470354375156747220667958832352561220606500986865808474839204190670310803819433812249373109142713868572085190223436588523200279938737693045525481213698011046113010656810418086754836312462758402291492358602371629324495338654992885634301507662088319165668068902294148069568017944565872832120266949367817464529450626679146332783085947947395651079140389605405837266515114998125540880358682169722166144503431498659014861146002498636380242991497855942662559081691019876321770087048548581861960674624276292659978608611747322385774235137453183074820843498755889659849557304562431094656250970672102094109791521304038976058916646130648540736916928773036951856614335773179130011780009499664898384528523765192948135028690986145999554808055044569255906789806401627370949441721222277851530118900770119313596613497729204151507816393081438122902246204164353465959763228176464758529788894353189627383350795850810143087456366715250861682520534569121534215412357997978697077974961577152166276478193006685989767364209947819037164451623761206219706656759078083923662277680363573501147657494710215417478482953813328719357430617679598312262739340053986216434210086232763893165332533355605779138861653266847428944662385712308416578266666861770264547412073110967207869066108934238450915462340035689377821483072733566395615252172290631028578189803433780800894119135002873737864075182524727565428024857978249175808424871756516100149944191689841191837614225967556627296628797831560554245773073686007581097768295651131670964641729
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 2,645-digit prime (196 intermediate primes).

Certified number2,645-digit prime
Certificatedownload
Certificate chainshow step 23 of 196

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009071886345 --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":1100000009071886345},"decimal":true,"detail":2}}'