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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 #1100000009105165488 2,321 digits created 2026-08-24

Value

44403988144384857179592974869479312295081457099453834325711927778767721851928338532978309550883328526489380508660165248229783756304813289970422283288203563238275286921599867681848639371485377969539416212538708647867976439669868052465995627879469547722930014284944506399058121274250847114017202931830510624698426002849592668399097821103182006200638527955785455718659773387441227683163698762517095997475808265421743622163665825257239696636378261039141755444816520939689736806633068403476413559642844665936941291519443843094350721960212242289906321262235463796421222571257134792999480686227887278873892335675329637510853756588888453706971296215186097070010529646966401188329968787551122942718921443299604718879835746427927042688323885292786273244673398778306736381083822501248020798765922446327789831016966692022452287818842459407169948590043365238735063574735088536703133125271120609759059861882007575183530935567486091963147870866021751999008289936843656342185364218476508469688484796424607426587082126180897383259137169953470771834467285935904127544671663827464958145538875347799585820499134027980197185902854820313041266382946271978564272236454345666835817364831507530744513384686429137851780299370293486667397123189310554476345221652328306289695372473066737706127715968962149605159349630845858155917303121250452915692756234288475553282298168072921270849024955112955365762944925720109627784267949239520943889951836389666819416328797483214800621903211173127676902783656641143217800098974159132676265963131226009999333871801698772276276660317309698785921167652468078578165154613363203149026834566300233202055495475863515094929177027197952066057440782722708310636822867420867048003048372920342935355148392818906366677047304791218347565195458769557253919111435436305194104265400261282474107670078222861587121907916843498950761272462836106064940568426318917239224312675664374782721240962435428611890112811418570024337303081363615572621899495294797887388364120296036867479388957243147879873684511768168788219371523288745408821020510401197309738341802833941412666577783033045961075808458217205888293684233292367127794850694804974957633754632253609194583094829007921282320809291862989489893897892119560027198163021443223817691920172571134303939228287415763156998220435963860617272196276377475855488481130587997731293613158287819
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 2,991-digit prime (198 intermediate primes).

Certified number2,991-digit prime
Certificatedownload
Certificate chainshow step 49 of 198

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009105165488 --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":1100000009105165488},"decimal":true,"detail":2}}'