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 #1100000009056978521 1,515 digits created 2026-08-08

Value

231770174314102880981092571121728679735385097125247515929701920146084673543046942644103705858656296058410450074193280990921378361634999179638519629701308269373701065393187913487623269198981084851046225614718037070625284081627161020072560934288971743458095668639323713309272555293502351968774655229938050296098563499786947133518084560349044933204052309922157691779962313296979703455696684245776243033661752165141291516431558716181863369984680185892336102190375674310709440600276304926562721135505556109046627475855162410741699078718973220341424897666800302106363345835718389498340812546085780094745847218393376881132720116209727889231305766187547501136349852774987612817527381360058953977473212472742450751265936887886212629023848185716149614409513530706625200176832985347336924240684234942170370421287928041706949384838512114935374076203490101698842733615675793019882782433867166760576020809988144589644252745142982051552886614620710874579637830366925307958406880906295324409517603980365770145553056704197100293703171172593889860665822285730708153820785605429674101185809806662347733737842922373896100522543532738220309346904857898843735401779475101781893079736477892579673459868456901296571238214212067997873177300165887374048654939025013400523110309422513434278167880399538924701078574793927222169395325291955982646044327711426509335275982552182163889047760733336805340574357674190734934252408097778556944508449098875454699367951828140746703131275248296307276224702380153494118270979772898893748288333306748421951
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 78 of the certificate chain of a 2,439-digit prime (196 intermediate primes).

Certified number2,439-digit prime
Certificatedownload
Certificate chainshow step 78 of 196

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009056978521 --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":1100000009056978521},"decimal":true,"detail":2}}'