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 #1100000009053879978 1,919 digits created 2026-08-07

Value

13178653126971870738305293503443554541831162545094271696271116267077926094374218743435344161784624601801836382762120548493613146787106761932253849094943213815495978891869504937133932710699570449821059539546970817124568907202086198170772990919105984938218944940176250664049219861117310464144869102965259593119701381764598739108538319679321392423210463872346698801231685899551867750904229243215654766097155687868519424004047061586866318796848833384139182326984865879294001544435958069824930633036917841986407055047502538092749731044404735615753043257232224410247521790050602709509796288227554633192276150534293133937833866993923344524180790512721988993763085688609464819790363380440756226080718719843392815415791132554767171587004846642081441032226855754417898584468002608888599840562073035376869353826973092964296953164047597731803212817689541137551568744608594144262928066623026669457181653376638649621856240878552353917894409090090368413539934065363207792334256814498150772637832929128473633511274134102979922908929105411456756781529316822679180941528131951817936942473899164576533215961428861792636833374162579284926897411330550486982814006887235935778294089472608670110617168478133987475364120366217569121725687609431479875041218456841703365053095475178910483006612517768285002457025546847473440091030163042450765058603789836154032971408354140481434912688522949092346399212033099199135035366520245400901191882350841634257845953998643230610020048129706813630075502291349516918689863872520442195795890360751406911478006021925725641043552375028416990004582470194021271854686923775386211690216052241210454341388026116851878800399129220117535036431256082610480776185576407354614525991583173527717168966771145685060558122564873816202500580526743363145411596819269429086474601771215211128248125372715007234397697554793488448569519152239006423593513029366638806277874081965834960467889797317906448307959112916986327413957231
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 2,410-digit prime (182 intermediate primes).

Certified number2,410-digit prime
Certificatedownload
Certificate chainshow step 37 of 182

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053879978 --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":1100000009053879978},"decimal":true,"detail":2}}'