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 #1100000009021938047 2,215 digits created 2026-07-30

Value

3683377258365497997322142008782856245036173700356930039442920508637914000345523651310174510954618020031686487901760477882369624289428053452982321162962460562101348002549258189410648452254034682231115645030431654137992696111137198811263828553618541486562075772663487066452164631473521358031746705964994382996180514614665510237792128020448794184497567196115113556761682765404437364771728592622101022548674731018806061098839330611819982922910792260135608495104019453103815135815405602067295736721771748345786380476651745796507213200886795246765728324818177291639805538488854998085149789362724943511230604614763596512322552155366820080771668213654854978198009926214536232857720758671252903089547107820696501873100665045294973077482374618474134064373250280959213349556906821300449591215459410907041363407749849954703612691856369581485164214968380847297083165558264933141364448022027903702933888716476149305468583146091685593217520139559336463684858835094307390401265306318954997144751246079010832066577138799955042523302537993280264955767378123600492632087479188738030082735733861066365591500957738954078575823168608986914618063595112600004758655292829436574647772544785221444255864874148512926101021337711331969461093571043365384458636257750043829030621720600126980077260770703126244107879991519888337209556543693431587038391600036923272163654740244188818092263670078628511297129849773343083913671869295769645900379696923752530907472549151883862640845649253581846908475949506446528244989690518612000339942608758902633458704974770672661850516035730896573467155794559918880407535935616155684486763761886412679326043342800085542780923431167692279725421101396293535989396262215158610199441819952009841962951229848338368562870911893203707243599400665482148274845032228001785046031587622654354986851676244486260367881444420193671468770106807483072672737393747106419524355631500841142199251312309896475170237803715790112002981318792356518021206697079574749034400740798981381112196328964978277094429054546133818559053768627337923823334111607495652889005494702472726716458343525959836838444543928949857265078530813509488114487754622322002872604531351139482198082087631528571397500928532994706216917974216436054480812397019654617
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 42 of the certificate chain of a 2,737-digit prime (219 intermediate primes).

Certified number2,737-digit prime
Certificatedownload
Certificate chainshow step 42 of 219

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009021938047 --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":1100000009021938047},"decimal":true,"detail":2}}'