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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 #1100000009077935378 2,010 digits created 2026-08-12

Value

445195442456788650239196234426400055889748349814268284027228573917372738790468673358298515103957831123632094596376446227127867753922431037001075523695245036431908325122012323061174581524209954512124242291813452754942774476916212173221964141738939262668645994630653555228258966943740483235136590904829594148338963335569745935160413825788898011085395224658038625446641339087618776260687248627238059606244842086984338391475293320666143805957165091688616518584603050606379038211510309690162550033281897388165281358017492720151550366139634243180205510626757875292041650316417588297753268766885675191411702060307224822427314776818279766775721035986510485329779038999079966000747770110661592604701154093331474365294498151297810095549070059241588148956665756752587842741220770528885317067945501935500699744287134474532905788017276694126349763197436638569505697285166145769121510118824533584789427693306966464651135500502954195232921750379520091062956272148233319389891697530570548276950010496112868863202189679982821493235539328892089231419803394628394915577159994420215672436112715937844959159222513567699645909519908557869105778104575444930224833109930588407206771583784294745150992084482612285719580730300325763281701528505111008973846017305143332596184694933931550373408904991372487120502494893889180268748211910538049537507335514461861547919488428764242037291433768183520102016173559510526446627409948037720304944166328753759162520227000283244331963204641748456364693402860799581916680737923026709259921768073178174402968607290140016486997018194400435179656540817876796702159964205332313460908130159594445625558108378212413132631117450737190025518969347725098500553013108380881969390188678532473071886798842138715062348633152767020984926110155629189941213235668609511074839583035102612066567243072552280239141888822080849959218271429336790591692278118429623304041800882680761499269849980624361586215900127974887229862803402589266717864821672770950783559088629479426970512591243245288894863593298764318259152480761
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 2 of the certificate chain of a 2,026-digit prime (151 intermediate primes).

Certified number2,026-digit prime
Certificatedownload
Certificate chainshow step 2 of 151

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009077935378 --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":1100000009077935378},"decimal":true,"detail":2}}'