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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 #1100000009078253425 1,698 digits created 2026-08-12

Value

106564543781692721478062660456889497350198591142609148852606170921062794611375558009742132314057133495894504676544791161408108308357849053260312165688037436833725694239503685352510172244450089802338322981665511025639828905070696027283755249362068451569908556255854101361744149573665406526861773745493514830072988971517896125854587442555061892476728500730658904767386681474252893028173445301361863892893501171159233210048408230646053506558294053651962511669899640211871885961769327716161687081418622541566167145232328729196883332623103692264051539542960412342380304663219745657440297699782914615308832763435188551500371785676186527838773787731240143819897524342214696339286544572959822310255607984437941740760336644204671626833984973656034979397343873667480311945624772020891138021178711369510555633057272240582097177585974829788629991046864713550312784222148416788663803701203838495640131534571064388494252897833683707670712350240509861272969762020788633969701526293456660407481477011329380644921618646044384285483902847946279123185872328703830182728899556629840479683373276866054081537812359150110076441621570447923386144792728527670732791047797538419230716574877880820461961261757878865008244596548898430070507507194093596031731802111429965822567052785182359627718521814084995084978211325103804521332021517180703270607504742227755831668867752764253384608711575561195923021420976778442328806741248796011516102859559161840567624305807265732558208353154263686782228346340885320595944964938101558219925247797432927319139201232117159188566846001934854737922518740301969077333080791723053675531093434584872558855915749013907522134933646094326689011750197715530906831351407362460481228055006047655716157
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 2,147-digit prime (168 intermediate primes).

Certified number2,147-digit prime
Certificatedownload
Certificate chainshow step 37 of 168

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078253425 --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":1100000009078253425},"decimal":true,"detail":2}}'