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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 #1100000009092177674 1,890 digits created 2026-08-18

Value

317388830766398379075643727895588764666383531988234748729380803927578837928338379714510880049704841029495176334676537974855059326388069625970088255940010308983918220340675050282863102517366531234080061763808389600804225590309737078974588443309134191038531250186120548860579379974899528541732716148573985609973802113264413281216997780145496240524431521448616192406641043864566404456469453346539038834896306519143503664409233256458805834187999698922021112355089781963781927102502381371419717239794527887845825207661315775728209041992626819177736968575533626465983731263673516923510005974965666234654032961066697818489840119125404586280596363667016998326530142076524504830450941608165646542086059533175567493763840131380310752104713598644359264204142415363443507151928059651548188968363812236635823986001775383575210541143561720155220276269763122828076071960614286375921473275509901401951878747194951048018042853640330563900944519931804793044105331665178784096806628299559258748996809267055779979584676794622781446504677447829945019658028317869369016109280837304699286464775787142957926079660332531408219310164014844666081878100119271652937191081791691814717549602857541752308903084202514954090400926721446100616961926842330502984715406788366796731055465528021672763339983923790841026283134165702236280315029513466925886258903343124533398008766868811226824538947708553211830847787311643022302593346098718634690449337548111702229255811290661601205539505190494695794553156092468920885589643938517118345222743860398829096372346231323026702752135659725783690577837293371727126006742337617140863258914762353354479858383326103673869206743587610583561995941892598060135343026762072810531199599539546939833203268635104845404192530760203419254445880457677285355128741540255532845252492276747160350580895900124561467271252474662722584709859820848403829214364293673025487175634359404320691561982396393123
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 2,097-digit prime (164 intermediate primes).

Certified number2,097-digit prime
Certificatedownload
Certificate chainshow step 17 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009092177674 --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":1100000009092177674},"decimal":true,"detail":2}}'