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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 #1100000009092178089 1,291 digits created 2026-08-18

Value

2933165187023629140708205616860028674070234296734955930727432131395111816276537644077531491772744117427603436320722306388612624519985838925700190019145874831493090484886795294252743956673353587743934458881701249587109571891743423000923901970583649886350591126874361469141264763759455647273108132021154849243742792068779188915760066375756583493948173532745561103042864852673251413627920080804305474566429670335692168556739139381616299390104633297635882641362237500606496438916347459858080083015622026421101048727849086444565852256080441499531372949222881224674948084582292895134591666127565605507157793426200021528354234208303973237222053206338256496736581377834008557938581128886281581998632164668618507816155699796688405158635259037379746040331440537131143831436379963748333617053242248689833929734970633842794590415433168480846315672382695361327669452738338428949289093066191067035895310073412577307519050559799240317325456481343318823370777344236071552502761960033639853285756487963907687474219057820859029895110234869779416736800561751488515644498646853754365881462046648354191985651146349742435092295022618284121775978291021758965865494474870719826355995414112304460482321754832605166745382340090413297719912034713892066103633714015291301382422037259166182347652861473268727383024669839
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 2,097-digit prime (164 intermediate primes).

Certified number2,097-digit prime
Certificatedownload
Certificate chainshow step 67 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009092178089 --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":1100000009092178089},"decimal":true,"detail":2}}'