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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 #1100000009105165731 1,819 digits created 2026-08-24

Value

1114889287669593465309590744583218619258972752509425976455942479009830050648589394527080912715984627842209962359999964936231578862459203204522682562615895924528506406592067554030162070176971014097018500776402134163864874823638156820141008818861126845878698517829246497716845996708239529037738177131692463162790020155752647816914860027980257251546352655409536475936527020623444124087399480495779267974875226632141624846076166392688518934515694674930623596402685523351867414579861862908503815822952964703003845369218224561801590452645107634531910394428406359716174023813871168117452112436787495009109192672238957927160502774890601779454278416809924294735910383792037371012919559271921432990883346928326448588590969620078859189789018233705016214628699018077939073437342737254972980763998780632139607369200495062329429901548778716433660728080500251624579673823517340407037025029762108018238065593527847367974677539846306039348749212897429887561275801880516727640425896991584112755023507311411077129319459465977183232853864931962167820197559473936723339925878307374113908442503915538185327261371678932659841615873818384538069014718968132521583472003067793314565853471474387426771113098871146877966788220615257609603508900476205695760935983824260604873170706173914070066650139873388057116911950677416476777994167072929715071763707559313494566325182708911892440626489113744567129025886809901034506486783434085174131613859258834107386262062285150849071856263749226662453378436421744643450747667178071336843196449746429275736798548719216790878437189850885778367185334917878040466449450164670910460761433438654594665325589092626032355777778565651136593756966721962027191579107878803821648328574738256058131630725594557965971789144501010819934097821221074577434155771022611770797624561781003415768845094869548193992859714768191541
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 79 of the certificate chain of a 2,991-digit prime (198 intermediate primes).

Certified number2,991-digit prime
Certificatedownload
Certificate chainshow step 79 of 198

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009105165731 --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":1100000009105165731},"decimal":true,"detail":2}}'