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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 #1100000009056643215 1,488 digits created 2026-08-08

Value

449673333406134462184721490810658934113815925249244969548543549112489327665974086581953425822618154200358908025830344106713275971310319185962917091937854242271925142765357094823148758909525795934922119506876853390301566043240760084497163623408237444513037945205736697950876540748482351124198440202633132437096886737165231879849528348463352225493938720832406651634007937959967083091709943473839814393745232809426198532495015498627502544660924843353188588162933109862249999178753321434682547174431112964844061851272019332912956412265264545814186075232571622331147746277683727041281074975848947046712368834045114703168513100035674493933862587360121977255655157830406497054155102919630906571372177462011175595803549089362806020641246511316587684375875444520815408701978643456416664604962837358499537578302200689187880959812374538440676830562512539850069324483270072360144040768173687671615932117850111943298336621388749096977658951997778921450537757625943105007599498730574360792325586114321370088368831599048104666824930798937360677302271026839996319038610929442689569905817638833667230752392526478721500398636452309704305061868281405434754900449421582150442655546921786080388762055594167100554382119018764975444504287064751012841356348311995416650339235568186314705827102796873049077059145517408545389819196179276215057043220161349188628512155523119399537582730269242955248724594677648291763348256687734884822918216747838929440615860845983473664746098657865716889641780975950070404195720357
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 86 of the certificate chain of a 2,536-digit prime (201 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 86 of 201

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009056643215 --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":1100000009056643215},"decimal":true,"detail":2}}'