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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 #1100000009057950841 1,624 digits created 2026-08-08

Value

3045409908667089400528821383524828894154212873235494693301568516518753803070696271719603457510703748323777266443130806651806955793856782909257754315452078021257731903999937582192314182710881752787930996051675320390809097677851751801792919954172329729238021902040986267723929062880941176366190401708087275784952001063957207949359481677996191654248032789005328889925885958018039012265237501085124772497652347152496682044640129412949439795199026492463932380922619671229963740934902208802476187025965452576094983299401564824571766582659445502133041304134610383235691880369423434346495901521828079343454233012185056272894010584130316376678804001872915689682903434021588672600711013582426693796724987297007104887896588812725266692673682245490042146663381077963007370278682593202349337181173841225272429882892537522536371497516044600346250568175363745744787016560780831850967340835987123447053379811557651858286489266663711770250402176168460404943521040193950549628988834693211607328295112651030264904349721810237179219171263740372025360855545447408872902714633523423466677816850355339514234304591323339566891338578698830401798155614197516713291264057728281337460279418802946979571881828683254488207945909252446187576536852895013299852553428619832281470566295839634226393336806489278822834639158239972452689913702277746890293804568581200208417029341025119706596045430801940170735969765630198325508635855188400604237283179187697740277713002330181967453355784481260458279612304152720785669338075389689622485770841010725610089679803566507148481808099566917057031249554458114904013720843332141608476876203150915288222182233462243337399
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 53 of the certificate chain of a 2,254-digit prime (178 intermediate primes).

Certified number2,254-digit prime
Certificatedownload
Certificate chainshow step 53 of 178

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057950841 --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":1100000009057950841},"decimal":true,"detail":2}}'