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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 #1100000009053590941 2,110 digits created 2026-08-07

Value

3214975299116244006420567934648210980336501561334389977160415272402913374419534728726303521192580702992158077529022914876002656771200785952016296280271990916127906108736307829791710605948864574498230554844032400214006919674963395251645040735719262109242609371639794976414314653071567939197062507527071571601081047583361548992883747619559180679452755079150255338871993713727291129145850176839779604972260631313112205194957569190632420535682945926419478674926619375822300705581039262617989711310580023554567573396454911666014081094296629944036112959006266574032335226871843629081542572933847649662841977259678418405534684465895210353570600370444974396735096700102534350023291660697657100716432599031361254389438985021036004311185090206090871014503930949316299800307029855245121957057411913194609116761611182292782651998087097165902420550330987770430030694349514690406667689173079007179756761643835518104160096818706738753445177921324214203082915493297419908248606870362515688955462084853308283677390011565960879100966659042009342126988866416293158454409281332403096963281893585901501909110346780971042156711472440308593413982071629205040202474264965285411443058678998258243897684554049219259713852752040442513400647842749789787604678956363456335738495367165403574637098162871573952900623104776033805075871025291275618761155306023125681409937287861107682383650629999599008028623937970804111272161530459779044404144330862934113493526882590675511191390171077681540903496284026641857490425660834963371926439861003136308277080139432922160489437555634868977262797043349775371049305018181273796434511109994673965853018056320958149462795991330637666209554035318700397556283561722538466858355626806161010101995534139233503521275502291003671802765817746345510053283181297057848980191525694046299642480588625757161782023248171113368167327363210335102973317439124954490274463916102119028088767758508619803467476053634789356390396899767683573816057867879360507198350163594079898606069433096328748396206649172823710000924174535354838925182234754834595505709646386320410803303273809441301632222630603798488629639128549121986153
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 2,203-digit prime (166 intermediate primes).

Certified number2,203-digit prime
Certificatedownload
Certificate chainshow step 10 of 166

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053590941 --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":1100000009053590941},"decimal":true,"detail":2}}'