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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 #1100000009053591326 1,836 digits created 2026-08-07

Value

241188413729056532720401659930413287798500965840423627251330053352090187813743070883327713463515188679516319355596551167617643282534208991179708486125285241409993097371589836453701361312150820484622530044474334006971749896759313802657987434203058040667700526120277751259270585849330323793408159180981135827889551249138079321217007180936706519927017818289211085046809713462766009434196905681317548210538609293039285756608781965030562014633902442663050626129474668912785258718486168909781650460550808917672808288979788501589210744846070634032082537453500020556778662917195654891276569803577024306239868714075078808939707388972844388233515010880804655849208160006351570882089321578194826149282475526614484316752321165725685278881800102733668786244826236456818501641945654356922327405162730159303073814126626665154006830894004376419436466096068404146797677555403175365741265544850375563627049809712724676133191449392180023725099342628308325486172729348982255642385449352678461800631889404528717954908878597556048723705856257558791283447735916885824983125399285507858338754523735351365264523734975169292529368335944226339648575622050903986043931599923769312016875225802714689409882969023366203462149188497096651166285591934488732801204931422685002420393701136478914918884643595475370485846588571402665503678017423752159624655342127284779542747268144223504424256538099111185917880250252090647532054713090827551671310032826165584517575239089818015818839127873068705166671302836165064478374007152166233255153641581060361494039549908214134476329060047432547830829571152317184547127945578107545990345438572778120391760932343245197363125209375807854106063109981723270861113665649265113080991488438416096165578854997752355187561504595916549396717244626091026084117297054975208249597971585454029607594842148329448771422779794511850201849465632699837
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 2,203-digit prime (166 intermediate primes).

Certified number2,203-digit prime
Certificatedownload
Certificate chainshow step 30 of 166

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053591326 --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":1100000009053591326},"decimal":true,"detail":2}}'