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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 #1100000009053333223 2,079 digits created 2026-08-07

Value

198544182267593990551708610220099023487854977933780669809566469869078158777660178184262914923906828533038583766736667616104207222866303966159203862641048587404167312184761762873166339351039666690944189447424053873778510205614845562575945654816168982171345044610920850187689459030459691061687715815651810758726442745537411472004562556260908443386431330783445904930641801588823090948012143036344564364070137275756450332106508641681977321383624935997714586667629916024183016798768396358910734348007165337272473098955321233266333006621696192112431272068154219228431934477783873704580925337402682410725053625024941692976174325655263462807326182890671693770191346070336460200838433153174915410173312767608546219557817559206535830354187477290395576477691900892178101849897287285612640525261083790094766032065184490881043710797687414957303262171916550476793039540085786085526501264618734771523581717430988865025205613153000292277725561751960885320898429715632616553120953075677402243707407350510178843810036696554805439582058543707513261417141264686326827345055153604673826055914706315642890226399028407420134774138874412969897241863586000578994279187919037837147301851715927675551383544425473008621997020541144833085404850425630769327564452353654103236856834657536057995516807206297190950643128206697071661693946659936613860159947199105424642936692038240727056009196427669316913044062162497951176856062907979807206830273652286598773680436151655426288947159793986538174379093149067372265005171269268844941060159672868161558269405897968966386023015935998556955330217050851986532181104280583104361395264657914154010582782260244848866070549461358817993549172009325529376103062164913873626050141442763582880677426246205860477439929639962609000284037748687385759473377027344273192628371508112799433274393304230058800698490576129665091417457796788184661122148824598710203804802599981839634024232895711740106101063615598808282271325878499724758351259955081416233895060445461736657862718073029560402257950813733480468643090870027827124293313270478590700456190503719361191891926456305763767774959
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 2,400-digit prime (177 intermediate primes).

Certified number2,400-digit prime
Certificatedownload
Certificate chainshow step 25 of 177

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053333223 --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":1100000009053333223},"decimal":true,"detail":2}}'