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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 #1100000009053429569 2,189 digits created 2026-08-07

Value

18392747701301523297704777995024819603161693036726400628302393996975141026235484404958780909391013364005220407510287542683396720944732167127845467245172016515508185583375468221340804411226957874747768993789267090027303328880482721105029924146076713923209512390082729478370842993794313119405788138639721746092022132226631140350916497785703837109410835562875612998618883307315791695427643449775128493608148783955248659159534038087288178059114877747696489507750580254664179321795487087702137482749578234571356014359587894438632157058206040781935320343613216110022694003486368858483618795798923564383967403756606769624932073000519371023029225388292015284096132377297892591035942067050827096641318238283170116992705839974195393570433415347747542051221217757787286843848905857637782652247177787540184252858324466706165444567821887983546040580921988990512906328653600843028254341176837288471066994259853198868985129899170537941934117638219643570686195781085438905095840670117333348824326832998053731109655505596606984284162500452884699349277289835733204588223071804899904269394794731771250695941344638317565363677407870019628043738214068442719053760916500104487052681254632263881600437637890979564797451896033529792265568765244830692840148009388913421720370524447210503569857445571982926375764675171839301655645466650221441679139582847417447398111273029903965337174869651736409135650848132985986700669836854555266664501610939845536425724735694000931614575327237191255033875311496985122275497557975098671240196166851529063712746883473837230966027407085247057915049591530656352214967382080033045572158076190384358033902799925667805519684628199837906763756382483008819133138721239875646941858486267039855231534421416048510381627626061567666407716985406943278670416619089350776955495031066737637827474845479886667935378892654240283032266817373651589879694268947830102345773200797762138467612146163269581232689052089783808944692176105558385834875583338299109560136208599856261202594771953031080183878454439714658670044205634822092386907567663134512120819053062232155238414386730560191575822380844669489781491434380789907763306664943883972546476029948647062337059854410599463350857106164310872519531513
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 2,400-digit prime (183 intermediate primes).

Certified number2,400-digit prime
Certificatedownload
Certificate chainshow step 17 of 183

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053429569 --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":1100000009053429569},"decimal":true,"detail":2}}'