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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 #1100000009079526388 1,742 digits created 2026-08-12

Value

22604204282478594646275841711261427108368360355751874515958262481065939127760995821455859544706258673876542730298604891214503303958513690254435504211500084718712248226242427027078499537430958841347994253201174878106911631081336268695551914923129642694164836501214952974196121593824739617544930934972025711755344409371464047195508895841272853468566199712205600853455598996374784046753475570923108379694835049184549413620019978611771656452790003542563486568142745380905801122036023532796604607994165550990926292325457111620240168942432562689867191081588080699851085199058816674595314195754503200264007328761779306240161390268531833983671304672956416898244779004496020146566355066850185392235862111365080562772639868867187284185293964639072045318167360421643536681466987841035837034110693764075074294176672547584482196058078372385710718212042143089066964648592312218633534021385107470928742974470972975502237959664549870476695206013124461902912679916652678306765927945343167723811651516743959023704862639362491991681796274533348374072786179606534389281127781714492166809871104112767015616597130889426086441766503895200966374619398539742593666029974327873003056534953943999705252451959921269375091122442268530300512466799779355883356731781760021428103602630549976199903280667063149375569883723840321033645213731100778243898275344277795652723434633549231872960334884892029717412311991222594346768330189628996874249221083567572063797079829452414389023188538726426603224875012048371251731917616642795997955817178852363369473403521721881015623813980399775494404246559714290578228616781838660862580805712812371110417814628297373025095514165769156188409192318937973505861915090559170459111608723879220858176860352464552837300720363062192148913832046227
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 1,851-digit prime (158 intermediate primes).

Certified number1,851-digit prime
Certificatedownload
Certificate chainshow step 10 of 158

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079526388 --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":1100000009079526388},"decimal":true,"detail":2}}'