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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 #1100000009066782131 2,350 digits created 2026-08-10

Value

4604041733478450393436974393621952021438986711068374517665231283312739039911193928895153457960234186594214353098020330931162602538565447947074324061744221722301425505298829725954364412462801465963013829307269049513124304520526194857622922061631363514986033577217669468316995251969081057415455986582163208873938805230424165020569012081228433227735386110021059556628846600132868659044811974860659288297146870941542856811223042782788651657185289776325836930063839703934284674044709693165409161484262030394624547980691580997545928303495980087420666724625516975013972865212043935548770156046369102305650765035056310267845634127294223311269017247414378572082016585619336258540874600519396883885481310562177011523019662565638940021780582444583335200105146895162729353746478127821978756214926648811048835733318649502006639270961053364635613646835790920050587405351866606917987782196385218928600379723066428826802452135238041792682555267093448712289420101965874606181418961117707040271574731522163243911638891812970433567525525813725041287513757968255841431345177632133045844399736611035770416920774358967313568092365370319967884281181113818628220975512061208457872794953198322851896143286389989237945904879524934144893799904002231973967148931342808293308130103226940747525925341256109491348801430750275733160212243311861131837941184055150447493177571509204216398012443215819659124618379126868049544120597852168218375822339876419701175657151377785647470210576281869423936440896064800751059300078475094464492820746206787838467062965256907863601488153052159732380552117839474105568377458625342232699603657546199881502004992501608595314781551162879459613920949596994413645231173278812668661189235845640314612868509988026910813344266956311904740044172923582212485755922039442597661927250722887262968111374249000665496890320647593988644479701877191808629439394688524053260721767241426161977100327964090003088311590928172984793156181930323583440008113102530836584887612392503113922406477020812157237351315788146052313366240203969788266815542472306252062622815776757494586925646947589884886810844362973374040069550866917077626728993295571503877475826897690711502690809321062118065832145908619163194795079776244128433105847821253045250846777548716214254472499607333651578191012203681328114488469213983196535155005395929364864411535127686208629715951585967522972760997
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 29 of the certificate chain of a 2,637-digit prime (200 intermediate primes).

Certified number2,637-digit prime
Certificatedownload
Certificate chainshow step 29 of 200

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009066782131 --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":1100000009066782131},"decimal":true,"detail":2}}'