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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 #1100000009084007808 1,649 digits created 2026-08-14

Value

10093188440586572359931785962471659226027016530621823023886974083804047975910985680536459386288019578169423040144690005606940365070129509668747441894658847742088206275316618404375474847952727593948991112294845669642294943973193367432413827529599604139996072672957520619475077905401741021578676688081015650874404733213017671200625517160197750805385306738886841720441621515851124890138319684392629967780968248902623569156170531825233225008466174598109971948255647582140644122988553755343051651116980532069985026199924840243732495881858793117259816979614198004116765691021964648641613856504219893105412976846288058962270135054034294556189303073047300668760883939025392842128755618245199842410053847951137819432406452640415966465743471038564787431574972412567278532042015805130897688764665140369246839811580114462295596700293858016659718966866844457791710801183489371530486523715178558279660227330675297115807280769647807255283079226273693741450093392628422428187898836652820912362324032504744933801738096939349100460987455670655851616558537516254786978585177392183037761930272462173983311892140872443822155617744148383919553550855143397171290928438175905412278312582798581281520859040197862192106524018822390031981499179629585890097052271427991262519631067558926751637551157961544555580238412254723505723088943629014747749199987417421067214954078704702277273164410555420774691593886142755830388271598596023213834374547467997313195830162416128962911601472706192688451621322876336596228699744430708961976291098550275986036821746199276226958679666402704660801828740735102469473865664167680231286528710899802341583265523067542291050069602658976319589518887
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 1,940-digit prime (149 intermediate primes).

Certified number1,940-digit prime
Certificatedownload
Certificate chainshow step 25 of 149

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009084007808 --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":1100000009084007808},"decimal":true,"detail":2}}'