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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 #1100000009079033685 2,248 digits created 2026-08-12

Value

9486589317642143653776735485422770689334051141511167018800843348376835419246750138362286290002376055618434328402631256692175175507220372800671124155807646305289294069501764442665990357605340402457305634782743292456494228882758978316086491855901522384347720389996735220567980257211869097236814543975556446613318833242538817484481602522098839710938778086326919798752049775688738941451834599922866604865082273321639260227118634068504219531589094333221433546427231840080973044251444588000438037414698749584163422123870212370484285346380170981723441384485721814316116843806905229636152290667670053408795884801666361939728103255384379091060171071701858192330761251001386294186924729278903953002284094623003660132213579579418864950764335038948937237526060552731137644833284260858149838918304675562498952269657033761412783605410410834855064801048749715909871814501707016530052857432680297456604695949016496926245867866743735443511722440233016161920331012206919062359970020420412787295713161717873279413235800058969024126126551282364481455546453022326964284675782687864774702154356481171301584740307396789138445028911559545635665397817601415265048086138419814239667697300726437666935514324237825809224622763527776197323046261960468637683182897646359876662780202105564976308287616393780337197461549674224397009739591647890118534470922497230240229980142877209061520579911632622533090106589857293117181276621875658077421405927085610816682070783813273461119590735184763427845932791866194217211998218002977534101955882241130793044671827640279868822522772550920464252658504808181347691233019600047831416027283606434652720505245965602191277774811214329505905295879543741121714253554391865489871614574794414946677481650039445242115229126227982901912236738891716945794551591005026756980269803446649776818711025014268197239402231074388356488904697595163247003095920886270564064534202684669870638727793883902505898561083956247966648321932360589686777262840569736902801194185916911444656010409354622965333167492695781836744539503731974395234144835591194121818070253154533106080798807267678544194777581916661596986430766621127168392972328207430366323269877297543581514256920033250589665692371324231360496796743458008123778152693670173675114981740466826746365584476911273
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 2,673-digit prime (208 intermediate primes).

Certified number2,673-digit prime
Certificatedownload
Certificate chainshow step 35 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079033685 --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":1100000009079033685},"decimal":true,"detail":2}}'