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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 #1100000009077850597 2,069 digits created 2026-08-12

Value

23225254008356033221196273789984064717787447818757552055076434273582086179078053749774984106099596183167979623464011586107309462356211364919437962954557695397789409698246632885390825169383312036712657225264714265313742931315989145801889619150152364472847823611867362797813329190773908965300744923247493762673244980616734542132106122700506771976870015163558364356623750063502508015110561062501142856895540741121042325783395587532977488224387608714338536064272377041570860338176980251588780891422474523247603434820394937497729524428841922948593409442757135241865557353218667892657874671553455882664957810076835098957375849227616488159126248409211371809214035355615724034332924678850672577884322244542616699107379911917913776432272551463939608302947295311633913503146267633034177081274997065070878537662438363729313949683488215895511135913857955596534873162613967951978791660100513653656702413736720152260010211758852342441078720602503694669643552211058751718796400607851206601242930245450352386566855451526067359372382650655407223276209230206414362400994192831453958257057574802618226171047040553141369509185334181472123947339981715452500750162673740953431381158778856543099927954882441286526432054548823676231268649382618976360228957368422797147085653198957382131689141363984496616244579480439888355439272869175870439022961261899560178879856188433409694358988064009375286585610804643158805738763792182041811731405788996472530319519879307528629901181135494932222139830319533291163944102264287270006658362182603313983265258241706994458496243435517183438532042591839188240212076877614761769466056285643774812996817787804708089406918544895174712129660658871038954674198966879816886539036798156654553374821797186550346843218261791649214857851205383356043175953645724596792439412760862270051465767822273251730316958109004175143772271973463261894404709544216615863051571803558579041175277325342084894570222914955958322228616516078846172352797857367481835591749616525433366079649338780006233726275514089327415128455371690832808688264635945281897856744816763108310607262841310307
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,668-digit prime (190 intermediate primes).

Certified number2,668-digit prime
Certificatedownload
Certificate chainshow step 45 of 190

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009077850597 --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":1100000009077850597},"decimal":true,"detail":2}}'