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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 #1100000009057729629 1,224 digits created 2026-08-08

Value

304312504516341413885509324373538684598059601136974015114303626339750087104406900603970917630078067036577432678626701323249279246103240522002590127751587250810683851037231098338101639991168660456250569631626864665372675838507982603005808534680910939343036465772111454867264927857820486468596824020944400891051924005392230759385686147595832412413807082488157250712722479257686945111924745151250949188332790121468663934502882465025924479381231964892733011187625454812529767171633791239787992151625780128539178403378991015061264723601436052679675779546723551326917214603789939447846404609206601125439690606568699504610676430985620629845407495572434984196651782803130677170241587523110696517634721447151235946447711795867603930118850964958960858090022273688647421155163319823428766414464014537370248146857426957656506053874625750500005737489803413712231721188732928473283367616508158447876930773666360400510550938909991374500932950490157956457180770212719949422916127473995719591854352075811231114312340862072707257256113677229152367427319071206398456888935891748955154874158667437679976224518230751831018909499288160346064761963930150269380301169867697511620396250914502716376174759679552232564964500577418546273011360286220393
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 1,672-digit prime (139 intermediate primes).

Certified number1,672-digit prime
Certificatedownload
Certificate chainshow step 37 of 139

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057729629 --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":1100000009057729629},"decimal":true,"detail":2}}'