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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 #1100000009130350501 1,533 digits created 2026-09-02

Value

897095589198952933948226491344269396583052641430110105604992921297377208604763082890688157798451585747592152332436505661283262153530478673400572343743487071480870029369140005181322864727343816939641659951613380210495180059216596495910208942141699374245947001085296330025395653006627881752278405623266187803234634330827580570108456980123584116396970933044990983918565547804957832695780331466014720253705095986498013259895796412428834750234856457660076017557398470079910307618530935778759714073883742151531961957939981468375831755222738185156602430701606849518712940783913191277409132614361492374437243783106503945559783994308680696160024472746300377489470203070416643260089267082011570220176780673970023567576193116689294555512340111010927363015420890561199366489806045170924308344986173824402063015591596803020796702163921524654581423860794769355821402662936103211686789973439141745120707467137149071297455974082750403003035559977684506224618550406127240161673521419703781253606967428742198350835243718696700639982686022474743462604745248034035151690954240932793791210499967115267280019630069163792893982313937329306222921512730144287385422084500359882693987931041969788788743568980950609675845714474351670048801581393726260136040998686444716104284713997773934532144110129245115191629828362868323424103845436003980888012161547752091333865197056457672213011205630578471403624777878754167485469828842483065597350891811300278551290949452650533908156632312521282826538514755815060001468145559572272367307078665332691805107992122375510239
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 104 of the certificate chain of a 3,173-digit prime (194 intermediate primes).

Certified number3,173-digit prime
Certificatedownload
Certificate chainshow step 104 of 194

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130350501 --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":1100000009130350501},"decimal":true,"detail":2}}'