factordbrpc · fdb
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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 #1100000009053828308 1,979 digits created 2026-08-07

Value

78106324790833860658897480868673162202593360991828024254103617256858605545411615100343154501051602544905769501004064801996535863837530766250098081868868040626252976284848857045865418686641010606105775577613178798643969697640787967012670672751586571486407441037071776216972136220052788841332353123917037152314599002759114795080750680511447098729210053348831838671775941319539553030240733779827117101104578902269607357297323631660261639875925769533880026677644851623032025941973411427755800854188772380891726134462890945052310093506502249253888092388119123106238342577779631794071873673294000420077732881022991828980265556506448599310032408834073207165406838905262470786093171332898507175342704963357524507836983994163933764420115981353935726801667682164239959860952158080366606775310773156426410188669608246743349644439978027291917600701385805368984756376271698360387272077964998963580730767819686119036183742038441205525548995809115905507309762473815417151234719753750383910790172393238494569268040981838160238697278988317818704221979944640273044976493575323533643939537563126539781578612253357777164155201686598920669424321992207092536130384418484997141836699497643540836562926195793048199357918251349745765188750318417419416714738010936892473445804160068682853412396535259870695936884256281722525273091494924639714887110793693968564115232109196104166287156147609038578044894784175391978571109542663808845181559807609778935360509848723249364844500170001009753226182851935138805131798558152168584360295016845721138498327767018254522374582216942792948106908871634326452769880513096998781732337322811406761441617464897387468047418112906577298207953050887750395287615586852784541776858868233316708268703398866390192562850546341595945366828054584437904494817994845476684262441670738490404663101748207406921623241222751458373501402575901270293964395754307403463770048603699768658652008251758807833663941549826426858406141338821570282954145809951866339653327603837877935975903337779073
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 2,577-digit prime (194 intermediate primes).

Certified number2,577-digit prime
Certificatedownload
Certificate chainshow step 49 of 194

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053828308 --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":1100000009053828308},"decimal":true,"detail":2}}'