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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 #1100000009064268577 1,622 digits created 2026-08-09

Value

21592444134762401616082296254370175933663434949100141374205474760239173233074450726251627866360202379514295473661990841571746207565174928799368998440511486623321345195665148977112109380463527239892857474254125725762360535403252540135878897942410323321451235470194339114810347438646786097069266728466241709466632752259993103040161444478416137084083357547508615364521084852503530124131409394497734321317914922482984185849256662155690896307485489101531807224035331684897782457081050033502820619887377935266784463123780689527992143002994776605611622611945952080935307668439993286364841024782859780684905321500100122367148863199521604950980852078222472391907246661934455380235699929320372972091632717719881544167394572573700496127913104004630473042046491243493679924281642910487284114405732242050436667835275784394483925262236661618681622512924704175294971137592626756846457049301446720668223529083452679423750445606984890168886831025300402002284445969410765763207393031157008293505739578573458447670003108803020310465016496890467753713562833114143702778251488579028561855785501346242658203702420651537969695227496612650573565269622044087692857379792703285545365299700196586157115721628907826364468282273273291277243006599169534545518777645595057453705694697634421191031581449085549707176634877574243105240159218550361283006819470431117704639838652603910963198937086950330013853696217372636327270989499870414569373159520659466735637039001754947748082497463471762523975176669341672333218287624676864614415189295487663908160331956325720429829565267692185350917824139181314636965433106878471648947461393751229999342290242170331301
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 1,704-digit prime (141 intermediate primes).

Certified number1,704-digit prime
Certificatedownload
Certificate chainshow step 7 of 141

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009064268577 --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":1100000009064268577},"decimal":true,"detail":2}}'