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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 #1100000009055701889 2,101 digits created 2026-08-08

Value

2319584469353194267286853830481657425194793684206171246354526050190801430078912882542180073498299062257368611710559770742066376267933911268992831167637124424236722288051145173105559414112280551291077870181949048604413408364989310547820880794604706915837583953198509915980083085907101921766186858744607735554278475767395100977304597381972691256474605447617096487125279378986096521941141260261323178703503791086203750986346968845537694437630117294715794088471138634181890281966905931146254866607561835434950312697676981509862531085809303840442963289432648157130018414146744395271768336153305010510329692518015315426387430300567655777086335767877200321266649121763279288460128652707099852786450915149924976808500490537778575446493398065973289945126992987580376021855626673693902984788116740513668559115568938321125593698463837621713375578699604129947790897408086552279395624591809076688258561490486721820917476147152640552230297939912766660256957540648006784274225956447132206200199004849975345899238024477025556845430221314248408602473320052708778554469601872870504739334636035406956861549452891610908513074432725799146016720822683046491997183903948370014094079176007453825677086241549183647619160261863786748209658333616818754631295428685241935381610131201431435294414309678577012091741779276259704664964021492624768699795086416572817170726498845451283575664854992863479870016377816279933862009249111744381071918495146030669989181610807814554661015494337700644613586625916362492621977305541160121322211634165745035355840803038034829242835424427617628190737246411051066919033314788456406761940128758254020650865291161182002174473799697608194526865467562326866932290841668248328964157878139819033915332004236855363743032530152488187485849452924682461190342382388096314372493127723851275079211660158371298805268569875193344747562531328944704886401296307602338699804886159721319644737268302968460302720551628492522810389056752201231600586409668816942441333929346023847364253303978870026536263610628904970177767005979321948370839234719986475520764273986440570380440853235874359455511753622939029525042424611
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 2,229-digit prime (170 intermediate primes).

Certified number2,229-digit prime
Certificatedownload
Certificate chainshow step 11 of 170

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009055701889 --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":1100000009055701889},"decimal":true,"detail":2}}'