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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 #1100000009054507321 2,304 digits created 2026-08-07

Value

775823988725630010630986377728706726592712833860280572998218796409373804455165531771006806348336159869739256592991524132676507044380520207452028477888183079048035203810895557102209348691797264212185578795882123869923734125115792909362036208479063588424196543184226815688625245979686709607067943523844341920503889031721483651033686700310580043250256895994747476241572278575193100135736005976146692463334663059734959951271289398657815538852847655983589834850096129605473416811359447602091243741861598674385110659202013985559789518680984651300140600522925248381501350396768396733489357086509314169312365299822636634590698304096909764273029271721773623247794449000699303668247501460541072738032088119965910408316305863935180539729633257409047610985293169062997857852794143473058984082318968738426723521369926641708174858297894290987421394017439615978019267253918027101030978452749502494709485011724153507615212861026305511271422472650422438457367288554558423218295199092455875998040276769734763443630360433654517563147646014160057899119406667993916048051204597338471773628379650190520260248286768101717695121316784534757632601976308924767501376429790038905810443216134164242373301930457709018175187671280565218859922224115770698038210839656121938918253666802864929190746777594797833352018894845488865597042564729799301946095942851939232712735560276754738810778525515475007404930888761404280388481006356100306433294767831092851438026314168020365096640518750704775739210678755872586220994247086952133283389946690001506091260371882261085835909957290735887911972094854215649960089084243380431793628113037434144691119979405598331253516195978176993199755080782031656284344387664099710293134776678964620848999030829059777158157918339424974377228255356288047789534935224774540539472521998367010279902267517419453009297704257363341556085168565503479404459366094317553183418081639385121928141106681559453562147396684992252966052988120905913741902067578517430299683920461154131830125760736781155573196401452116817223408140960033805638623071667201118889032692441575137627073366149216930783799292225331747504427384726852268959150839730971517327483987872574868356023950932458193297782760000433410535668289126396017462849582165998034535761007383517767982172561656633809076144671089848990251996649396700498156909985287936219
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 19 of the certificate chain of a 2,582-digit prime (187 intermediate primes).

Certified number2,582-digit prime
Certificatedownload
Certificate chainshow step 19 of 187

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054507321 --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":1100000009054507321},"decimal":true,"detail":2}}'