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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 #1100000009054270321 2,004 digits created 2026-08-07

Value

405297465648020061352334500091848814637169449855066986984944628425096226023962311242070000105840987169823809957125304052795123804548324490356855161972987865878757439552466910925513306462558898724297756218037725759700323099056088610612087856095563464390254909318694381266107395538003795924596035989304504910407382360347199359033122511422384385640402091959051674632914303334858219005714280577884074151470660689810908376241853175426340482881333189214212321179150094797113703069386260580318260287870781764689890778756797341743853347858384173469752444134931257491006726446988493072212590529458582304901876409356595807969107910665311741599509566293960805791144731261094673481679497152081333334078605959121581851489921183053542505288249998246579811791065764946986008068569126352421898029410005550443429014007811184488390460796475009436202329331644320917248703615563737724163367980170211263013480828635727495374545890792956388250559816639355228676064474078750791400218702183887159170938352336005642616656102167141377414392749961257288107347116133839920279842290285157710814444365343661703480962410691909656388523048903396212001698919515349014392596063142785367462401359936228429289811715570535262632346577108412029806613749699833301687741112090991789114724568012921463906319189250638948418870202787859186519394520619457504774430146101085337335755654985784728721399668987243935950879445501595246936642967639022348115978034649861521274537497668688330909571501167801757116544102839167815952220512729046765725834856525707096000915162283198810165241839067977225846992770191061577339421412016002459804079753216303030240843660059864449118704212703553779447448313111496455169270231373324487425130759521775576722136364037127788246623673328023386528472958587143768012767719638451884618851523466298651453690115777457038634209747828517722140341765868900407030076715703028785537870628555989689715041817943642944239231085357020630150951202622946120124460591786268119387694208998338332864418363402186781855219244279166800943617
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 2,580-digit prime (189 intermediate primes).

Certified number2,580-digit prime
Certificatedownload
Certificate chainshow step 47 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054270321 --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":1100000009054270321},"decimal":true,"detail":2}}'