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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 #1100000009033139170 2,121 digits created 2026-08-01

Value

463523339307344416682585790262861983953664374606118818241590074951821197431489985892244036423926177291063778713656060624130172305647785678432958708862804188484798586242142368741798022904588360202585370886972110389871655797188676020027620062590687352805528824142728870002290481122320198829225538977240804675502913542075459380814851822786967644393519560692209618350124655385630273280877998886174433557752638628086014105299658377198286952029679641467937189648259649893518467134177808513541490542139362726763004434477966531025504002965641608373166035958703365038328729232775513479828671003809745408395506463097978752291092946528893388089212941011757179454491749454496452724431656196834498160987346722482003617066491124952614368894262769458039810687914412209207921055602868408348899762008505635823212540986687833271126402839471213122190380394799130979775967116663770174269968533476923262642952206351601389754921006761144302496197175385461209303409597255522487771774465402067097947907404543507821355807906399797003166635677568961201769858807343304233622305284306358194632041335311178395967679490749658881723219722680299151498315218346052746013241551912324941899551914540628604311088570233301837174544565810768364619944782726944315152457676211049266943650044506265106955131846235791182376721730424938593050179296992819575927298217090253614356947719291739607684594646493974583720712613228822401859942546666405976518836686754341985940897409861325922897977322624881665877441593169470798366723845169138607437246662195751832244478516486218101957041292817051482088520991885816197122223520600780226433506735012190203632663685096313860333862311122380660056492361602016995797004476160131886957414401477912146804938086255214354382571041518381284247828764975289672244474919306266235594552636122226460411185204856746767879794419035193527050544554799273264468623677460938831475604971657814886075911714345350710080546046492296879757381366222698110692035092310336266638889357325902930203841302909004402417027650430547809445890130663011513620164579412206575827969459502522023086432867118239499378730929092093902622411262012839771140262200629653
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 50 of the certificate chain of a 2,783-digit prime (211 intermediate primes).

Certified number2,783-digit prime
Certificatedownload
Certificate chainshow step 50 of 211

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009033139170 --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":1100000009033139170},"decimal":true,"detail":2}}'