factordbrpc · fdb
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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 #1100000009036772172 1,953 digits created 2026-08-02

Value

402325074458829146095020880132172401533388636204116461718878778095897262444250815454105151083020416417222754533287173229854296294657502425991656288925074886873228447976478920745370103230233859120368925731961675161244012801229189047632761319289582851573433996062346500743970200122620204154874521218456037939284671838447719696277601124250261583948668542015399667306994023625611548979627958443315753522515352141344452177074363615546341915477105633753672687126040261865568103009476139184696511141569918852282469831304968493084848979632500505573337674026576149797911060280207319723277061069686941711070854136685311397255731791020685608806970284626589141603762233926984387447952529729654230384823209984925116202491396666027615349229283838993214898870324751488205049642998362802898116316175473894086729253832338521914015448427776071266177740377098024937590461836661832183509847328381384479318277562976923887130355751124287767271598892118561297781599553034254194803736729216598851070731185668276512776330955510880043124980122258121526909396108286548590515178208577221508573042065477569857363945010210829717514885590400242269766243998029404185542994743773201957385206587526806367581371462481673801792302839470914379887306311602506266973547875466235628520392223985168666206667867667641439880008597883292302467995838940157635784685852912528215216253183110970514078525981351323913717657853432134882058844749149628496062536213281186266690889635453744974268785829815894412619888354879992309722277169366758161616317836478192630229445967124364780380318145106384227968210243654499443960376337851790585724452393917544528330695823020086965802797195833193214483634499349120578790799236800006996956279041616155397551130710218134377460410208896129999337603113036682027343007284790296963258456636792804914020392554913835295260908232757745590705359930848719264748879873688835995468341434128472484679361933435376739119217419224974795574729666714098274232973043854121206543591403
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 2,796-digit prime (201 intermediate primes).

Certified number2,796-digit prime
Certificatedownload
Certificate chainshow step 61 of 201

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009036772172 --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":1100000009036772172},"decimal":true,"detail":2}}'