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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 #1100000009092177549 2,041 digits created 2026-08-18

Value

1597029099216872337745875578068057829708464765800911723374201541166675338195001999126148007234153482214907667830701408741747099477232238880716853953934407519975061964055147570292931612950549805004117916109280106138864517681744414984156061739085313009530621806691320844204278563648226997833718912062369646774619752029488031448140241116728666241171836209424908468649592518420655435089889427277737961919117262097215720532992815380149209329914300685305100863780896544281574948354559068335005282538638164773904744939165157016384333908656552536554752612244496056214516158555226536813231383095665172043178945780049523927072905390272018790612525639586888853680868240247196335704850315439882049199291818831855102727985553935119856476490884223923378464898987662657030743722024894476738349880041355009978440060326661077747763427274929266761677518764456548017205794953453344651447501021173591359754233395796899535113886095060044618075102650659671143510689509120941405455733899937909233326103707335966752999487899887124337039271310358959140776523657729513396497604827341320049702084125516528968987677567665191914482595862293166918909612200145258465936964933496916067313092010428039116185040096871149305342138375884667618824112935754128115930515284211276069675370335627530217962283696398108429413297194863086927741152043553948085549988129705221043929275556678081913894982534668542693005289232460822274160789288794982646293491870729227703555955861781845597233197163253142671147752258091112805318158545962583447920447506570137298693025953523441084506344107860212759623297461213414199423896056961986310426651275795081644140258740092106101400953538942341456619953307097014394852702275280147589554201306041523597375930738385672435537159610209794588509014238354874148852666883638573389503040384578736123800708403044558214238365280775506237233077787510987201751472628662714041686768487331708436346260466490248192740726851805029765043865321854604115925191422682327028075573559208936915860060034396370678400141272398342579148401938469424242272289443358584877913943
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 2,097-digit prime (164 intermediate primes).

Certified number2,097-digit prime
Certificatedownload
Certificate chainshow step 5 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009092177549 --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":1100000009092177549},"decimal":true,"detail":2}}'