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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 #1100000008766976971 1,896 digits created 2026-04-21

Value

165870194410299308728150934533771454562173108270972444230844270813917268233924603411273635381453659827546816764668204215004234888348820421472634692026082604726652451320922917405153898995318190579423625167085667017871421896866774836730374199314100375146921684413522836864787868090393605823252947423101979607917340561616161592376324716955620181652607906958098181033937545675791022225468981996095037104588370345314508489087439764342392125860402418620325617621966528030360058344252831145568784789690458019721753024833999815821514418922100935166238886893030502539994709409512000618601044562449519533635025679395700853353125073688300610596685225288898502458266061669679012799801740859167335292667944819298886219781823580234212750668954287724241687058269344641343562710633874324360393172459068194873286380012927864784726131806401633161320070742151134566907257942881564452750065511846195379945647602871006588793638340917762136933768370685530839812195459487360793783588648947260393947512213724351203246273950987955320959109280825896900965111776729741733181219336174944224616478312061326927014909080065453687957715644299636714875830715759541806085251257312990377680922610622447891768160405310071350804736629767392152189770632269578923915068447443259681938415048222473340054875779492818283138207214505019429581083843832854433611074367191015990135529145200036200162123268392491643921743685248329937452027461752031544419720314750071171631012931762796155324352576174200661507239523134553533445139934302116875489591845727559956865437468719389368760551339252865839021529832411027698331514198061263890227903782332676498316032890247903819302515855794512130824483572171771242843318572326855979759709197673082935437726529191991421076564160095618044606910389927039783138942882347799193655655303135783536826760790063037588971840950262969110701339698146087036430876088785941507835990000754866133464573549890346699343303
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 83 of the certificate chain of a 3,124-digit prime (188 intermediate primes).

Certified number3,124-digit prime
Certificatedownload
Certificate chainshow step 83 of 188

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008766976971 --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":1100000008766976971},"decimal":true,"detail":2}}'