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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 #1100000009086733311 1,264 digits created 2026-08-15

Value

5323117477510612521726009121898261642826096406310566713063197644117848998742968969813776194858930226609696312020610548861802764666660540778267860577032852532514962575926511525379424776566340285931657783563408883277966157036415533113000880889917473873322205481933847736638227973524369883971653459195294655366324451593987410540577512931974582042241649095022901752098633966921992392458985049510136679482530786262847403422136723946776537251286953647887397497049266317304187598913040906419483097126838328043082564616544437814973479638106530302628883116014011469748449418892333349221126276235680241410151739597716463486193823227113764994922499299207099443308296711452895095013216823997708582490445322750806333967347549118969981680686518394533320727107198070764352099806170721154591207399502137504573167591008823509970092025703594141139782117026878115424345979250212112424439565115498513708657235004103541415098863093773934811291799188137954074223069896497604001973831581792002983661049945261835160396315362822756323419603739641348220339869144610481472882362112503570248888441476977135991418382300111480147251699960808793308737193302194253079260642719764648978511530796226474478362373858383214357244043243611464499430448143583587840047366028141808373654671112966679937331
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 1,973-digit prime (156 intermediate primes).

Certified number1,973-digit prime
Certificatedownload
Certificate chainshow step 61 of 156

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009086733311 --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":1100000009086733311},"decimal":true,"detail":2}}'