P · Proven prime
★
Interesting number. 11#-1 = 2309 and 11#+1 = 2311 are twin primes; 11 is the largest known p with both p#-1 and p#+1 prime.
Value
2309
Enter a value, an expression, or a term with a variable like 10^n+1 to list a range.
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Term #1 of the Home prime · Base 5 sequence of
531
Term #1 of the Inverse home prime · Base 3 sequence of
1538
Term #1 of the Home prime · Base 18 sequence of
287
Term #1 of the Home prime · Base 26 sequence of
843
Term #1 of the Home prime · Base 30 sequence of
1018
Term #2 of the Home prime · Base 33 sequence of
217
Term #1 of the Aliquot variants · Augmented · σ(n) − n + 1 sequence of
2060
Term #1 of the Aliquot variants · Quasi · σ(n) − n − 1 sequence of
1722
Term #2 of the Inverse home prime · Base 34 sequence of
183
Term #1 of the Conway climb · Base 5 sequence of
1593
Term #1 of the Conway climb · Base 18 sequence of
287
Term #1 of the Conway climb · Base 26 sequence of
843
Term #1 of the Conway climb · Base 30 sequence of
1018
Term #1 of the Conway climb · Base 32 sequence of
1280
Term #2 of the Conway climb · Base 33 sequence of
217
Term #1 of the Prime-stopping maps · σ(n) − 1 until a prime sequence of
1538
Term #4 of the Distinct-prime home prime, descending · Base 3 sequence of
1011
Term #1 of the Mid-divisor concatenation · Base 3 sequence of
1148
Is factor of
Primality
Verified directlyproven prime
Checked deterministically (below 300 digits).
From the command linefdb · curl
fdb
fdb number '2309' --detail 2
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"expr":"2309"},"decimal":false,"detail":2}}'