23197

Properties

Appears in sequences

• Primes that are palindromic in base 12.at n=31A029979
• Primes p for which the period of reciprocal 1/p is (p-1)/12.at n=29A056217
• Numbers k such that prime(k) + prime(k+1)*2 is a square.at n=31A064504
• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4,2,6]; short d-string notation of pattern = [426].at n=13A078850
• Numbers n such that n*359# +-1 are twin primes, where 359# = 72nd primorial (A002110(72)).at n=20A087907
• Numbers which are primes and which remain prime for three successive applications of incrementing each digit by 2 with carries ignored.at n=25A088787
• Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product +1 is prime. Sequence contains the primes arising as the sum of the terms of groups.at n=35A092946
• Primes that are a concatenation of 2, 3 and a prime.at n=10A101218
• Home primes whose homeliness is 4.at n=26A133962
• Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1000-1001-1111 pattern in any orientation.at n=17A147135
• Smaller member of a pair (p,q) of cousin primes such that p and q are in different centuries.at n=23A160440
• Primes with eight embedded primes.at n=14A179916
• Number of (n+2)X(n+2) 0..4 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock.at n=2A186578
• T(n,k) = Number of (n+2) X (k+2) 0..4 arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.at n=12A186579
• Primes p such that floor(log(p)) + p^2 is prime.at n=26A225626
• Number of starting configurations of Nim with n pieces such that 1st player wins. Partitions of n such that their xor-sum is nonzero.at n=38A233810
• Number of length 3 1..(n+2) arrays with no leading or trailing partial sum equal to a prime.at n=44A254206
• Prime time primes (of the form HMMSS with primes H < 24 and MM, SS < 60) such that the corresponding number of seconds after midnight is also prime.at n=24A295000
• Primes p such that the concatenations of p and 123456789 in both orders are prime.at n=41A384174
• Prime numbersat n=2588