47737
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that are palindromic in base 6.at n=32A029974
- a(n) is the smallest prime such that a(1), ..., a(n-1) are squares mod a(n).at n=11A034698
- a(n) is square mod a(i), i < n.at n=21A034791
- Numerators of continued fraction convergents to sqrt(668).at n=6A042284
- Primes p such that x^27 = 2 has no solution mod p, but x^9 = 2 has a solution mod p.at n=22A059354
- Primes p such that x^54 = 2 has no solution mod p, but x^18 = 2 has a solution mod p.at n=13A059666
- Primes p such that x^9 = 2 has a solution mod p, but x^(9^2) = 2 has no solution mod p.at n=23A070185
- Primes from merging of 5 successive digits in decimal expansion of exp(2).at n=5A105001
- Lesser of two Pythagorean primes for which the Pythagorean triangles have the same area.at n=20A157184
- Number of 0..14 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1.at n=3A171320
- Number of 0..n-1 integer arrays v[1..4] of length 4 with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..3.at n=14A171355
- Primes of the form 2*n^2+6*n+1.at n=25A176549
- Primes p such that p^2 divides 2^(2^(p-1)-1) - 1.at n=37A188465
- Primes having only {3, 4, 7} as digits.at n=38A199347
- Number of (n+2) X (7+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 1 2 5 6 or 7.at n=1A252573
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7.at n=29A252574
- Number of (2+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7.at n=6A252576
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 563", based on the 5-celled von Neumann neighborhood.at n=7A272940
- The set S of primes q satisfying certain conditions (see Müller, 2010 for precise definition).at n=9A275739
- Primes p such that if q and r are the next two primes, 6*q-r, 6*q-p, 6*q+p and 6*q+r are all prime.at n=17A351636