32083
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 92 ones.at n=35A031860
- Primes of the form n^2+42.at n=24A174812
- Number of 5-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and first and second differences in -n..n.at n=24A209009
- Number of (n+2)X4 0..2 matrices with each 3X3 subblock idempotent.at n=15A224600
- G.f. A(x) satisfies: Sum_{k=0..n} [x^k] A(x)^n = binomial(5*n,2*n).at n=6A244650
- Number of (n+1)X(2+1) 0..3 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements.at n=2A251161
- Number of (n+1)X(3+1) 0..3 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements.at n=1A251162
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements.at n=7A251167
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements.at n=8A251167
- Number of n X 2 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.at n=8A286973
- T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.at n=46A286979
- a(0) = 1; a(n) = Sum_{k=1..n} (-1)^(k+1)*d(k+1)*a(n-k), where d() is the number of divisors (A000005).at n=18A307241
- Discriminants of imaginary quadratic fields with class number 31 (negated).at n=31A351669
- a(n) = (1/3^n) * Sum_{k=0..n^3} ( (binomial(n^3, k) * 2^k) (mod 3^n) ).at n=39A376536
- Numbers k such that (22^k - 3^k)/19 is prime.at n=5A381338
- Primes having only {0, 2, 3, 8} as digits.at n=43A386045
- Prime numbersat n=3443