30517
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = Sum_{k=1..n} T(n,k), array T as in A049790.at n=44A049791
- a(n) = floor(sqrt(Fibonacci(n+1)) - sqrt(Fibonacci(n))).at n=50A063595
- Primes p such that p + googol is prime.at n=23A108250
- Number of 2 X 2 nonsingular 0..n matrices with a(1,1) <= a(1,2) <= a(2,1) <= a(2,2).at n=26A183763
- Number of (n+1) X (2+1) 0..1 arrays with no 2 X 2 subblock having its minimum diagonal element less than its minimum antidiagonal element.at n=4A251094
- Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element.at n=1A251097
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element.at n=16A251100
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element.at n=19A251100
- Primes of form n^2 + 14641.at n=14A256839
- Array read by antidiagonals: T(m,n) = number of dominating sets in the lattice (rook) graph K_m X K_n.at n=23A287274
- Array read by antidiagonals: T(m,n) = number of dominating sets in the lattice (rook) graph K_m X K_n.at n=25A287274
- Irregular triangle T(n,c) read by rows: the number of clusters of n spheres centered on f.c.c. lattice sites with c contacts.at n=61A300812
- G.f. A(x) satisfies: A(x) = Sum_{n>=0} x^n * A(x)^n * Product_{k=0..n-1} (5*k + 1).at n=5A302565
- Terms k of A112998 such that k+2 is nonsquarefree.at n=20A328160
- Primorial base emirps: prime numbers whose primorial base reversal is a different prime.at n=29A333425
- Number of polyhedra (3-polytopes) of graph radius 1 on n edges.at n=26A355638
- Numbers k such that (23^k - 3^k)/20 is prime.at n=11A382391
- Prime numbersat n=3295