163021
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Values of C (the hypotenuse) of a Pythagorean triangle with A (the short leg) and C both prime and part of a twin prime.at n=9A051859
- Expansion of g.f.: (1-2*x) / ((x-1)*(4*x^2+2*x-1)).at n=11A052899
- Prime hypotenuses of Pythagorean triangles with a prime leg.at n=22A067756
- Primes of the form (4*k + 1)^2 + (4*k + 2)^2 where k=0,1,2,3,...at n=19A087871
- Column 2 of the array in A107735.at n=10A107733
- Number of non-intersecting cycle systems in a particular directed graph.at n=10A112832
- Primes of the form 50n^2 + 10n + 1.at n=23A154428
- Primes of the form x^2 + 5*y^2, where x and y=x+1 are consecutive natural numbers.at n=36A176608
- Number of 2 X n array permutations with each element moving zero or one space horizontally or diagonally.at n=9A189450
- Primes of the form (p^k + k - 1)/k for prime p and some k > 1.at n=29A230444
- Upper twin primes which correspond to the hypotenuse in a Pythagorean triple whose short leg is also a prime.at n=12A284035
- Primes of the form (p^k+1)/2 where p is prime and k > 1.at n=29A308442
- Prime numbersat n=14936