A068485 One-sixtieth of the even leg of Pythagorean triangles whose other sides are both primes (other than 3, 5 or 13).

1, 3, 7, 29, 31, 42, 52, 85, 143, 161, 273, 330, 612, 1015, 1197, 1394, 1680, 1771, 2262, 2698, 2717, 3318, 3424, 3641, 4551, 4700, 5617, 6468, 7192, 8184, 8858, 8996, 9205, 9523, 9919, 10622, 11040, 11427, 11623, 15436, 17256, 17739, 18476, 18725, 19533

Offset

1,2

Comments

The (primitive) Pythagorean triple is {A048161(n), A067755(n), A067756(n)}.

Links

Table of n, a(n) for n=1..45.

Formula

From Hartmut F. W. Hoft, Aug 06 2020: (Start)

a(n) = A067755(n+2)/60, n>=1.

a(n) = (A263951(n+2) - 1)/120, n>=1. (End)

Mathematica

a068485[n_] := (Select[Map[Prime[#]^2&, Range[4, n]], PrimeQ[(#+1)/2]&]-1)/120
a068485[250] (* data - Hartmut F. W. Hoft, Aug 06 2020 *)

Crossrefs

Cf. A048161, A067755, A067756, A263951.

Sequence in context: A073126 A154296 A038900 * A019352 A290963 A261270

Adjacent sequences: A068482 A068483 A068484 * A068486 A068487 A068488

Keyword

nonn

Author

Lekraj Beedassy, Mar 11 2002

Extensions

More terms from Sascha Kurz, Mar 26 2002

a(34)-a(45) from Ray Chandler, Apr 12 2010

Status

approved