A087937 Prime hypotenuse of primitive Pythagorean triangles with even short leg (or odd long leg).

17, 29, 37, 53, 73, 101, 109, 137, 173, 197, 229, 241, 257, 281, 293, 349, 373, 397, 401, 409, 449, 457, 509, 577, 593, 601, 641, 661, 677, 701, 733, 757, 809, 829, 857, 877, 941, 977, 997, 1021, 1033, 1049, 1061, 1093, 1153, 1181, 1193, 1229, 1237, 1277

Offset

1,1

Comments

Ordered intersection of A002144 and A081985.

These same triangles have the property that sqrt(h+c) = t, where h = a(n), c is the even short leg, t is an integer and the odd long leg is an odd multiple of t, but it appears there are no cases where that multiple is 1, in contrast with the similar property that applies to the triangles of A087937. Also see A008846. - Richard R. Forberg, May 11 2016

Links

Ray Chandler, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A002144, A008846, A081985, A087937.

Sequence in context: A238572 A266965 A081985 * A103739 A255871 A196668

Adjacent sequences: A087934 A087935 A087936 * A087938 A087939 A087940

Keyword

nonn

Author

Lekraj Beedassy, Oct 27 2003

Extensions

More terms from Ray Chandler, Oct 28 2003

Status

approved