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

Author

Lekraj Beedassy, Oct 27 2003

Keywords

• nonn

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.

Extensions

More terms from Ray Chandler, Oct 28 2003