A087937 - OEIS

%I #18 Jan 25 2020 14:32:29

%S 17,29,37,53,73,101,109,137,173,197,229,241,257,281,293,349,373,397,

%T 401,409,449,457,509,577,593,601,641,661,677,701,733,757,809,829,857,

%U 877,941,977,997,1021,1033,1049,1061,1093,1153,1181,1193,1229,1237,1277

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

%C Ordered intersection of A002144 and A081985.

%C 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

%H Ray Chandler, <a href="/A087937/b087937.txt">Table of n, a(n) for n = 1..10000</a>

%Y Cf. A002144, A008846, A081985, A087937.

%K nonn

%O 1,1

%A _Lekraj Beedassy_, Oct 27 2003

%E More terms from _Ray Chandler_, Oct 28 2003