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A089489 Smallest k greater than n such that (k^2-n^2, 2*k*n, k^2+n^2) is a primitive Pythagorean triple and the corresponding right triangle has a prime hypotenuse. 7

%I #3 Mar 30 2012 18:50:42

%S 2,3,8,5,6,11,8,13,10,13,14,13,20,15,22,19,18,23,20,23,26,23,30,25,26,

%T 31,32,33,30,31,44,33,40,35,36,49,40,45,40,43,44,43,48,49,52,49,48,53,

%U 74,51,56,57,58,59,58,61,68,63,64,61,64,65,80,71,66,71,80,95,70,71,84

%N Smallest k greater than n such that (k^2-n^2, 2*k*n, k^2+n^2) is a primitive Pythagorean triple and the corresponding right triangle has a prime hypotenuse.

%C A068487(n) = a(n)^2 + n^2;

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PythagoreanTriple.html">Pythagorean Triple</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/RightTriangle.html">Right Triangle</a>

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Nov 04 2003

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