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Perimeters of primitive Heronian triangles whose longest side length is prime.
2

%I #8 Feb 01 2021 19:09:46

%S 12,30,36,40,50,60,70,76,78,80,84,90,98,100,108,112,126,128,132,144,

%T 150,152,156,160,164,176,180,182,192,196,198,200,204,208,210,216,220,

%U 224,228,230,234,236,240,242,250,256,258,260,266,270,272,286,288,300,306,320

%N Perimeters of primitive Heronian triangles whose longest side length is prime.

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

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Heronian_triangle">Heronian triangle</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a>

%e a(1) = 12; there is one primitive Heronian triangle with a perimeter of 12 whose longest side length is prime, which is [3,4,5].

%e a(4) = 40; there is one primitive Heronian triangle with a perimeter of 40 whose longest side length is prime, [8,15,17].

%Y Cf. A010051, A096468, A334584, A334586.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 06 2020

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Last modified September 21 04:44 EDT 2024. Contains 376079 sequences. (Running on oeis4.)