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A331367 Perimeters of primitive Heronian triangles with mutually distinct side lengths.

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%I A331367 #27 Feb 16 2025 08:33:59
%S A331367 12,30,32,36,40,42,44,48,54,56,60,64,66,68,70,72,76,78,80,84,90,96,98,
%T A331367 100,104,108,110,112,114,120,126,128,130,132,136,140,144,150,152,154,
%U A331367 156,160,162,164,168,170,172,174,176,180,182,186,190,192,196,198,200,204,208
%N A331367 Perimeters of primitive Heronian triangles with mutually distinct side lengths.
%H A331367 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HeronianTriangle.html">Heronian Triangle</a>
%H A331367 Wikipedia, <a href="https://en.wikipedia.org/wiki/Heronian_triangle">Heronian triangle</a>
%H A331367 Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a>
%e A331367 a(1) = 12; there is one primitive Heronian triangle with perimeter 12 such that all side lengths are mutually distinct, [3,4,5].
%e A331367 a(2) = 30; there is one primitive Heronian triangle with perimeter 30 such that all side lengths are mutually distinct, [5,12,13].
%Y A331367 Cf. A331366, A334665.
%K A331367 nonn
%O A331367 1,1
%A A331367 _Wesley Ivan Hurt_, May 07 2020