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Numbers that define integer Heronian triangles [prime(a(n)), prime(a(n)+1), A068965(n)] with area A068966(n).
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%I #14 Apr 20 2020 05:37:08

%S 2,5,24,49,87,182,307,379,458,677,1618,2427,4397,4944,5969,6496,8871,

%T 9526,11580,13063,16243,17970,18400,20225,25271,28275,37730,42387,

%U 46597,48681,50329,56586,58859,61930,64289,65078,70776,78360,80133,83638,83640,115956,118712

%N Numbers that define integer Heronian triangles [prime(a(n)), prime(a(n)+1), A068965(n)] with area A068966(n).

%H Giovanni Resta, <a href="/A068964/b068964.txt">Table of n, a(n) for n = 1..385</a>

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

%e a(3) = 24: [A000040(24), A000040(25), A068965(3)] = [89,97,170], with s = (89+97+170)/2 = 178: Area^2 = s*(s-89)*(s-81)*(s-170) = 178*89*81*8 = 10265616 = 3204*3204, therefore A068966(3) = 3204.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Mar 30 2002

%E Terms a(13) and beyond from _Giovanni Resta_, Apr 20 2020