Search: id:A068966
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%I A068966
%S A068966 6,66,3204,6810,37716,72006,182430,532236,370614,2155134,3203694,
%T A068966 6353634
%N A068966 Areas of integer Heronian triangles [prime(A068964(n)), prime(A068964(n)+1), 
               A068965(n)].
%H A068966 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               HeronianTriangle.html">Heronian Triangle</a>.
%H A068966 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               HeronsFormula.html">Heron's Formula</a>.
%e A068966 A068964(3) = 24: [prime(24), prime(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 a(3) = 3204.
%Y A068966 Cf. A046131, A055595, A068969.
%Y A068966 Sequence in context: A122020 A126459 A054969 this_sequence A063039 A082781 
               A099147
%Y A068966 Adjacent sequences: A068963 A068964 A068965 this_sequence A068967 A068968 
               A068969
%K A068966 nonn
%O A068966 1,1
%A A068966 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 30 2002

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