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A155176 Perimeter s/6 (divided by 6) of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs, q=p+1, a=q^2-p^2, c=q^2+p^2, b=2*p*q, s=a+b+c, s-+1 are primes.

%I A155176 #2 Mar 31 2012 12:38:20
%S A155176 2,5,40,77,287,590,1335,1717,2882,3337,3927,4030,6902,7315,7740,8932,
%T A155176 15965,20592,26070,27405,34277,34580,40920,50692,92132,96647,113575,
%U A155176 139690,160557,167167,220225,237407,279720,300832,310765,336777,389895
%N A155176 Perimeter s/6 (divided by 6) of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs, q=p+1, a=q^2-p^2, c=q^2+p^2, b=2*p*q, s=a+b+c, s-+1 are primes.
%C A155176 p=1,q=2,a=3,b=4,c=5,s=12-+1primes, ...
%t A155176 lst={};Do[p=n;q=p+1;a=q^2-p^2;c=q^2+p^2;b=2*p*q;s=a+b+c;If[PrimeQ[s-1]&&PrimeQ[s+1],AppendTo[lst,s/6]],{n,8!}];lst
%Y A155176 Cf. A020882, A020886, A020884, A020883, A024364, A024406, A155171, A155173, A155174, A155175
%K A155176 nonn
%O A155176 1,1
%A A155176 _Vladimir Joseph Stephan Orlovsky_, Jan 21 2009