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 A155171 Numbers p 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. 10
 1, 2, 7, 10, 20, 29, 44, 50, 65, 70, 76, 77, 101, 104, 107, 115, 154, 175, 197, 202, 226, 227, 247, 275, 371, 380, 412, 457, 490, 500, 574, 596, 647, 671, 682, 710, 764, 829, 926, 1052, 1085, 1102, 1127, 1186, 1204, 1205, 1225, 1256, 1280, 1324, 1325, 1331 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS p=1,q=2,a=3,b=4,c=5,s=12-+1 primes, ... LINKS MATHEMATICA 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, n]], {n, 8!}]; lst CROSSREFS Cf. A020882, A020886, A020884, A020883, A024364, A024406 Sequence in context: A309805 A125852 A336903 * A049830 A270879 A022302 Adjacent sequences:  A155168 A155169 A155170 * A155172 A155173 A155174 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, Jan 21 2009 STATUS approved

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Last modified May 12 23:35 EDT 2021. Contains 343829 sequences. (Running on oeis4.)