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Values of m, the main key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes.
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%I #12 Oct 14 2021 18:11:59

%S 2,3,6,10,15,51,175,261,285,286,331,546,745,1135,1171,1275,1330,1365,

%T 1366,2025,2640,3180,3436,3780,4116,4861,5860,5890,6036,6670,8646,

%U 8961,8980,9715,9945,10116,10180,15771,16590,16876,19326,20215,20266,21451

%N Values of m, the main key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes.

%H Robert Simms, <a href="https://web.archive.org/web/20080622012348/http://www.math.clemson.edu/~simms/neat/math/pyth/">Deriving Pythagorean Triples</a> (web archive)

%F a(n) = (A051642(n) + 1) / 2. - _Sean A. Irvine_, Oct 12 2021

%Y Cf. A051892. See A051642 for the S's, A051859 for the U's and A051858 for the T's (the even long leg).

%K nonn

%O 1,1

%A Stuart M. Ellerstein (ellerstein(AT)aol.com), Dec 17 1999

%E More terms from _Joshua Zucker_, May 12 2006