A051891 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.

2, 3, 6, 10, 15, 51, 175, 261, 285, 286, 331, 546, 745, 1135, 1171, 1275, 1330, 1365, 1366, 2025, 2640, 3180, 3436, 3780, 4116, 4861, 5860, 5890, 6036, 6670, 8646, 8961, 8980, 9715, 9945, 10116, 10180, 15771, 16590, 16876, 19326, 20215, 20266, 21451

Offset

1,1

Links

Table of n, a(n) for n=1..44.

Robert Simms, Deriving Pythagorean Triples (web archive)

Formula

a(n) = (A051642(n) + 1) / 2. - Sean A. Irvine, Oct 12 2021

Crossrefs

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

Sequence in context: A055789 A238891 A048681 * A108062 A347117 A269403

Adjacent sequences: A051888 A051889 A051890 * A051892 A051893 A051894

Keyword

nonn

Author

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

Extensions

More terms from Joshua Zucker, May 12 2006

Status

approved