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Pairs of Pythagorean numbers differing by 6.
2

%I #9 Jan 05 2025 19:51:40

%S 24,30,54,60,210,216,330,336,480,486,540,546,720,726,750,756,1344,

%T 1350,1710,1716,2160,2166,8664,8670,8970,8976,10080,10086,10290,10296,

%U 12144,12150,15600,15606,18144,18150,24570,24576,28560,28566,30240,30246,34650,34656

%N Pairs of Pythagorean numbers differing by 6.

%C These are pairs of terms of A009111 differing by 6 -- the least amount possible. Mohanty and Mohanty call these twin Pythagorean numbers. In Theorem 9, they prove that there are an infinite number of these numbers.

%H Supriya Mohanty and S. P. Mohanty, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Scanned/28-1/mohanty.pdf">Pythagorean Numbers</a>, Fibonacci Quarterly 28 (1990), 31-42.

%Y Cf. A009111 (Pythagorean numbers).

%Y Cf. A228876, A228877 (upper and lower Pythagorean twins).

%K nonn

%O 1,1

%A _T. D. Noe_, Sep 24 2013