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Odd sides belonging to multiple primitive Euler bricks.
0

%I #21 Feb 16 2025 08:33:17

%S 1155,4599,5643,8415,9405,10395,10725,66495,200385,1100385,1769229,

%T 2518725,2673585,2807805,4150575,4362115,8191161,8954495,11534489,

%U 12645009,13435565,19875933,25560909,31122325,45285075,45930885,55257111,62379225,75081435,93205889

%N Odd sides belonging to multiple primitive Euler bricks.

%C Primitive Euler bricks are defined by (a, b, c) where a^2+b^2=u^2, b^2+c^2=v^2, a^2+c^2=w^2, gcd(a, b, c) = 1, and all values are integers, thus defining a cuboid with integer edges and face diagonals.

%C At most one of a, b, and c must be odd. This list shows those odd values which belong to more than one valid (a, b, c) set.

%H Eric Weisstein, <a href="https://mathworld.wolfram.com/EulerBrick.html">MathWorld: Euler Brick</a>

%K nonn

%O 1,1

%A _Alan Griffiths_, May 11 2012