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Minimum length of longest edge of a tetrahedron with integer edges and integer volume 3*n.
1

%I #5 Sep 25 2017 11:06:03

%S 76,7,8,16,8,16,10,7,40,11,27,12,308,13,84,9,128,17,28,16,16,16,34,12,

%T 20,17,91,12

%N Minimum length of longest edge of a tetrahedron with integer edges and integer volume 3*n.

%C A tetrahedron with integer edges has an integer volume only when the volume is a multiple of 3. It is unknown whether such tetrahedra exist for every multiple of 3.

%H K. L. Dove and J. S. Sumner, <a href="http://www.jstor.org/stable/2690489">Tetrahedra with Integer Edges and Integer Volume</a>, Mathematics Magazine, Volume 65(2), April 1992, pp. 104-111.

%K more,nonn

%O 1,1

%A _William Rex Marshall_, Feb 15 2007