Number Theory


Perfect Cuboid is not Possible

Authors: V.I.Saenko

A perfect cuboid, i.e., a rectangular parallelepiped having integer edges, integer face diagonals, and integer space diagonal, is proved to be not possible

Comments: 3 Pages. This is a corrected Russian variant. In the previous version, the reviewer found a significant error. Systems (10) and (11) can be excluded. The left-hand side of the first equation of system (9) is certainly not zero for even M and odd G.

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Submission history

[v1] 2017-05-31 07:58:56
[v2] 2017-06-05 13:24:31

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