  A perfect cuboid, popularly known as a perfect Euler brick/a perfect box, is
a cuboid having integer side lengths, integer face diagonals and an integer
space diagonal. Euler provided an example where only the body diagonal became
deficient for an integer value but it is known as an Euler brick. Nobody has
discovered any perfect cuboid, however many of us have tried it. The results of
this research paper prove that there exists no perfect cuboid.
