ICNPAA 2010: Mathematical Problems in
Engineering, Aerospace and Sciences

Fermat's Last Theorem (FLT) was until the mid-1990's the most famous unsolved problem in mathematics.  In about 1637 Pierre de Fermat stated that: For all  n>2  there do not exist  x,y,z  such that  xⁿ+yⁿ=zⁿ , where  x,y,z  are positive integers. He claimed that he had a simple proof of this theorem, but no record of it has ever been found. Ever since that time, countless professional and amateur mathematicians have tried to find a valid proof. Even outstanding mathematicians (e.g. Euler, Legendre, Dirichlet and others) could only prove that this equation worked for individual numbers n.  In 1994 professor Andrew Wiles of Princeton University announced that he had discovered a proof while working on a more general problem in geometry  [1]. Wile's proof is based on modern mathematical tools, which were not known for Fermat. Apparently the Fermat's proof should be not beyond seventeenth century mathematics.  Is it possible that FLT has a simple solution, it was an open question to date.  This paper presents an elementary proof of Fermat's Last Theorem.

Reference:

[1] Singh, Simon. Fermat's Enigma. New York: Anchor Books, 1998.v