Saturday, November 21, 2015



Fermat's Last Theorem is important in the development of the TRUE unit analysis of quantum data.

Concerning whole numbers, while certain squares can be separated into two squares, it is impossible to separate a cube into two cubes or a fourth power into two fourth powers or, in general any power greater than the second into two powers of like degree. I have discovered a truly marvelous demonstration, which this margin is too narrow to contain.”
-        Pierre de Fermat, circa 1637 [1]

Fermat’s marvelous proof was never found and the theorem remained officially a conjecture without proof until Andrew Wiles published a lengthy treatment in 1995 that was accepted by number theorists as a valid proof [3]. Prior to that, however, Edward R. Close completed a proof in 1965 (FLT65), submitted it to the first of many reviewers in 1966, and published it in 1977 [4]. The Close proof though never refuted, presented difficulties for some reviewers because of unconventional notation, and at least three reviewers have suggested that the difference between applying the division algorithm to algebraic polynomial factors and integer factors of the equation as used in the proof make it questionable and either incomplete or incorrect. This concern is addressed in this paper and shown to be unwarranted: There has been a tendency for reviewers to ignore the uniqueness requirements for the division algorithm stated in FLT65 while looking for mistakes which they assume must be there, for reasons explained in this paper. When everything presented in FLT65 is appropriately considered, the concern over the application of the division algorithm is eliminated, removing the only serious objections to the proof. 

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