# Validation of preposition Calculator

## Validates the proposition for all positive integer n≧4 which is inspired by Fermat Last Theorem.

 No two positive integers a and b can satisfy the equation $\normal \hspace{10} {\large \sum_{\small j=0}^{\small n-1}}(a+j)^n=b^n,\hspace{20} integer\ n\ge 4 \\[5]$If b exists in calculation, the values a and b are displayed for each n.
 initial value n 〜 final value n≧2 initial value a 〜 final value a≧1
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 1) Set the number of calculation digits to about “n+1” times the number of digit of final value "a”.2) When the calculation range is too wide, the calculation stops due to time over.In this proposition, n = 2 and 3 exist.　n=2,　　32+42=52,　　202+212=292, 　... 　n=3,　　33+43+53=63--- Fermat's Last Theorem ----------------No three positive integers X, Y, and Z can satisfy the equation    Xn+Yn=Zn         integer n>2

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