Validation of preposition Calculator

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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

\(\normalsize \hspace{10px} {\large \displaystyle \sum_{\small j=0}^{\small n-1}}(a+j)^n=b^n,\hspace{20px} integer\ n\ge 4 \\\)

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

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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