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Benedict Irwin added section_Fermat_Like_Problem_Observing__.tex
over 8 years ago
Commit id: 76dca2771381e85fb50251fa8f34772e47ad2d20
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\section{Fermat Like Problem}
Observing other solutions we can infer a general rule for any $a^n+b^n$ \begin{equation}
\begin{matrix}
1^n+2^n & 2,3/2,1/6,4/3,0\\
2^n+3^n & 2,5/2,1/10,12/5,0\\
3^n+4^n & 2,7/2,1/14,24/7,0 & A074605\\
3^n+5^n & 2,8/2,4/16,30/8,0 & A074606\\
a^n+b^n & 2,(a+b)/2,\frac{|a-b|}{a+b},\frac{2ab}{a+b},0\\
c^n & 1,c,0,0 \\
\end{matrix}
\end{equation}
