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How many solutions (a,b,c,n)(a,b,c,n)(a,b,c,n) are there to the equation an+bn=cna^n+b^n=c^nan+bn=cn for n>2n > 2n>2 and a,b,c,n∈Za,b,c,n\in \mathbb Za,b,c,n∈Z
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