- #1
MathLover_James
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There can't be a, b and c integers such that:
- a^2 + b^2 = 3*c^2
This is a consequence of the sum of two squares theorem. This says (among other things) that if the prime decomposition of an integer $n$ contains $3$ raised to an odd power then $n$ cannot be the sum of two squares. Since the number $n = 3c^2$ has an odd power of $3$ in its prime decomposition, the theorem says that it cannot be the sum of two squares.MathLover_James said:There can't be a, b and c integers such that:
- a^2 + b^2 = 3*c^2
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