Again Pythagoras

Consider the triplets of positive integers \((a,b,c)\) with \(a\) is odd, \(\gcd(a,b,c)=1\) and \(a^2+b^2=c^2\).

Which one can't be a value of \(b\)?

\[\] Notation: \(\gcd(\cdot) \) denotes the greatest common divisor function.

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