Number of positive integers x which f-x-x-3-8 x-2-20 x-13 is a prime number is-

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Number of positive integers $$ x $$ for which $$ f(x)=x^{3}-8 x^{2}+20 x-13 $$ is a prime number is.

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Number of positive integers $$ x $$ for which $$ f(x)=x^{3}-8 x^{2}+20 x-13 $$ is a prime number is.

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