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For a prime number $p$ the set of co-primes less than or equal to it is given by $\{1,2,3,4,...p-1\}$. For $0, we define $f(x,p)= 1$ if and only if all the numbers from $1$ to $p-1$ can be written as a power of $x$ in modulo-$p$ arithmetic. Let $n$ be the largest $12$-digit prime number . Find the product of all integers $j$ less than $n$ such that $f(j,n)=1$.

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    (that should be a 4, not a 3, above)2012-01-27

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