Problem

A near-repunit is an integer kRn that has n − 1 digits equal to 1, and a 0 in the k + 1’st...

A near-repunit is an integer kRn that has n − 1 digits equal to 1, and a 0 in the k + 1’st place from the right; that is,

Show that if gcd(n − 1 , 3k) > 1, then kRn is composite.

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