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I'm wondering if this is true, or if anyone has seen this before:

Let q, t be coprime integers. Then there exist infinitely many primes r such that

1. q is primitive root modulo r and

2. r = q + kt, for some k > 0.

If we take away 1, this becomes Dirichlet's Thm.

http://en.wikipedia.org/wiki/Dirichlet's_theorem_on_arithmetic_progressions

But could this be true when we allow 1 ?

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# Dirichlet's Theorem on Arithmetic Progressions

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