Primes and arithmetic progressions.

[hansenscane]

The prime number theorem describes the distribution of the prime numbers, in a sense. Are there other prime number theorems corresponding the asymptotic distributions of primes in other arithmetic progressions containing infinitely many primes? I was just wondering.

 

[micromass]

Hi hansenscane!

See http://en.wikipedia.org/wiki/Prime_number_theorem under the section "The prime number theorem for arithmetic progressions"

 

[hansenscane]

Thank you very much.