Sums of Powers of Primes in Arithmetic Progression
Sums of Powers of Primes in Arithmetic Progression
Gerard and Washington proved that, for k > -1, the number of primes less than xk+1 can be well approximated by summing the kth powers of all primes up to x. We extend this result to primes in arithmetic progressions: we prove that the number of primes p congruent to …