What can be gleaned about primes from Algebraic Number Theory? I know this is too vague. What I mean is the following:

**Are there several examples where Algebraic Number Theory helps to solve ancient/long-standing problems about primes?**

Instances such as representibility of primes by quadratic forms 1 and the quadratic reciprocity law 2 have been suggested. **What role does ANT play in the theory of prime numbers, specifically prime distribution, gaps and progressions?** (Are there corresponding algebraic studies of these questions (in contract to the analytic point of view)?

I would be grateful if you point me to a survey on such topics. It doesn't hurt if the answer is No/None/Nothing, etc. Thanks.