First among Bombieri's achievements is his remarkable theorem on the distribution of primes in arithmetical progressions, which is obtained by an application of the methods of the large sieve.
Unang sa Bombieri's achievements ay ang kanyang pansin teorama sa pamamahagi ng primes sa arithmetical progressions, na kung saan ay nakuha sa pamamagitan ng isang application ng mga pamamaraan ng malaking salain.