, Volume 22, Issue 5, pp 1329-1342

The Exceptional Set in the Two Prime Squares and a Prime Problem

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Abstract

In this paper we prove that, with at most \( O{\left( {N^{{\frac{5} {{12}} + \in }} } \right)} \) exceptions, all positive odd integers nN with n ≡ 0 or 1(mod 3) can be written as a sum of a prime and two squares of primes.

Project supported by National Natural Science Foundation(No. 90304009) and Foundation of Qufu Normal University for Ph. D.