Sums of Primes and Squares of Primes in Short Intervals

Abstract

Let H2 denote the set of even integers n 6≡ 1 (mod 3). We prove that when H ≥ X, almost all integers n ∈ H2 ∩ (X,X + H] can be represented as the sum of a prime and the square of a prime. We also prove a similar result for sums of three squares of primes. 

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Cite this paper

@inproceedings{Kumchev2008SumsOP, title={Sums of Primes and Squares of Primes in Short Intervals}, author={Angel V. Kumchev}, year={2008} }