Type: Article
Publication Date: 2002-02-01
Citations: 14
DOI: https://doi.org/10.4153/cjm-2002-004-4
Abstract Let b 1 ,…, b 5 be non-zero integers and n any integer. Suppose that b 1 + … + b 5 ≡ n (mod 24) and ( b i , b j ) = 1 for 1 ≤ i < j ≤ 5. In this paper we prove that (i) if all b j are positive and , then the quadratic equation is soluble in primes p j , and (ii) if b j are not all of the same sign, then the above quadratic equation has prime solutions satisfying .