Small Prime Solutions of Quadratic Equations

Type: Article

Publication Date: 2002-02-01

Citations: 14

DOI: https://doi.org/10.4153/cjm-2002-004-4

Abstract

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 .

Locations

  • Canadian Journal of Mathematics - View - PDF

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