ON PAIRS OF LINEAR EQUATIONS IN FOUR PRIME VARIABLES AND POWERS OF TWO

Author:

KONG YAFANG

Abstract

AbstractIn this paper, we consider the simultaneous representation of pairs of positive integers. We show that every pair of large positive even integers can be represented in the form of a pair of linear equations in four prime variables and k powers of two. Here, k=63 in general and k=31 under the generalised Riemann hypothesis.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

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1. On pairs of Goldbach-Linnik equations with unequal powers of primes;Czechoslovak Mathematical Journal;2023-10-12

2. A pair of equations in two prime squares, four prime cubes and powers of two;The Ramanujan Journal;2023-05-29

3. A PAIR OF EQUATIONS IN EIGHT PRIME CUBES AND POWERS OF 2;Bulletin of the Australian Mathematical Society;2022-12-14

4. On pairs of equations in unlike powers of primes and powers of 2;Open Mathematics;2017-12-29

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