TL;DR
This paper investigates the distribution of pairs consisting of a prime and a prime power separated by a fixed difference, providing an improved average result over previous work.
Contribution
It offers a partial improvement on Bauer's 1998 result by analyzing the average distribution of prime and prime power pairs with a fixed difference.
Findings
Provides an improved average distribution result for prime-prime power pairs.
Advances understanding of the occurrence of prime and prime power pairs with fixed differences.
Builds on and refines previous results by Bauer (1998).
Abstract
In this paper, we consider pairs of a prime and a prime power with a fixed difference. We prove an average result on the distribution of such pairs. This is a partial improvement of the result of Bauer (1998).
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Taxonomy
TopicsAnalytic Number Theory Research · Limits and Structures in Graph Theory · graph theory and CDMA systems