On sequences of natural numbers having pairwise relatively prime terms
Konstantinos N. Gaitanas
TL;DR
This paper establishes conditions under which sequences of pairwise coprime natural numbers contain prime numbers, contributing to understanding the distribution of primes within such sequences.
Contribution
It provides new theorems offering sufficient conditions for the presence of primes in sequences with pairwise relatively prime terms.
Findings
Identifies conditions guaranteeing prime terms in coprime sequences
Proves theorems on the existence of primes in specific sequence classes
Enhances understanding of prime distribution in structured sequences
Abstract
We prove some theorems which give sufficient conditions for the existence of prime numbers among the terms of a sequence which has pairwise relatively prime terms.
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Taxonomy
TopicsAnalytic Number Theory Research · Coding theory and cryptography · Limits and Structures in Graph Theory