Properties of Higher-Order Prime Number Sequences
Michael P. May
TL;DR
This paper investigates properties of prime number sequences generated by alternating sums of higher-order prime subsequences and introduces a new sieve method for their systematic generation.
Contribution
It presents a novel sieve technique for generating higher-order prime sequences and analyzes their properties, expanding understanding of prime number patterns.
Findings
Identification of unique properties of higher-order prime sequences
Development of a new sieve method for sequence generation
Insights into the structure of prime subsequences
Abstract
In this paper, we analyze properties of prime number sequences produced by the alternating sum of higher-order subsequences of the primes. We also introduce a new sieve which will generate these prime number sequences via the systematic selection and elimination of prime number indexes on the real number line.
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