Properties of Higher-Order Prime Number Sequences

Michael P. May

doi:10.35834/2020/3202158

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 indices on the real number line.

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Michael P. May. "Properties of Higher-Order Prime Number Sequences." Missouri J. Math. Sci. 32 (2) 158 - 170, November 2020. https://doi.org/10.35834/2020/3202158

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Published: November 2020

First available in Project Euclid: 6 November 2020

MathSciNet: MR4171136

Digital Object Identifier: 10.35834/2020/3202158

Subjects:

Primary: 11A41

Secondary: 11B99

Keywords: alternating sum , Higher-order primes , Infinite sequences , Prime number indices , Prime number subsequences , primes , sieves

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