2 citations · 5 across the 7 of their papers we have counts for
7 papers
Application of the Inclusion-Exclusion Principle to Prime Number Subsequences
Michael P. May
We apply the Inclusion-Exclusion Principle to a unique pair of prime number subsequences to determine whether these subsequences form a small set or a large set and thus whether th…
Approximating the Prime Counting Function via an Operation on a Unique Prime Number Subsequence
Michael P. May
We reveal a relationship between the prime counting function and an operation performed on a unique subsequence of the primes.
Properties of Higher-Order Prime Number Sequences
Michael P. May
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…
On the Location of the Non-Trivial Zeros of the RH
Michael P. May
This research paper presents the results of a study on the application of extended analytic continuation to locate the non-trivial zeros of the Riemann Hypothesis.
A Non-Sieving Application of the Euler Zeta Function
Michael P. May
One familiar with the Euler zeta function, which established the remarkable relationship between the prime and composite numbers, might naturally ponder the results of the applicat…
On the Existence and Frequency Distribution of the Shell Primes
Michael P. May
This research presents the results of a study on the existence and frequency distribution of the shell primes defined herein as prime numbers that result from the calculation of th…
A closed-form solution for the flat-state geometry of cylindrical surface intersections bounded on all sides by orthogonal planes
Michael P. May
A closed-form solution for the boundary of the flat state of an orthogonal cross section of contiguous surface geometry formed by the intersection of two cylinders of equal radii o…