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math.GM2021★ 1 cited
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.
math.NT2021★ 2 cited
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…