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