id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4979	May, Michael P. 	Application of the Inclusion-Exclusion Principle to Prime Number Subsequences	2024	17	.pdf	application/pdf	4732	193	78	Thus, the operation performed on the right-hand side of Eq. 1 denotes an infinite alternating sum of the sets of prime number subsequences of increasing order. In this paper, we analyze the complementary prime number subsequences P′ and P′′ as well as revisit the twin prime subsequence P2. 2020 Mathematics Subject Classifications: 11A41, 11L20, 11B05, 11K31, 11N36 Key Words and Phrases: Prime numbers, Higher-order prime number sequences, Inclusion- Exclusion Principle, Sums over prime reciprocals, Prime density, Sieves 1.	cache/ejpam-4979.pdf	txt/ejpam-4979.txt