Divisibility in paired progressions, Goldbach's conjecture, and the infinitude of prime pairs

Autor:	Ziller, Mario, Morack, John F.
Rok vydání:	2017
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We investigate progressions in the set of pairs of integers $\mathbb{Z}^2$ and define a generalisation of the Jacobsthal function. For this function, we conjecture a specific upper bound and prove that this bound would be a sufficient condition for the truth of the Goldbach conjecture, the infinitude of prime twins, and more general of prime pairs with a fixed even difference. Comment: 10 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1706.00317 Zobrazit plný text záznamu View this record from Arxiv