Autor:	Kittipong Laipaporn, Saeree Wananiyakul, Prathomjit Khachorncharoenkul
Rok vydání:	2019
Předmět:	Combinatorics Multidisciplinary Series (mathematics) Mathematics::Number Theory Modulo Diophantine equation Prime number Catalan's conjecture Mathematics
Zdroj:	Walailak Journal of Science and Technology (WJST). 16:647-653
ISSN:	2228-835X 1686-3933
DOI:	10.48048/wjst.2019.6933
Popis:	In this paper, we present new series of solutions of the Diophantine equation 3x + p5y = z2 where p is a prime number and x; y and z are nonnegative integers using elementary techniques. Moreover, the equation has no solution if p is equivalent to 5 or 7 modulo 24.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b058411c29e8caaef88d62c095631f87 https://doi.org/10.48048/wjst.2019.6933 Zobrazit plný text záznamu