id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4508	Orosram, Wachirarak; Makonwattana, Kitsanuphong; Khongsawat, Saichon	On the Diophantine Equation (p + 4n)^ x + p^y = z^2	2022	4	.pdf	application/pdf	2020	143	84	In 2014, Suvarnamani [11] proved that the equation px+(p+1)y = z2 has a unique non-negative integer solution (p, x, y, z) = (3, 1, 0, 2) when p is an odd prime number. In 2020, Burshtein [1] proved that a Diophantine equation px+(p+12)y = z2 has no positive integer solution (x, y, z), when p is a prime number such that p+ 5 = 22u.	cache/ejpam-4508.pdf	txt/ejpam-4508.txt