id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4936	Laipaporn, Kittipong; Kaewchay, Saowapak; Karnbanjong, Adisak	On the Diophantine Equations $a^x+b^y+c^z=w^2$	2023	16	.pdf	application/pdf	7005	443	87	Since 1+by+cz ≡ 3 (mod 4) and w2 ≡ 0, 1 (mod 4), equation ax+by+cz = w2 has no solution for the case x = 0. Therefore, in this article, we investigate the exponential Diophantine equation in the form ax + by + cz = w2, using only elementary tools related to modulo concepts.	cache/ejpam-4936.pdf	txt/ejpam-4936.txt