On the Diophantine Equation 8^x+n^y=z^2

Orosram, Wachirarak; Comemuang, Chalermwut

dc.contributor.author	Orosram, Wachirarak
dc.contributor.author	Comemuang, Chalermwut
dc.date.accessioned	2020-12-09T09:31:24Z
dc.date.available	2020-12-09T09:31:24Z
dc.date.issued	2020-10-29
dc.identifier.citation	WSEAS TRANSACTIONS on MATHEMATICS	en_US
dc.identifier.issn	1109-2769
dc.identifier.uri	http://dspace.bru.ac.th/xmlui/handle/123456789/7241
dc.description.abstract	Let n be an positive integer with n=10(mod15). In this paper, we prove that (1,0,3) is unique non-negative integer solution (x,y,z) of the Diophantine equation 8^x+n^y=z^2, where x,y and z are non-negative integers.	en_US
dc.language.iso	en	en_US
dc.publisher	มหาวิทยาลัยราชภัฏบุรีรัมย์	en_US
dc.subject	exponential Diophantine equation	en_US
dc.subject	Mersnne primes	en_US
dc.subject	solution	en_US
dc.subject	Factor	en_US
dc.subject	positive integral	en_US
dc.subject	non-negative integer	en_US
dc.title	On the Diophantine Equation 8^x+n^y=z^2	en_US
dc.title.alternative	On the Diophantine Equation 8^x+n^y=z^2	en_US
dc.type	Article	en_US
dc.contributor.emailauthor	chalermwut.cm@bru.ac.th	en_US