Wachirarak Orosram, Chalermwut Comemuang, "On the Diophantine Equation 8^x+n^y=z^2," WSEAS Transactions on Mathematics, vol. 19, pp. 520-522, 2020, DOI:10.37394/23206.2020.19.56
Wachirarak Orosram, Chalermwut Comemuang. On the Diophantine Equation 8^x+n^y=z^2.
WSEAS Transactions on Mathematics. 2020;19:520-522. 10.37394/23206.2020.19.56
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 19, 2020
On the Diophantine Equation 8^x+n^y=z^2
Authors: ,
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-negativeintegers.
Keywords:
exponential Diophantine equation, Mersenne primes, solution, Factor, positive integral, non-negative integer
Pages: 520-522 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 19, 2020, Art. #56 DOI: 10.37394/23206.2020.19.56
×
Citation Tools