Diophantine equations
Keywords:
Diophantine equation, Non-negative integer solution, Prime numberAbstract
In this paper, we are interested to study two Diophantine equations and where p,q are prime numbers. The results of this study, we found that the Diophantine equation has only one non-negative integer solution, that is for the Diophantine equation has no solution.
References
Sroysang, B., (2012). On the Diophantine equation . Int. J. Pure Appl. Math., 81, (605-608).
Rabago, J.F.T., (2013). On two Diophantine equations and . Int. J. Math. Sci. Comput., 3(1), (28-29).
Burshtein, N. (2018). On Solutions to the Diophantine Equations . Pure Appl. Math., 18(1), (79-81).
Burshtein, N.(2018).On Solutions of the Diophantine Equations and when and are Primes. Pure Appl. Math., 18(1), (51-57).
Burshtein, N.(2018).On Solutions of the Diophantine Equations and when and are Primes. Pure Appl. Math., 19(1), (1-5).
Burshtein, N. (2017). On solution of the Diophantine equation . Ann. Pure Appl. Math., 13, (143-149).
Vesarachasart S., Sakornthai K., Phumiphong N. and Lueangsubthawee W. (2019). All Solutions of the Diophantine equation where and are Prime numbers. Thai Journal of Science and Technology, 9(2), (207-210).
Patthanangkoor, T. (2007). Elementary of number theory. Pathum Thani: Thammasat University Press.