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    • ON THE EXPONENTIAL DIOPHANTINE EQUATION x(2) + p(2m)=2y(n) 

      Zhu, Huilin; Le, Maohua; Togbe, Alain; 祝辉林 (B AUST MATH SOC, 2012-10)
      Let p be an odd prime. In this paper, we consider the equation x(2) + p(2m) = 2y(n), gcd(x, y) = 1, n > 2, and we describe all its solutions. Moreover, we prove that this equation has no solution (x, y, m, n) when n > 3 ...