On the Exponential Diophantine Equation (m(2) + m+1)(x) + m(y) = (m+1)(z)
Abstract
Let
$m \ge 1
be a positive integer. We show that the exponential Diophantine equation
(m^2+m+1)^x+m^y=(m+1)^z
has no positive integer solutions other than
(x,y,z)=(1,1,2)
when
m \not \in \{1, 2, 3...
Paper Details
Title
On the Exponential Diophantine Equation (m(2) + m+1)(x) + m(y) = (m+1)(z)
Published Date
Dec 1, 2020
Volume
17
Issue
6
Pages
1 - 8
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