MathDB
Problems
Contests
International Contests
Baltic Way
2019 Baltic Way
19
y^2+z^2+1 cannot be a power of 7
y^2+z^2+1 cannot be a power of 7
Source: 2019 Baltic Way P19
November 18, 2019
number theory
Problem Statement
Prove that the equation
7
x
=
1
+
y
2
+
z
2
7^x=1+y^2+z^2
7
x
=
1
+
y
2
+
z
2
has no solutions over positive integers.
Back to Problems
View on AoPS