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Baltic Way
2019 Baltic Way
19
19
Part of
2019 Baltic Way
Problems
(1)
y^2+z^2+1 cannot be a power of 7
Source: 2019 Baltic Way P19
11/18/2019
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.
number theory