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National and Regional Contests
North Macedonia Contests
JBMO TST - Macedonia
2015 FYROM JBMO Team Selection Test
1
1
Part of
2015 FYROM JBMO Team Selection Test
Problems
(1)
Diophantine
Source: 2015 JBMO TST - Macedonia, Problem 1
12/31/2015
Solve the equation
x
2
+
y
4
+
1
=
6
z
x^2+y^4+1=6^z
x
2
+
y
4
+
1
=
6
z
in the set of integers.
number theory
Diophantine equation
Integer