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Moldova Contests
JBMO TST - Moldova
2016 Junior Balkan Team Selection Tests - Moldova
6
5^x=y^4+4y+1
5^x=y^4+4y+1
Source: 2016 Moldova JBMO TST p6
February 20, 2021
diophantine
Diophantine equation
number theory
Problem Statement
Determine all pairs
(
x
,
y
)
(x, y)
(
x
,
y
)
of natural numbers satisfying the equation
5
x
=
y
4
+
4
y
+
1
5^x=y^4+4y+1
5
x
=
y
4
+
4
y
+
1
.
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