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2017 Japan TST
7
Sum of quartic and power of 2 is perfect square
Sum of quartic and power of 2 is perfect square
Source: Japan TST 2017 P7
January 24, 2021
number theory
Problem Statement
Find all pairs of positive integers
(
n
,
k
)
(n,k)
(
n
,
k
)
such that
n
4
+
10
n
2
+
2
k
n^4+10n^2+2^k
n
4
+
10
n
2
+
2
k
is a perfect square.
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