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5
Albanian TST 2014 5th problem
Albanian TST 2014 5th problem
Source:
April 22, 2014
modular arithmetic
number theory proposed
number theory
Problem Statement
Find all non-negative integers
k
,
n
k,n
k
,
n
which satisfy
2
2
k
+
1
+
9
ā
2
k
+
5
=
n
2
2^{2k+1} + 9\cdot 2^k+5=n^2
2
2
k
+
1
+
9
ā
2
k
+
5
=
n
2
.
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