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2014 BMO TST
5
5
Part of
2014 BMO TST
Problems
(1)
Albanian TST 2014 5th problem
Source:
4/22/2014
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
.
modular arithmetic
number theory proposed
number theory