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1
JBMO 2013 Shortlist
JBMO 2013 Shortlist
Source: Secret
April 16, 2015
number theory
Problem Statement
N
1
\boxed{N1}
N
1
find all positive integers
n
n
n
for which
1
3
+
2
3
+
⋯
+
16
3
+
17
n
1^3+2^3+\cdots+{16}^3+{17}^n
1
3
+
2
3
+
⋯
+
16
3
+
17
n
is a perfect square.
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