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Mexico National Olympiad
2008 Mexico National Olympiad
1
n = d2^2 + d3^3
n = d2^2 + d3^3
Source: OMM 2008 1
July 19, 2014
number theory unsolved
number theory
Problem Statement
Let
1
=
d
1
<
d
2
<
d
3
<
⋯
<
d
k
=
n
1=d_1<d_2<d_3<\dots<d_k=n
1
=
d
1
<
d
2
<
d
3
<
⋯
<
d
k
=
n
be the divisors of
n
n
n
. Find all values of
n
n
n
such that
n
=
d
2
2
+
d
3
3
n=d_2^2+d_3^3
n
=
d
2
2
+
d
3
3
.
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