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2010 Greece Junior Math Olympiad
1
Number Theory
Number Theory
Source: Archimedes Junior 2010
March 17, 2020
number theory
Problem Statement
Determine the number of all positive integers which cannot be written in the form
80
k
+
3
m
80k + 3m
80
k
+
3
m
, where
k
,
m
ā
N
=
{
0
,
1
,
2
,
.
.
.
,
}
k,m \in N = \{0,1,2,...,\}
k
,
m
ā
N
=
{
0
,
1
,
2
,
...
,
}
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