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2011 Armenian Republican Olympiads
Problem 4
Problem 4
Part of
2011 Armenian Republican Olympiads
Problems
(1)
Problem 1 Day 2
Source: 2011 Armenian Republican Olympiad
8/1/2016
What is the maximal number of elements we can choose form the set
{
1
,
2
,
…
,
31
}
\{1, 2, \ldots, 31\}
{
1
,
2
,
…
,
31
}
, such that the sum of any two of them is not a perfect square.
number theory