MathDB
Problems
Contests
International Contests
IMO Longlists
1979 IMO Longlists
5
All naturals not in the form n + √n + 1/2
All naturals not in the form n + √n + 1/2
Source: IMO LongList 1979 - P5
May 29, 2011
floor function
number theory proposed
number theory
Problem Statement
Describe which positive integers do not belong to the set
E
=
{
⌊
n
+
n
+
1
2
⌋
∣
n
∈
N
}
.
E = \left\{ \lfloor n+ \sqrt n +\frac 12 \rfloor | n \in \mathbb N\right\}.
E
=
{
⌊
n
+
n
+
2
1
⌋
∣
n
∈
N
}
.
Back to Problems
View on AoPS