MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN O Problems
20
O 20
O 20
Source:
May 25, 2007
Problem Statement
Determine the smallest integer
n
≥
4
n \ge 4
n
≥
4
for which one can choose four different numbers
a
,
b
,
c
,
a, b, c,
a
,
b
,
c
,
and
d
d
d
from any
n
n
n
distinct integers such that
a
+
b
−
c
−
d
a+b-c-d
a
+
b
−
c
−
d
is divisible by
20
20
20
.
Back to Problems
View on AoPS