MathDB
Problems
Contests
National and Regional Contests
Taiwan Contests
Taiwan APMO Prelininary
2019 Taiwan APMO Preliminary Test
P5
P5
Part of
2019 Taiwan APMO Preliminary Test
Problems
(1)
2019 Taiwan APMO Preliminary P5
Source: 2019 Taiwan APMO Preliminary
8/23/2020
Find the minimum positive integer
n
n
n
such that for any set
A
A
A
with
n
n
n
positive intergers has
15
15
15
elements which sum is divisible by
15
15
15
.
Sets
set theory
number theory