MathDB
Problems
Contests
National and Regional Contests
Romania Contests
Romania Team Selection Test
2021 Romania Team Selection Test
1
Divisibility
Divisibility
Source: Turkey TST 2014 Day 2 Problem 4
March 12, 2014
modular arithmetic
number theory proposed
number theory
Problem Statement
Find all pairs
(
m
,
n
)
(m,n)
(
m
,
n
)
of positive odd integers, such that
n
∣
3
m
+
1
n \mid 3m+1
n
∣
3
m
+
1
and
m
∣
n
2
+
3
m \mid n^2+3
m
∣
n
2
+
3
.
Back to Problems
View on AoPS