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National and Regional Contests
Costa Rica Contests
Costa Rica - Final Round
2015 Costa Rica - Final Round
N3
N3
Part of
2015 Costa Rica - Final Round
Problems
(1)
ab-1 | a^2 + 1 OLCOMA Costa Rica 2015 SL N3 day2
Source:
9/30/2021
Find all the pairs
a
,
b
∈
N
a,b \in N
a
,
b
∈
N
such that
a
b
−
1
∣
a
2
+
1
ab-1 |a^2 + 1
ab
−
1∣
a
2
+
1
.
number theory
divides