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2023 Francophone Mathematical Olympiad
4
20n+2 divides 2023n+210
20n+2 divides 2023n+210
Source: P4 Francophone Math Olympiad Junior 2023
May 2, 2023
number theory
divides
divisible
Problem Statement
Find all integers
n
⩾
0
n \geqslant 0
n
⩾
0
such that
20
n
+
2
20n+2
20
n
+
2
divides
2023
n
+
210
2023n+210
2023
n
+
210
.
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