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2002 Korea Junior Math Olympiad
2
2002 KJMO P2
2002 KJMO P2
Source: 2002 KJMO
June 29, 2024
number theory
prime numbers
Problem Statement
Find all prime number
p
p
p
such that
p
2002
+
200
3
p
−
1
−
1
p^{2002}+2003^{p-1}-1
p
2002
+
200
3
p
−
1
−
1
is a multiple of
2003
p
2003p
2003
p
.
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