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Problems
Contests
National and Regional Contests
India Contests
Regional Mathematical Olympiad
2001 India Regional Mathematical Olympiad
7
7
Part of
2001 India Regional Mathematical Olympiad
Problems
(1)
Product of integers
Source: Indian RMO 2001 Problem 7
10/27/2005
Prove that the product of the first
1000
1000
1000
positive even integers differs from the product of the first
1000
1000
1000
positive odd integers by a multiple of
2001
2001
2001
.
modular arithmetic
number theory