Difference between revisions of "2005 IMO Problems/Problem 2"
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Revision as of 00:57, 19 November 2023
Problem
Let be a sequence of integers with infinitely many positive and negative terms. Suppose that for every positive integer
the numbers
leave
different remainders upon division by
. Prove that every integer occurs exactly once in the sequence.
Solution
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See Also
2005 IMO (Problems) • Resources | ||
Preceded by Problem 1 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 3 |
All IMO Problems and Solutions |