2025 USAMO Problems/Problem 1
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Contents
[hide]Problem
Let and
be positive integers. Prove that there exists a positive integer
such that for every odd integer
, the digits in the base-
representation of
are all greater than
.
Solution
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See Also
2025 USAMO (Problems • Resources) | ||
Preceded by First Question |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAMO Problems and Solutions |
2025 USAJMO (Problems • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAJMO Problems and Solutions |
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