2019 USAMO Problems/Problem 3
Problem
Let be the set of all positive integers that do not contain the digit
in their base-
representation. Find all polynomials
with nonnegative integer coefficients such that
whenever
.
Solution
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.
See also
2019 USAMO (Problems • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAMO Problems and Solutions |