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2019 USAMO Problems/Problem 3

Revision as of 22:41, 21 April 2019 by Superram (talk | contribs) (Created page with "==Problem== Let <math>K</math> be the set of all positive integers that do not contain the digit <math>7</math> in their base-<math>10</math> representation. Find all polynomi...")
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Problem

Let $K$ be the set of all positive integers that do not contain the digit $7$ in their base-$10$ representation. Find all polynomials $f$ with nonnegative integer coefficients such that $f(n)\in K$ whenever $n\in K$.

Solution

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png

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
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