AIME 1989 Problem 13

Paper
Answer

Let $S$ be a subset of $\{1,2,3,\ldots,1989\}$ such that no two members of $S$ differ by $4$ or $7$ . What is the largest number of elements $S$ can have?

Dataset text AIME 1983 to 2026. Quoted with source.

Show the answer

905

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator aime/1989/p13 · Tag RFVSF1V2ZS · Edit this page on GitHub · Keys: j next, k previous