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Don't Try Small Cases

Number Theory Level 4

For what positive integer \(n\) is

\[ n^2 + 13n + 3 \]

a perfect square?

Bonus: Can you prove that the answer is unique?

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Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

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including olympiad champions, researchers, and professionals.

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by Chung Kevin

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