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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?

View solutions

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 6 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

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by Chung Kevin

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