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Number Theory Level 2

Find the number of positive integer pairs \((a,b)\) that satisfy the equation \(a^{2} + a + 1 = b^{2}\).

Now try the generalized version.

0 1 2 3 4 There are infinitely many solutions

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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 5 million people

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including olympiad champions, researchers, and professionals.

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by Brian Charlesworth

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