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A number theory problem by Syed Hamza Khalid

Number Theory Level 1

\(x\) and \(y\) are positive integers such that

\(2^{x}+1=y^{2}\).

What is \(y\)?

Try to use factorising to help you.

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 7 million people

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including olympiad champions, researchers, and professionals.

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by Syed Hamza Khalid

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