A number theory problem by Syed Hamza Khalid

Number Theory Level 1

x x and y y are positive integers such that

2 x + 1 = y 2 2^{x}+1=y^{2} .

What is y y ?

Try to use factorising to help you.


The answer is 3.

Syed Hamza Khalid by Syed Hamza Khalid , 17, France

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1 solution

7 Helpful 0 Interesting 0 Brilliant 0 Confused

Why can't the difference be 2^x-1?

A Former Brilliant Member - 4 years, 2 months ago

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I don't understand what you said

Syed Hamza Khalid - 4 years, 1 month ago

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