Finding Positive Integer Solutions for (2^n+1)/(n^2)

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The discussion focuses on finding positive integer solutions for the equation (2^n + 1)/(n^2) with n being an integer greater than one. The only identified solution is three, and a brute force program has been used to test values up to n=32000. Participants express uncertainty about how to approach solving the problem analytically. The origin of the question is unclear, as it was brought up by a friend from school. The problem is not related to homework but is a challenge the participants are attempting to solve.
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Find all positive integer answers for ((2^n)+1)/(n^2) where n is an integer greater then one.
The only answer i can find is three, i wrote a program to brute force it and have gotten up to n=32000 but as for going about solving it i have no clue.
 
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Where did this question orginate?
 
A friend from school broght it in... I have no clue where he got it from though.
 
Davewilliams said:
A friend from school broght it in... I have no clue where he got it from though.

Is it homework?
 
No, its just a problem we where trying to solve.
 

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