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

  • Context: Undergrad 
  • Thread starter Thread starter Davewilliams
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Discussion Overview

The discussion revolves around finding positive integer solutions for the expression (2^n + 1) / (n^2) where n is an integer greater than one. The scope includes exploratory reasoning and problem-solving without a clear resolution.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • One participant claims to have found the only solution as three and mentions using a brute force program to check values up to n=32000.
  • Another participant inquires about the origin of the question.
  • A participant responds that the question was brought in by a friend from school but does not know its source.
  • There is a question raised about whether this is a homework problem, which is clarified as not being the case.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the solutions, and the discussion remains unresolved regarding the complete set of positive integer solutions.

Davewilliams
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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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