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Powerful Sum? (Posted on 2007-06-23) Difficulty: 3 of 5
Is it ever the case that 2m+3m is a perfect power, whenever m is a positive prime number?

See The Solution Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

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re: No Subject | Comment 2 of 4 |
(In reply to No Subject by xdog)

Did you read the question properly? Obviously 2m+3m isn't a prime when m is prime. But the thing is that perfect power obviously can't be a prime either. I have to agree that the answer is most likely no but this doesn't really do for a solution.

Edited on June 28, 2007, 2:38 pm
  Posted by atheron on 2007-06-28 14:36:40

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