Add to a Square Number
|Fun:|| (1.81) |
|Difficulty:|| (2.82) |
A, B and C are positive integers such that 3^A+5^B+7^C is a square number.
What is the minimum value of this square number?
Comments on this teaser
|Posted by jhosek||04/21/11|
|figured it out by trial and error but wondering if there is an explanation or mathematical formula that leads to the answer.|
|Posted by Karnage1993||07/24/11|
|Yes I too am wondering if there is a mathematical way to do this. I tried finding the derivative of the equation to get the minimum value that it would produce but (3^a)(ln3) + (5^b)(ln5) + (7^c)(ln7) never equals 0. Is this question truly guess and check? :(|
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