perplexus.info :: Just Math : Sum Prime Power

Sum Prime Power (Posted on 2010-12-14)

Each of A and N is a positive integer, and P is a prime number that satisfy this equation:

2^P + 3^P = A^N

Can N exceed 1?

If so, give an example. If not, prove that no positive integer greater than 1 is possible.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

N cannot exceed 1.
For an explanation, refer to the solution submitted by broll in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	Possible Solution	broll	2010-12-14 15:08:55

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