perplexus.info :: Just Math : Power Sum Poser

Power Sum Poser (Posted on 2014-12-16)

Given that each of A, B and C is a positive integer greater than 1 - find the total count of positive integers between 1925 and 2025 inclusively that can be expressed in the form A^B+B^C.

For how many of the above representations do A+B+C equal a perfect square?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

There are precisely 13 representation of such numbers.
Of the above representations, only two- that is: (A,B,C)=(38,2,9), and (44,2,3) is A+B+C a perfect square.
For an explanation, refer to the solution submitted by Charlie in this location.

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

Subject	Author	Date
full(or not solution	Ady TZIDON	2014-12-16 15:27:10
computer solution	Charlie	2014-12-16 15:22:16

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