perplexus.info :: Just Math : Making integer an expression

Making integer an expression (Posted on 2009-03-20)

Find all positive integers n which make the expression below an integer:

(25/2 + (625/4 - n)^Н )^Н + (25/2 - (625/4 - n)^Н )^Н

Submitted by pcbouhid

Rating: 3.0000 (1 votes)

Solution: (Hide)

My initial solution, I admit, was n=144.

However I think that Steve gave a nice and inquestionable (or not?) approach here, finding an infinite number of positive integers.
Discussion opened to those who doesnТДt agree.

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

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2023-02-07 22:05:13
We're here because ...	ed bottemiller	2009-03-27 19:00:34
No imagination	Steve Herman	2009-03-27 00:07:21
re(3): Simplifying matters (Spoiler) (some thoughts)	Daniel	2009-03-25 19:06:29
re(2): Simplifying matters (Spoiler) (some thoughts)	Steve Herman	2009-03-25 11:05:03
re: Simplifying matters (Spoiler) (some thoughts)	Daniel	2009-03-24 14:36:47
Just the math	Steve Herman	2009-03-21 18:04:38
not gross enough	ed bottemiller	2009-03-20 16:31:00
computer solution	Charlie	2009-03-20 15:43:58
Imagination	Steve Herman	2009-03-20 15:04:29
solution	Jer	2009-03-20 13:22:09
Simplifying matters (Spoiler)	Steve Herman	2009-03-20 13:14:55
a solution	ed bottemiller	2009-03-20 11:37:14

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