I am so sorry for misleading you. I needed to solve this problem, because it occurred to me whilst I was solving another one. Indeed, what I had written is not true. In such case, could you help me find all integers for which

i divisible by

?

Printable View

- Sep 21st 2011, 08:15 AMgollumDivisibility
I am so sorry for misleading you. I needed to solve this problem, because it occurred to me whilst I was solving another one. Indeed, what I had written is not true. In such case, could you help me find all integers for which

i divisible by

? - Sep 21st 2011, 10:18 AMOpalgRe: Divisibility
- Sep 21st 2011, 10:25 AMHallsofIvyRe: Divisibility
It is impossible to prove something that is NOT true! What reason do you have to believe that this statement is true?

- Sep 21st 2011, 11:25 AMgollumRe: Divisibility
Hi! I have already corrected the post.

- Sep 21st 2011, 12:03 PMOpalgRe: Divisibility
You could try to show that the ratio increases towards a limiting value 4. The ratio is equal to 3 when n=1. For n>1, it will lie between 3 and 4, so can never again be an integer.

- Sep 21st 2011, 12:33 PMgollumRe: Divisibility
Thanks, but how do I find maximum and minimum of a function like this - I mean it is exponential as well as rational.

- Sep 21st 2011, 11:40 PMOpalgRe: Divisibility
Probably the easiest approach is to write in the form . Then show that that fraction is positive and less than 1 when n>1.