1. ## Number bigger than...

Can we write the whole number integer bigger than ${2012}^{2012}$ like $x^2+y^3+z^6$ where x,y,z are the whole numbers integer

2. ## Re: Number bigger than...

Can we write the whole number integer bigger than ${2012}^{2012}$ like $x^2+y^3+z^6$ where x,y,z are the whole numbers integer
Let me be the first to say

What??

There are a large (infinite) number of integers bigger than $2012^{2012}$ that can be put into the required form. Can you quote the problem exactly?

-Dan

3. ## Re: Number bigger than...

We must inspect, does number of integers bigger than $2012^{2012}$ exist and can be put into the required form.

4. ## Re: Number bigger than...

We must inspect, does number of integers bigger than $2012^{2012}$ exist and can be put into the required form.
I think we're still missing the problem here. Taking this at face value we can easily say: let $x = y = z = 2012^{2012}$ fits the bill without any thought.

It's too easy. There must be something else to the problem?

-Dan

5. ## Re: Number bigger than...

Sorry, my mistake. We must inspect, does number of integers bigger than $2012^{2012}$ exist and can't be put into the required form

6. ## Re: Number bigger than...

So, have you got any idea, because I want do this exercise but I don't know how start