# Number bigger than...

• November 18th 2012, 12:17 AM
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
• November 18th 2012, 02:18 AM
topsquark
Re: Number bigger than...
Quote:

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

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
• November 19th 2012, 12:18 PM
Re: Number bigger than...
We must inspect, does number of integers bigger than $2012^{2012}$ exist and can be put into the required form.
• November 19th 2012, 01:06 PM
topsquark
Re: Number bigger than...
Quote:

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
• November 23rd 2012, 02:32 AM
Sorry, my mistake. We must inspect, does number of integers bigger than $2012^{2012}$ exist and can't be put into the required form