Can we write the whole number integer bigger than $\displaystyle {2012}^{2012}$ like $\displaystyle x^2+y^3+z^6$ where x,y,z are the whole numbers integer
Can we write the whole number integer bigger than $\displaystyle {2012}^{2012}$ like $\displaystyle x^2+y^3+z^6$ 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 $\displaystyle 2012^{2012}$ that can be put into the required form. Can you quote the problem exactly?
We must inspect, does number of integers bigger than $\displaystyle 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 $\displaystyle x = y = z = 2012^{2012}$ fits the bill without any thought.
It's too easy. There must be something else to the problem?