# Math Help - Prove that Spec√2 contains infinitely many powers of 2.

1. ## Prove that Spec√2 contains infinitely many powers of 2.

Prove that Spec√2 contains infinitely many powers of 2.

Spec√2 = {⌊k√2⌋:k≥0}

I have no idea of how I can prove the statement in the question.

2. ## Re: Prove that Spec√2 contains infinitely many powers of 2.

Hey nerdinator2.

What do the L and J refer to?

3. ## Re: Prove that Spec√2 contains infinitely many powers of 2.

Originally Posted by chiro
Hey nerdinator2.
What do the L and J refer to?
I think it is the floor function: $\left\lfloor {k\sqrt 2 :k \ge 0} \right\rfloor$.

Although, I don't really follow the question.