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

• October 5th 2012, 07:37 PM
nerdinator2
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.
• October 5th 2012, 09:10 PM
chiro
Re: Prove that Spec√2 contains infinitely many powers of 2.
Hey nerdinator2.

What do the L and J refer to?
• October 6th 2012, 08:13 AM
Plato
Re: Prove that Spec√2 contains infinitely many powers of 2.
Quote:

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.