Proof of Bertrand's postulate - Wikipedia, the free encyclopedia

I don't understand why the product in red underline less than the product in the red box in the attachment.

For the definition of R(p,n) please see the link.

Thank you!

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- Jul 20th 2011, 01:09 PMAlso sprach ZarathustraA question regarding Bertrand's postulate (Erdős proof)...
Proof of Bertrand's postulate - Wikipedia, the free encyclopedia

I don't understand why the product in red underline less than the product in the red box in the attachment.

For the definition of R(p,n) please see the link.

Thank you! - Jul 20th 2011, 01:32 PMAlso sprach ZarathustraRe: A question regarding Bertrand's postulate (Erdős proof)...
Think I got it...

Lemma 3 insures it. If $\displaystyle p>\sqrt{2n}$ then $\displaystyle R(p,n)$ is 1 or 0.

Right?