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seen Sep 8 '12 at 10:19

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Mar
15
revised How can we show that $\pi (x+y) - \pi(y) \le \frac{1}{3} x + C$ using the sieve of eratosthenes?
added 1 characters in body
Mar
15
comment How can we show that $\pi (x+y) - \pi(y) \le \frac{1}{3} x + C$ using the sieve of eratosthenes?
Yea, exactly TonyK.
Mar
15
revised How can we show that $\pi (x+y) - \pi(y) \le \frac{1}{3} x + C$ using the sieve of eratosthenes?
deleted 114 characters in body
Mar
15
revised How can we show that $\pi (x+y) - \pi(y) \le \frac{1}{3} x + C$ using the sieve of eratosthenes?
edited title
Mar
15
accepted How to show $\pi (2n) \ge \log \binom{ 2n }{ n} / \log 2n$?
Mar
15
comment How to show $\pi (2n) \ge \log \binom{ 2n }{ n} / \log 2n$?
Thanks, anon. So $\log m = \sum_{p\le 2n} \log p ord_{p}m \le \sum_{p\le 2n} \frac{\log 2n}{\log p} \log p \le \sum_{p\le 2n} \log 2n = \pi(2n)\log 2n $ , right ?
Mar
15
accepted How can we show that $\operatorname{ord}_{p}\left(\binom{2n}n\right) \le \frac{\log 2n}{\log p}$
Mar
15
comment How can we show that $\operatorname{ord}_{p}\left(\binom{2n}n\right) \le \frac{\log 2n}{\log p}$
Thanks, Ragib Zaman.