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Jul 5, 2018 at 17:25 comment added Benjamin Dickman @ĐàoThanhOai At least one of the numbers in that list is divisible by a prime $\geq k+1$; but, every number in that list is $\leq 2k$. So the number divisible by a new prime is itself prime: if it had additional prime factors, it would exceed $2k$, which it does not.
Jul 5, 2018 at 16:53 comment added Đào Thanh Oai Can You help me why? "The theorem implies immediately that for any positive integer $k$, one of $k+1, k+2, \ldots, 2k$ is a prime (since one of these integers must be divisible by a prime $\geq k+1).$"
Aug 14, 2013 at 20:41 history edited Benjamin Dickman CC BY-SA 3.0
added link to new AMM article on Ramanujan's proof of Bertrand's Postulate
Sep 6, 2012 at 1:17 comment added Larry Freeman Here's an online link to the Sylvester paper: gdz.sub.uni-goettingen.de/dms/load/img/…
Aug 7, 2012 at 18:02 comment added Charles J. J. Sylvester. On arithmetical series. Messenger Math. 21 (1892), pp. 1-19, 87-120, 192. (See p. 4)
Aug 2, 2012 at 7:04 vote accept Larry Freeman
Aug 2, 2012 at 0:35 history answered Benjamin Dickman CC BY-SA 3.0