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Jul 13, 2010 at 12:44 comment added Charles @T: Absolutely. Mine is a very rough heuristic, based only on a very simple form of the PNT.
Jul 13, 2010 at 1:39 vote accept AgCl
Jul 12, 2010 at 21:48 comment added T.. ...and the Rosser and Schoenfeld estimates may be useful for such analyses.
Jul 12, 2010 at 21:47 comment added T.. Charles, the $n/log(n)$ could have been any asymptotically nearby density function, and using a different choice can raise the expected number of counterexamples. To get meaningful numbers out of this argument requires some analysis of the sensitivity to particular models of the prime distribution.
Jul 12, 2010 at 18:04 history answered Charles CC BY-SA 2.5