Timeline for logarithmic integral question
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4 events
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| Feb 16, 2015 at 23:23 | comment | added | John Nicholson | When I was working with the tags, none were allowing logarithmic integral, logarithmic, and integral, so I am sorry about the tags. But, the question comes from $\pi(x * x^\theta) - \pi(x) \ge 1 \text{ for }x \ge 2\text{ with }\theta = \frac{1}{\pi(x)}$ and the note. I am not in the position (no program like Mathematica) to test this "conjecture" out that it is similar to Firoozbakht's conjecture. With that being said, I have not done the same with $x/\log x$ or x/(\log x-1). | |
| Feb 15, 2015 at 22:39 | comment | added | Gerry Myerson | I don't think this is a question about prime numbers. I suspect a more relevant fact about the logarithmic integral is that it is asymptotically $x/\log x$. Have you tried working out what happens when you replace the logarithmic integral in your question with $x/\log x$? | |
| Feb 15, 2015 at 14:51 | comment | added | Emil Jeřábek | Cross-posted at math.stackexchange.com/questions/1148587 . | |
| Feb 15, 2015 at 14:21 | history | asked | John Nicholson | CC BY-SA 3.0 |