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Feb
24
revised $k$-tuple conjecture.
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Feb
24
revised $k$-tuple conjecture.
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Feb
21
comment $k$-tuple conjecture.
Deleted my answer, since I don't understand the question beyond the very basic example you gave. The gist of my answer was that I don't think your observations lead to new theorems about primes on short intervals, which is really just a comment.
Feb
21
answered $k$-tuple conjecture.
Feb
19
revised About $\pi(x)<li(x)-\frac{1}{3}\frac{\sqrt{x}}{\log(x)}\log(\log(\log(x)))$
added 88 characters in body
Feb
19
revised About $\pi(x)<li(x)-\frac{1}{3}\frac{\sqrt{x}}{\log(x)}\log(\log(\log(x)))$
added 195 characters in body
Feb
19
answered About $\pi(x)<li(x)-\frac{1}{3}\frac{\sqrt{x}}{\log(x)}\log(\log(\log(x)))$
Feb
18
comment $k$-tuple conjecture.
Let us continue this discussion in chat.
Feb
16
revised Understanding the proof behind $\pi(x) \ge \frac{\log 2}{2}\frac{x}{\log x}$
deleted 7 characters in body
Feb
16
answered Understanding the proof behind $\pi(x) \ge \frac{\log 2}{2}\frac{x}{\log x}$
Feb
16
comment Curve profile for the logarithm-integral sum term of Riemann explicit formula?
@al-Hwarizmi: added a couple of lines in response to your comment. Continuing the process in the answer does not yield a closed form so I don't think there is much to be done with this. It's not a simple function.
Feb
14
revised Curve profile for the logarithm-integral sum term of Riemann explicit formula?
added 702 characters in body
Feb
13
revised Curve profile for the logarithm-integral sum term of Riemann explicit formula?
deleted 204 characters in body
Feb
13
revised Curve profile for the logarithm-integral sum term of Riemann explicit formula?
added 81 characters in body
Feb
13
comment Why does $\sum\limits_{k=1}^\infty \lfloor m/(n^k)\rfloor$ give you the number of times that $n$ divides $m!$?
@Andrea: You could make simplifications that I think would make the inequality true but they might depend on results that are also open questions. Even if you cannot prove the last inequality the question is a good model of a reasonable approach to something like this.
Feb
13
revised Curve profile for the logarithm-integral sum term of Riemann explicit formula?
deleted 145 characters in body
Feb
13
revised Curve profile for the logarithm-integral sum term of Riemann explicit formula?
deleted 145 characters in body
Feb
13
revised Curve profile for the logarithm-integral sum term of Riemann explicit formula?
added 141 characters in body
Feb
13
answered Curve profile for the logarithm-integral sum term of Riemann explicit formula?
Feb
12
comment Why does $\sum\limits_{k=1}^\infty \lfloor m/(n^k)\rfloor$ give you the number of times that $n$ divides $m!$?
@Andrea: Your question about Legendre was well thought-out and IMO very good. I hope you will consider un-deleting. The inequality is difficult but I think it is true (maybe) and well worth thinking about. Sorry for the off-topic comment.