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 Jun 6 revised Can exceptionally large primes be used to get information on the roots of $\zeta$? deleted 1 characters in body; edited title Jun 6 asked Can exceptionally large primes be used to get information on the roots of $\zeta$? Jun 6 revised What is a “maximal” object? added 6 characters in body; edited title Jun 6 comment Two Representations of the Prime Counting Function Hi Greg, Raymond checked the derived formula for $\pi^*(x;4,3)$ and the result looks really nice. If you want, have a look... Jun 6 comment $\# \{\text{primes}\ 4n+3 \le x\}$ in terms of $\text{Li}(x)$ and roots of Dirichlet $L$-functions Raymond, thank you so much. I'm very happy that this (the formula) worked out that well. Thanks also for the PARI scripts. Just yesterday I tried to start with it and now you gave me such nice example to work with and to learn. Jun 5 reviewed Reopen How to express numbers between 1 and 1000 as a sum of consecutive integers in two different ways Jun 5 reviewed No Action Needed Nilpotent infinitesimals comparison Jun 5 asked Prove that the non-trivial root of $\sum_{k=1}^{2n} p_kx^k=0$ tends to $-1$ Jun 5 awarded Self-Learner Jun 5 revised Certain Sums of Conjugacy Class Sizes of Symmetric Groups added 17 characters in body Jun 5 comment Certain Sums of Conjugacy Class Sizes of Symmetric Groups @jack ok I think I got what you mean and:you are so right. I think I was a little mixed up back then... Jun 5 reviewed No Action Needed Find the legs of isosceles triangle, given only the base Jun 5 reviewed No Action Needed Sturm-liouville problem, first eigenvalue Jun 5 comment Certain Sums of Conjugacy Class Sizes of Symmetric Groups @jack, I see that my approach isn't as good as I thought. Gotta think about that: Isn't it the same problem as here: Making Change for a Dollar (and other number partitioning problems)? Ok I didn't use the reciprocal. Do I have to, to solve this problem? But I don't get what you mean by requiring identity... Jun 5 answered Definition of $\pi$, $\lim_{n \to \infty}{n \sin(180^o/n)}$ Jun 5 reviewed Approve Multiplying two summations together exactly. Jun 5 reviewed Looks OK Non-convergent ultrafilter on $[0,\infty)$ Jun 5 reviewed Reviewed Characters of double groups Jun 5 comment Find the largest number having this property. are you asking only for the case $n_\max=13$? BTW Question 1 is not a question... Jun 5 revised Find the largest number having this property. edited body