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7h
comment Primality of the number of obtained by concatenating the n consecutive digits
@DanaJ: You may consider submitting your calculations to the OEIS @ oeis.org/A007908 -- either now or when you hit the next 'natural' boundary.
12h
revised Primality of the number of obtained by concatenating the n consecutive digits
final expansion
1d
comment Integral of Reciprocal Of Polynomial Always $0$?
I imagine the zeros are constrained to have $|z|<r.$
1d
revised Firoozbakht's conjecture solution?
add aside
1d
answered Is 1/113 a rational number?
1d
answered Are we only knowing prime counting function's property but not its infinite expansion?
1d
answered Why there are no other known Fermat primes.
1d
answered Concerning types of square-free numbers and comparing sizes of their subsets.
1d
answered Firoozbakht's conjecture solution?
Apr
14
comment If Cramér's is proved?
Many statements are equivalent to RH, the one with Re(s) = 1/2 is the usual one. Yes, the error of RH in the $\pi(x)$ version is much greater than the Cramér error.
Apr
14
comment If Cramér's is proved?
@user160140: There is an inverse of Li, at least on the real numbers greater than (say) 2. And $O(\sqrt x\log x)<O((\log x)^2)$ is certainly false. So no, I don't agree. On the other hand there is a version (the usual version) of RH which is about the zeros of $\zeta(s)$, in particular that if $s$ is not purely real then $\zeta(s)=0\Rightarrow\Re(s)=1/2.$
Apr
13
comment If Cramér's is proved?
@user160140: I can't make sense of what you wrote. Certainly $O(\sqrt x\log x)$ can be much, much bigger than $O((\log x)^2)$, and I didn't say anything about $i$ or the inverse of Li.
Apr
13
comment If Cramér's is proved?
@user160140: Yes. The primes must be within $O(\sqrt x\log x)$ of Li(x) and the gaps, consequently, can't be larger than $O(\sqrt x\log x)$.
Apr
13
comment If Cramér's is proved?
@user160140: RH does imply somewhat short gaps between primes, but it requires that they are in a certain place (with regard to Li). Cramér says that the gaps are very short but doesn't care where they are. So although related, they're not obviously implicational. Of course the biggest piece of information is simply that, if such a result were known, it would be famous enough that I would know it. :)
Apr
13
answered Dirichlet prime counting function?
Apr
12
answered If Cramér's is proved?
Apr
12
answered infinitely descending natural numbers
Apr
11
revised Primality of the number of obtained by concatenating the n consecutive digits
more checking
Apr
10
answered Primality of the number of obtained by concatenating the n consecutive digits
Apr
8
comment Computational Maths
The exponent is 1 bit long. What is the largest number you can store in 1 bit?