List questions from distribution-of-primes

Published on 31 Oct 2016 - 12:19

56

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Conjecture: If $a_k-k \pi(a_k)=0$ then $a_{k+1}/a_{k} \to e$.

Published on 08 Nov 2016 - 18:26

101

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Lower bound on sum of reciprocal primes

Published on 09 Nov 2016 - 21:05

46

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How to prove this inequality about primes?

Published on 16 Nov 2016 - 0:01

45

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Estimating the next prime in a random sequence

Published on 31 Dec 2016 - 2:52

104

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About an error term in Prime Counting Function

Published on 23 Jan 2017 - 14:05

446

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The famous prime race and generalizations

Published on 20 Mar 2017 - 21:47

57

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Subsets of primes with unevenly distributed remainders mod 4

Published on 07 Apr 2017 - 17:23

205

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The Density of Primes

Published on 12 Feb 2023 - 20:04

183

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Stronger result than bertrand's postulate

Published on 01 Mar 2023 - 1:03

149

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Asymptotics for $g(n) = \sum_{k = 1}^{n - 1} {\frac{{\log (1 + p_k)}}{p_k}}$?

Published on 26 Mar 2023 - 13:33

262

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Why do number theorists care so much about how well $\text{Li}(x)$ approximates $\pi(x)$ if it's not our best approximation?

Published on 17 May 2023 - 20:04

174

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Why is the Riemann explicit formula for primes (via the Riemann Hypothesis) any better than existing formulae?

Published on 18 May 2023 - 0:24

82

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What is the order of $\mathrm{Z}(x)-\pi(x)?$

Published on 08 Sep 2023 - 21:36

66

Views

Approximating the logarithms of primes elegantly

Published on 28 Sep 2023 - 0:24

List Question

Possible Riemann's Hypothesis proof?

Conjecture: If $a_k-k \pi(a_k)=0$ then $a_{k+1}/a_{k} \to e$.

Lower bound on sum of reciprocal primes

How to prove this inequality about primes?

Estimating the next prime in a random sequence

About an error term in Prime Counting Function

The famous prime race and generalizations

Subsets of primes with unevenly distributed remainders mod 4

The Density of Primes

Stronger result than bertrand's postulate

Asymptotics for $g(n) = \sum_{k = 1}^{n - 1} {\frac{{\log (1 + p_k)}}{p_k}}$?

Why do number theorists care so much about how well $\text{Li}(x)$ approximates $\pi(x)$ if it's not our best approximation?

Why is the Riemann explicit formula for primes (via the Riemann Hypothesis) any better than existing formulae?

What is the order of $\mathrm{Z}(x)-\pi(x)?$

Approximating the logarithms of primes elegantly

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