List questions from distribution-of-primes

Published on 07 Aug 2018 - 20:53

51

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Is there public access to a paper, in which the first $k$-tuple conjecture was proposed?

Published on 23 Feb 2026 - 0:49

149

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What fraction of primes are $3 (mod 4)$?

Published on 13 Sep 2018 - 5:08

189

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Optimal sinusoidal Erathostenes' Sieve

Published on 26 Sep 2018 - 6:08

606

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Targeting all prime numbers with a minimal set of sinusoidal functions

Published on 27 Sep 2018 - 4:51

541

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Can the exact number of twin primes $\leq n$ be proved using a "twin-prime zeta function"?

Published on 05 Oct 2018 - 13:23

51

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How this:$\int_{0}^{+\infty} \sin \frac{\pi(1-x)}{2}dx=0 $ with $\pi(x)$ is counting prime function?

Published on 24 Nov 2018 - 13:54

211

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Is there an anomaly in the distribution of Mersenne primes?

Published on 22 Feb 2026 - 23:10

117

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Are there infinitely many primes of the form $k\cdot 2^n+1$ for a fixed $n$ and odd $k$

Published on 29 Dec 2018 - 23:06

1.1k

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Primes congruent to a mod n.

Published on 18 Jan 2019 - 1:55

122

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Confusion: Proof of Bertrand's Postulate, Primorial function upper bound

Published on 01 Feb 2019 - 1:12

93

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prime number counting assuming RH: exact or not?

Published on 09 Feb 2019 - 8:58

203

Views

How to show that there are infinitely many prime numbers $p$ such that the polynomial f has a zero in $\mathbb Z_p$?

Published on 12 Feb 2019 - 18:26

33

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On particular sets of primes

Published on 22 Mar 2019 - 14:50

345

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Let $s_n$ denote the sum of the first $n$ primes. Prove that for each $n$ there exists an integer whose square lies between $s_n$ and $s_{n+1}$.

Published on 10 Apr 2019 - 8:05

List Question

The definition of a prime constellation

Is there public access to a paper, in which the first $k$-tuple conjecture was proposed?

What fraction of primes are $3 (mod 4)$?

Optimal sinusoidal Erathostenes' Sieve

Targeting all prime numbers with a minimal set of sinusoidal functions

Can the exact number of twin primes $\leq n$ be proved using a "twin-prime zeta function"?

How this:$\int_{0}^{+\infty} \sin \frac{\pi(1-x)}{2}dx=0 $ with $\pi(x)$ is counting prime function?

Is there an anomaly in the distribution of Mersenne primes?

Are there infinitely many primes of the form $k\cdot 2^n+1$ for a fixed $n$ and odd $k$

Primes congruent to a mod n.

Confusion: Proof of Bertrand's Postulate, Primorial function upper bound

prime number counting assuming RH: exact or not?

How to show that there are infinitely many prime numbers $p$ such that the polynomial f has a zero in $\mathbb Z_p$?

On particular sets of primes

Let $s_n$ denote the sum of the first $n$ primes. Prove that for each $n$ there exists an integer whose square lies between $s_n$ and $s_{n+1}$.

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