Question

How to calculate the $n$ prime from $\pi (n)$?

score 611 · Answer 1 · 2015-09-04 16:55:11

611

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How to calculate the $n$ prime from $\pi (n)$?

Published on 04 Sep 2015 - 16:55

score 67 · Answer 2 · 2015-09-05 09:38:09

67

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For any integer $n>0$ there is always a prime $p$ with $q_n\leq{p}\leq{3n}$ or $3n\leq{p}\leq{q_n}$ , where $q_n$ is the $n$-th prime.

Published on 05 Sep 2015 - 9:38

score 196 · Answer 3 · 2015-09-07 11:39:54

196

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Least number $k>11$, such that $k+n$ is prime for $n=0,2,6,8,12,18,20,26,30,32$

Published on 07 Sep 2015 - 11:39

score 137 · Answer 4 · 2015-09-09 16:27:35

137

Views

Large prime gap between $10^{4999}-20777$ to $10^{4999}+22669$?

Published on 09 Sep 2015 - 16:27

score 78 · Answer 5 · 2015-09-10 10:00:44

78

Views

Consecutive prime gaps with equal length, always a multiple of 6 (for $n \gt 3$)?

Published on 10 Sep 2015 - 10:00

score 105 · Answer 6 · 2015-09-10 20:04:16

105

Views

Does $\sum_{n=1}^\infty \frac{1}{p_ng_n}$ diverge?

Published on 10 Sep 2015 - 20:04

score 96 · Answer 7 · 2015-09-11 19:16:05

96

Views

Does $\sum_{n=1}^\infty \frac{n}{{p_n}^{g_n}}$ converge?

Published on 11 Sep 2015 - 19:16

score 146 · Answer 8 · 2015-09-19 23:37:52

146

Views

Is there only a finite amount of primes that differ by $2k \in \mathbb N$?

Published on 19 Sep 2015 - 23:37

score 141 · Answer 9 · 2015-10-20 02:14:50

141

Views

Is the square of a prime necessarily larger than the next prime?

Published on 20 Oct 2015 - 2:14

score 156 · Answer 10 · 2026-03-20 15:27:37

156

Views

Convergence of a sum related to prime gaps

Published on 20 Mar 2026 - 15:27

score 137 · Answer 11 · 2015-10-25 02:26:33

137

Views

For any prime $p$, is there always at least one prime between $p$ and $2p$?

Published on 25 Oct 2015 - 2:26

score 224 · Answer 12 · 2026-03-25 22:39:14

224

Views

Maximal Prime Gap

Published on 25 Mar 2026 - 22:39

score 729 · Answer 13 · 2015-10-29 02:59:18

729

Views

Looking for alternatives to the brute force algorithm for identifying the largest prime gaps

Published on 29 Oct 2015 - 2:59

score 249 · Answer 14 · 2015-11-19 10:59:48

249

Views

Are there two consecutive gaps of size $4$ between prime numbers?

Published on 19 Nov 2015 - 10:59

score 252 · Answer 15 · 2026-02-24 12:56:17

252

Views

Generate prime of x decimal digits using bit-oriented prime generator

Published on 24 Feb 2026 - 12:56

List Question

How to calculate the $n$ prime from $\pi (n)$?

For any integer $n>0$ there is always a prime $p$ with $q_n\leq{p}\leq{3n}$ or $3n\leq{p}\leq{q_n}$ , where $q_n$ is the $n$-th prime.

Least number $k>11$, such that $k+n$ is prime for $n=0,2,6,8,12,18,20,26,30,32$

Large prime gap between $10^{4999}-20777$ to $10^{4999}+22669$?

Consecutive prime gaps with equal length, always a multiple of 6 (for $n \gt 3$)?

Does $\sum_{n=1}^\infty \frac{1}{p_ng_n}$ diverge?

Does $\sum_{n=1}^\infty \frac{n}{{p_n}^{g_n}}$ converge?

Is there only a finite amount of primes that differ by $2k \in \mathbb N$?

Is the square of a prime necessarily larger than the next prime?

Convergence of a sum related to prime gaps

For any prime $p$, is there always at least one prime between $p$ and $2p$?

Maximal Prime Gap

Looking for alternatives to the brute force algorithm for identifying the largest prime gaps

Are there two consecutive gaps of size $4$ between prime numbers?

Generate prime of x decimal digits using bit-oriented prime generator

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