Question

Does this sum $(1-\frac{1}{2^2})^{(1-\frac{1}{3^2})^{...^{(1-\frac{1}{p^2})}}}$ also related to Riemann zeta function?

score 87 · Answer 1 · 2026-03-25 15:12:13

87

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Does this sum $(1-\frac{1}{2^2})^{(1-\frac{1}{3^2})^{...^{(1-\frac{1}{p^2})}}}$ also related to Riemann zeta function?

Published on 25 Mar 2026 - 15:12

score 118 · Answer 2 · 2020-03-12 13:49:23

118

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Ramanujan primes in short intervals

Published on 12 Mar 2020 - 13:49

score 43 · Answer 3 · 2020-03-17 07:44:46

43

Views

About the gap of consecutive prime numbers.

Published on 17 Mar 2020 - 7:44

score 38 · Answer 4 · 2020-03-18 15:24:41

38

Views

Inequality of the form $(R_{n+1})^{f(n)}<\prod_{k=1}^n R_k$, where $R_k$ is the $k$-th Ramanujan prime and $f(n)$ a suitable arithmetic function

Published on 18 Mar 2020 - 15:24

score 36 · Answer 5 · 2020-04-03 16:37:32

36

Views

On integers $n\geq 1$ for which $n$ divides $\sum_{k=1}^n R_k$, where $R_k$ denotes the $k$-th Ramanujan prime

Published on 03 Apr 2020 - 16:37

score 251 · Answer 6 · 2020-04-08 10:23:20

251

Views

Gap between two consecutive primes/.

Published on 08 Apr 2020 - 10:23

score 23 · Answer 7 · 2020-04-12 19:03:50

23

Views

Prime gaps of the form 2+6n are equally as numerous as those of the form 4+6n, and exactly half as numerous as those of the form 2+4n

Published on 12 Apr 2020 - 19:03

score 161 · Answer 8 · 2020-04-15 17:29:57

161

Views

Is the expected number of primes in a specific interval $[p_n^2,p_{n+1}^2]$ approximately $p_n$?

Published on 15 Apr 2020 - 17:29

score 51 · Answer 9 · 2020-04-20 07:37:53

51

Views

An inequality that involves consecutive primes, prime gaps and roots of prime numbers as a weak form of Firoozbakht's conjecture

Published on 20 Apr 2020 - 7:37

score 125 · Answer 10 · 2020-05-24 00:08:53

125

Views

Proof of prime in $(p,p^2)$?

Published on 24 May 2020 - 0:08

score 186 · Answer 11 · 2026-02-23 10:22:51

186

Views

Infinitely many Primes in Arithmetic progression $10n+9$

Published on 23 Feb 2026 - 10:22

score 166 · Answer 12 · 2020-06-02 09:14:16

166

Views

Understanding Sylvester' s $1871$ paper of primes in arithmetic progression of the forms $4n+3$ and $6n+5$

Published on 02 Jun 2020 - 9:14

score 198 · Answer 13 · 2026-03-25 11:10:20

198

Views

Infinite primes history

Published on 25 Mar 2026 - 11:10

score 84 · Answer 14 · 2020-06-03 22:12:20

84

Views

A claim regarding Perott's proof of infinitude of primes

Published on 03 Jun 2020 - 22:12

score 154 · Answer 15 · 2020-06-05 09:31:02

154

Views

L. Gegenbauer's proof of Infinitude of Primes

Published on 05 Jun 2020 - 9:31

List Question

Does this sum $(1-\frac{1}{2^2})^{(1-\frac{1}{3^2})^{...^{(1-\frac{1}{p^2})}}}$ also related to Riemann zeta function?

Ramanujan primes in short intervals

About the gap of consecutive prime numbers.

Inequality of the form $(R_{n+1})^{f(n)}<\prod_{k=1}^n R_k$, where $R_k$ is the $k$-th Ramanujan prime and $f(n)$ a suitable arithmetic function

On integers $n\geq 1$ for which $n$ divides $\sum_{k=1}^n R_k$, where $R_k$ denotes the $k$-th Ramanujan prime

Gap between two consecutive primes/.

Prime gaps of the form 2+6n are equally as numerous as those of the form 4+6n, and exactly half as numerous as those of the form 2+4n

Is the expected number of primes in a specific interval $[p_n^2,p_{n+1}^2]$ approximately $p_n$?

An inequality that involves consecutive primes, prime gaps and roots of prime numbers as a weak form of Firoozbakht's conjecture

Proof of prime in $(p,p^2)$?

Infinitely many Primes in Arithmetic progression $10n+9$

Understanding Sylvester' s $1871$ paper of primes in arithmetic progression of the forms $4n+3$ and $6n+5$

Infinite primes history

A claim regarding Perott's proof of infinitude of primes

L. Gegenbauer's proof of Infinitude of Primes

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