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 88 · Answer 1 · 2026-05-10 15:48:03

88

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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 10 May 2026 - 15:48

score 119 · Answer 2 · 2026-03-25 20:08:37

119

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Ramanujan primes in short intervals

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score 44 · Answer 3 · 2026-03-25 20:09:35

44

Views

About the gap of consecutive prime numbers.

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score 39 · Answer 4 · 2026-03-25 20:12:43

39

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

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score 37 · Answer 5 · 2026-03-25 20:11:54

37

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

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score 252 · Answer 6 · 2026-03-25 20:09:29

252

Views

Gap between two consecutive primes/.

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score 24 · Answer 7 · 2026-03-25 20:12:41

24

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 25 Mar 2026 - 20:12

score 162 · Answer 8 · 2026-03-25 20:12:01

162

Views

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

Published on 25 Mar 2026 - 20:12

score 52 · Answer 9 · 2026-03-25 20:11:55

52

Views

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

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score 126 · Answer 10 · 2026-03-25 20:15:17

126

Views

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

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score 187 · Answer 11 · 2026-04-09 13:34:09

187

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score 167 · Answer 12 · 2026-03-25 20:11:56

167

Views

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

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score 201 · Answer 13 · 2026-05-10 18:22:57

201

Views

Infinite primes history

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score 85 · Answer 14 · 2026-03-25 20:14:17

85

Views

A claim regarding Perott's proof of infinitude of primes

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score 155 · Answer 15 · 2026-03-25 20:14:16

155

Views

L. Gegenbauer's proof of Infinitude of Primes

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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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