Question

$\prod_{i: \text{prime}}\left(1-\frac{1}{i^2}\right) = \frac{6}{{\pi}^2}$

score 73 · Answer 1 · 2026-04-17 13:40:12

73

Views

$\prod_{i: \text{prime}}\left(1-\frac{1}{i^2}\right) = \frac{6}{{\pi}^2}$

Published on 17 Apr 2026 - 13:40

score 339 · Answer 2 · 2026-04-15 04:22:53

339

Views

Calculate $\lim _{n\to \infty }\left(\frac{e^nn!}{n^n}\right)$

Published on 15 Apr 2026 - 4:22

score 137 · Answer 3 · 2026-04-15 07:38:59

137

Views

Closed form of the power series of $\sum_{n=0}^{\infty} \sin(n)\,x^n$ (Mathematica)

Published on 15 Apr 2026 - 7:38

score 124 · Answer 4 · 2026-04-12 01:32:46

124

Views

Partial Sum Inequality

Published on 12 Apr 2026 - 1:32

score 115 · Answer 5 · 2026-04-16 04:44:33

115

Views

Closed form for the series $\sum^{\infty}_{x=2}\frac{1}{x!-1}$ and related ones

Published on 16 Apr 2026 - 4:44

score 374 · Answer 6 · 2026-04-11 02:32:11

374

Views

Property of a recursive integer sequence

Published on 11 Apr 2026 - 2:32

score 144 · Answer 7 · 2026-04-24 07:44:19

144

Views

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Published on 24 Apr 2026 - 7:44

score 112 · Answer 8 · 2026-04-14 09:11:12

112

Views

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Published on 14 Apr 2026 - 9:11

score 95 · Answer 9 · 2026-04-14 06:24:34

95

Views

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Published on 14 Apr 2026 - 6:24

score 99 · Answer 10 · 2026-04-11 03:19:12

99

Views

Can I calculate the product over the primes efficiently and with high precision?

Published on 11 Apr 2026 - 3:19

score 180 · Answer 11 · 2026-04-17 00:33:34

180

Views

Evaluate or express as a series $\int_0^1\int_0^1\int_0^1\frac{\log((x+z)(y+z))}{1+xyz}dxdydz$

Published on 17 Apr 2026 - 0:33

score 226 · Answer 12 · 2026-04-17 01:13:40

226

Views

On the equation involving the sum of divisors function $\sigma(105n+\sigma(n))=108\sigma(n)$

Published on 17 Apr 2026 - 1:13

score 152 · Answer 13 · 2026-04-24 11:15:22

152

Views

How to calculate limit for Raabe's test of $\sum_{n=1}^\infty a_n$ where $a_1=1, a_n=\sin a_{n-1}$?

Published on 24 Apr 2026 - 11:15

score 223 · Answer 14 · 2026-03-26 01:34:44

223

Views

Establishing properties of a complicated finite sum

Published on 26 Mar 2026 - 1:34

score 86 · Answer 15 · 2026-04-17 09:57:41

86

Views

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Published on 17 Apr 2026 - 9:57

List Question

$\prod_{i: \text{prime}}\left(1-\frac{1}{i^2}\right) = \frac{6}{{\pi}^2}$

Calculate $\lim _{n\to \infty }\left(\frac{e^nn!}{n^n}\right)$

Closed form of the power series of $\sum_{n=0}^{\infty} \sin(n)\,x^n$ (Mathematica)

Partial Sum Inequality

Closed form for the series $\sum^{\infty}_{x=2}\frac{1}{x!-1}$ and related ones

Property of a recursive integer sequence

A conditionally convergent complex series can be rearranged to be divergent

A conjectured vanishing sum involving the Thue–Morse sequence

Alternating series whose partial sums changes

Can I calculate the product over the primes efficiently and with high precision?

Evaluate or express as a series $\int_0^1\int_0^1\int_0^1\frac{\log((x+z)(y+z))}{1+xyz}dxdydz$

On the equation involving the sum of divisors function $\sigma(105n+\sigma(n))=108\sigma(n)$

How to calculate limit for Raabe's test of $\sum_{n=1}^\infty a_n$ where $a_1=1, a_n=\sin a_{n-1}$?

Establishing properties of a complicated finite sum

Series with a recursive sequence? converges or diverges?

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