Question

Proving $\pi = 48\tan^{-1}\frac{1}{18} + 32 \tan^{-1}\frac{1}{57} - 20\tan^{-1}\frac{1}{239}$

score 817 · Answer 1 · 2018-06-28 03:34:20

817

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Proving $\pi = 48\tan^{-1}\frac{1}{18} + 32 \tan^{-1}\frac{1}{57} - 20\tan^{-1}\frac{1}{239}$

Published on 28 Jun 2018 - 3:34

score 195 · Answer 2 · 2018-06-29 11:18:36

195

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How Gelfond find his limit for $\exp(\pi) $?

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score 114 · Answer 3 · 2026-03-25 07:42:17

114

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Representation of $\pi$ using algebra and exp/log.

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score 530 · Answer 4 · 2018-07-12 15:44:17

530

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score 87 · Answer 5 · 2026-03-25 11:06:41

87

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Is this :$\int_{-1}^{1}\exp (-\tanh^{-1} (x))dx=\pi$ a well known integral representation for $\pi $?

Published on 25 Mar 2026 - 11:06

score 791 · Answer 6 · 2026-03-25 11:02:49

791

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Can you obtain $\pi$ using elements of $\mathbb{N}$, and finite number of basic arithmetic operations + exponentiation?

Published on 25 Mar 2026 - 11:02

score 1.2k · Answer 7 · 2018-08-02 08:13:15

1.2k

Views

Approximating pi rate of convergence

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score 168 · Answer 8 · 2018-08-05 18:14:29

168

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score 523 · Answer 9 · 2026-03-17 13:50:40

523

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score 99 · Answer 10 · 2026-03-25 06:05:39

99

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score 305 · Answer 11 · 2018-08-18 07:54:30

305

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Published on 18 Aug 2018 - 7:54

score 117 · Answer 12 · 2026-03-25 04:42:38

117

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What is the exact value of this : $5\int_{0}^{\infty}\exp(-x^2 \text{erf}(x))x^{\sin x+\frac12}dx$?

Published on 25 Mar 2026 - 4:42

score 196 · Answer 13 · 2026-03-25 10:57:06

196

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score 126 · Answer 14 · 2018-08-23 07:39:16

126

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Published on 23 Aug 2018 - 7:39

score 3.1k · Answer 15 · 2026-03-20 01:32:32

3.1k

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Is there a sufficiently reachable plausibility argument that $\pi$ is irrational?

Published on 20 Mar 2026 - 1:32

List Question

Proving $\pi = 48\tan^{-1}\frac{1}{18} + 32 \tan^{-1}\frac{1}{57} - 20\tan^{-1}\frac{1}{239}$

How Gelfond find his limit for $\exp(\pi) $?

Representation of $\pi$ using algebra and exp/log.

General P-series rule

Is this :$\int_{-1}^{1}\exp (-\tanh^{-1} (x))dx=\pi$ a well known integral representation for $\pi $?

Can you obtain $\pi$ using elements of $\mathbb{N}$, and finite number of basic arithmetic operations + exponentiation?

Approximating pi rate of convergence

Proving a formula for $\pi$

Showing $\pi$ is irrational using taylor's theorem

Is there any way to finitely represent all the information in pi?

How to find intersection of two and three sine waves on x axis intercept? (Biorhythms)

What is the exact value of this : $5\int_{0}^{\infty}\exp(-x^2 \text{erf}(x))x^{\sin x+\frac12}dx$?

Cardinality of number of digits

How to find the $\pi$?

Is there a sufficiently reachable plausibility argument that $\pi$ is irrational?

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