List questions from pi

Published on 03 Apr 2020 - 9:50

63

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Conjecture about a famous trigonometric integral

Published on 08 Apr 2020 - 9:52

270

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Continued fraction of $π$ using sums of cubes

Published on 26 Mar 2026 - 21:25

140

Views

Nice integral $\int_{0}^{\infty}\ln\Big(\frac{x^3-x^2-x+1}{x^3+x^2+x+1}\Big)\frac{1}{x}dx=-\frac{3\pi^2}{4}$

Published on 27 Mar 2026 - 13:20

76

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A class of generalized Integrals involving polygamma functions

Published on 25 Mar 2026 - 17:52

154

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Succinct proof that $\frac\pi4+\frac\pi6+\log2\gt2$

Published on 17 Apr 2020 - 6:50

52

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Floor, ceil problem

Published on 17 Apr 2020 - 19:10

116

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Is it true that $[\pi^n] $ is a prime number for only finitely many integers $n$?

Published on 26 Mar 2026 - 14:21

212

Views

prove that $\int_{0}^{1}\Big(\frac{\operatorname{li}(x)}{x}\Big)^2dx= \frac{\pi^2}{6}$

Published on 26 Mar 2026 - 13:02

53

Views

Is it possible :$\pi \sim{\frac{-\gamma}{(\sqrt{2}e^2-\gamma)^4}}-e^{-13}+2(17^{\frac13}-1)-2\phi^{-16}-\sum_{n=1}^{\infty}(\frac{1}{17})^{2n+3}$?

Published on 20 Apr 2020 - 22:23

879

Views

Why are mathematicians still trying to calculate digits of pi?

Published on 21 Apr 2020 - 3:12

61

Views

Identify this derivation of PI

Published on 22 Apr 2020 - 4:28

140

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Does this infinite nested radical show that $\pi$ is irrational?

Published on 22 Apr 2020 - 17:59

92

Views

Value of π*φ and π/φ

Published on 25 Mar 2026 - 18:55

66

Views

Prove that $(\frac{\pi}{3})^{\frac{3}{\pi}}+(\frac{3}{\pi})<2$

Published on 24 Apr 2020 - 13:45

List Question

Proof that $\pi =\lim_{n\to\infty}\frac{2^{4n}n!^4}{n(2n)!^2}$

Conjecture about a famous trigonometric integral

Continued fraction of $π$ using sums of cubes

Nice integral $\int_{0}^{\infty}\ln\Big(\frac{x^3-x^2-x+1}{x^3+x^2+x+1}\Big)\frac{1}{x}dx=-\frac{3\pi^2}{4}$

A class of generalized Integrals involving polygamma functions

Succinct proof that $\frac\pi4+\frac\pi6+\log2\gt2$

Floor, ceil problem

Is it true that $[\pi^n] $ is a prime number for only finitely many integers $n$?

prove that $\int_{0}^{1}\Big(\frac{\operatorname{li}(x)}{x}\Big)^2dx= \frac{\pi^2}{6}$

Is it possible :$\pi \sim{\frac{-\gamma}{(\sqrt{2}e^2-\gamma)^4}}-e^{-13}+2(17^{\frac13}-1)-2\phi^{-16}-\sum_{n=1}^{\infty}(\frac{1}{17})^{2n+3}$?

Why are mathematicians still trying to calculate digits of pi?

Identify this derivation of PI

Does this infinite nested radical show that $\pi$ is irrational?

Value of π*φ and π/φ

Prove that $(\frac{\pi}{3})^{\frac{3}{\pi}}+(\frac{3}{\pi})<2$

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