Question

Irrationality of $\log_2(2015)$

score 82 · Answer 1 · 2026-03-17 09:51:09

82

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Irrationality of $\log_2(2015)$

Published on 17 Mar 2026 - 9:51

score 64 · Answer 2 · 2026-03-17 08:26:44

64

Views

Find an equation where all 'y' is always irrational for all integer values of x

Published on 17 Mar 2026 - 8:26

score 411 · Answer 3 · 2026-03-17 07:37:48

411

Views

What is Euler doing?

Published on 17 Mar 2026 - 7:37

score 379 · Answer 4 · 2026-03-14 13:24:48

379

Views

Is there an essential difference between Cartwright's and Niven's proofs of the irrationality of $\pi$?

Published on 14 Mar 2026 - 13:24

score 195 · Answer 5 · 2026-03-21 06:31:57

195

Views

$\sqrt{\frac{\pi e}{2}}=\frac{1}{1+\mathrm{K}_{i=1}^{\infty}{\frac{i}{1}}}+\sum_{n=0}^{\infty}{\frac{1}{(2n+1)!!}}$ implies $\sqrt{\pi e/2}\notin Q$?

Published on 21 Mar 2026 - 6:31

score 81 · Answer 6 · 2026-03-17 19:12:22

81

Views

Rationality of circumference of an ellipsis with rational semi-axes

Published on 17 Mar 2026 - 19:12

score 250 · Answer 7 · 2026-03-17 16:14:07

250

Views

Rationality of the Gamma function

Published on 17 Mar 2026 - 16:14

score 240 · Answer 8 · 2026-03-17 14:14:35

240

Views

Can we find smallest positive $x$ such that $\pi^x$ is rational?

Published on 17 Mar 2026 - 14:14

score 103 · Answer 9 · 2026-03-17 11:32:49

103

Views

For the expression $\sqrt{\frac{x}{y}}$ to be rational, is it necessary for both to be squares?

Published on 17 Mar 2026 - 11:32

score 727 · Answer 10 · 2026-03-17 04:38:02

727

Views

Spivak Calculus 4-th Ed., Chapter 2, Exercise 13a, Understanding the proof of $\sqrt3$ being irrational.

Published on 17 Mar 2026 - 4:38

score 523 · Answer 11 · 2026-03-17 13:50:40

523

Views

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

Published on 17 Mar 2026 - 13:50

score 400 · Answer 12 · 2026-03-25 04:25:16

400

Views

Is this proof correct (Rationality of a number)?

Published on 25 Mar 2026 - 4:25

score 107 · Answer 13 · 2026-03-25 04:25:15

107

Views

Is there anything wrong with my interpretation of these exercices about Dedekind left set?

Published on 25 Mar 2026 - 4:25

score 3.3k · Answer 14 · 2026-03-25 04:19:10

3.3k

Views

Why is $\sum_{i=1}^n a$ always irrational if $n>0$ and $a$ is irrational?

Published on 25 Mar 2026 - 4:19

score 88 · Answer 15 · 2026-03-25 04:19:09

88

Views

If the slopes of bisectors are rational numbers, the slopes of sides are also rational numbers

Published on 25 Mar 2026 - 4:19

List Question

Irrationality of $\log_2(2015)$

Find an equation where all 'y' is always irrational for all integer values of x

What is Euler doing?

Is there an essential difference between Cartwright's and Niven's proofs of the irrationality of $\pi$?

$\sqrt{\frac{\pi e}{2}}=\frac{1}{1+\mathrm{K}_{i=1}^{\infty}{\frac{i}{1}}}+\sum_{n=0}^{\infty}{\frac{1}{(2n+1)!!}}$ implies $\sqrt{\pi e/2}\notin Q$?

Rationality of circumference of an ellipsis with rational semi-axes

Rationality of the Gamma function

Can we find smallest positive $x$ such that $\pi^x$ is rational?

For the expression $\sqrt{\frac{x}{y}}$ to be rational, is it necessary for both to be squares?

Spivak Calculus 4-th Ed., Chapter 2, Exercise 13a, Understanding the proof of $\sqrt3$ being irrational.

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

Is this proof correct (Rationality of a number)?

Is there anything wrong with my interpretation of these exercices about Dedekind left set?

Why is $\sum_{i=1}^n a$ always irrational if $n>0$ and $a$ is irrational?

If the slopes of bisectors are rational numbers, the slopes of sides are also rational numbers

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