Question

Does every irrational number contain arbitrarily long sequences of some digit?

score 1.3k · Answer 1 · 2026-03-31 07:13:12

1.3k

Views

Does every irrational number contain arbitrarily long sequences of some digit?

Published on 31 Mar 2026 - 7:13

score 119 · Answer 2 · 2026-03-31 07:07:14

119

Views

Sequences of consecutive digits of arbitrary length in irrational ternary numbers (take two).

Published on 31 Mar 2026 - 7:07

score 9.4k · Answer 3 · 2026-03-26 19:00:59

9.4k

Views

Is the sum of two rationals or two irrationals irrational?

Published on 26 Mar 2026 - 19:00

score 126 · Answer 4 · 2015-09-06 21:56:13

126

Views

Prove or give a counterexample If $a \in \Bbb R$\ $\Bbb Q$ exists $n \in \Bbb N$ such that $a^n \in \Bbb Q$

Published on 06 Sep 2015 - 21:56

score 36 · Answer 5 · 2015-09-07 07:48:36

36

Views

Determine the field properties that are satisfied by B, Is B a field?

Published on 07 Sep 2015 - 7:48

score 150 · Answer 6 · 2015-09-09 16:28:49

150

Views

a dense set in (0,1)

Published on 09 Sep 2015 - 16:28

score 159 · Answer 7 · 2015-09-11 15:21:15

159

Views

Does the series $ \sum_k^\infty \frac{k!}{k^k}$ converge to an irrational number and does it have any significance or applications?

Published on 11 Sep 2015 - 15:21

score 253 · Answer 8 · 2026-03-27 00:10:04

253

Views

Bijection between the set of irrational numbers from 0 to 1 and the set of infinite integers? (Actually, 10-adic integers)

Published on 27 Mar 2026 - 0:10

score 999 · Answer 9 · 2026-03-29 22:34:44

999

Views

Why is $\pi$ irrational?

Published on 29 Mar 2026 - 22:34

score 470 · Answer 10 · 2026-03-26 19:05:24

470

Views

Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?

Published on 26 Mar 2026 - 19:05

score 656 · Answer 11 · 2015-09-13 11:10:17

656

Views

Calculate power of irrational number modulo of integer

Published on 13 Sep 2015 - 11:10

score 335 · Answer 12 · 2015-09-15 16:02:54

335

Views

Limit points of particular sets of real numbers.

Published on 15 Sep 2015 - 16:02

score 233 · Answer 13 · 2015-09-15 16:19:20

233

Views

Another conditionl leading to irrationality of $\sum _{k=1}^ \infty \dfrac 1{n_k}$?

Published on 15 Sep 2015 - 16:19

score 117 · Answer 14 · 2015-09-15 23:55:33

Prove that for any natural number $3\leq n$ and rational number t, such that $0<t<1$ , $(t^{n}+1)^{‎\frac{2}{n}}‎$ is irrational.

score 2.3k · Answer 15 · 2015-09-16 03:58:55

2.3k

Views

Denseness of the set $\{ m+n\alpha : m\in\mathbb{N},n\in\mathbb{Z}\}$ with $\alpha$ irrational

Published on 16 Sep 2015 - 3:58

List Question

Does every irrational number contain arbitrarily long sequences of some digit?

Sequences of consecutive digits of arbitrary length in irrational ternary numbers (take two).

Is the sum of two rationals or two irrationals irrational?

Prove or give a counterexample If $a \in \Bbb R$\ $\Bbb Q$ exists $n \in \Bbb N$ such that $a^n \in \Bbb Q$

Determine the field properties that are satisfied by B, Is B a field?

a dense set in (0,1)

Does the series $ \sum_k^\infty \frac{k!}{k^k}$ converge to an irrational number and does it have any significance or applications?

Bijection between the set of irrational numbers from 0 to 1 and the set of infinite integers? (Actually, 10-adic integers)

Why is $\pi$ irrational?

Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?

Calculate power of irrational number modulo of integer

Limit points of particular sets of real numbers.

Another conditionl leading to irrationality of $\sum _{k=1}^ \infty \dfrac 1{n_k}$?

Prove that for any natural number $3\leq n$ and rational number t, such that $0<t<1$ , $(t^{n}+1)^{‎\frac{2}{n}}‎$ is irrational.

Denseness of the set $\{ m+n\alpha : m\in\mathbb{N},n\in\mathbb{Z}\}$ with $\alpha$ irrational

Trending Questions

Popular # Hahtags

Popular Questions