Question

Is it possible that some combination of partial sums of $\sum \sqrt{k}$ be a rational number? $\text{where } k \text { not a perfect square}$

score 108 · Answer 1 · 2015-08-17 10:56:35

108

Views

Is it possible that some combination of partial sums of $\sum \sqrt{k}$ be a rational number? $\text{where } k \text { not a perfect square}$

Published on 17 Aug 2015 - 10:56

score 1.2k · Answer 2 · 2015-08-17 14:40:08

1.2k

Views

Is the number $0.1234567891011121314\ldots$ a rational or irrational number?

Published on 17 Aug 2015 - 14:40

score 105 · Answer 3 · 2015-08-21 15:16:30

105

Views

Irrationality of ${5^{1/7}}$

Published on 21 Aug 2015 - 15:16

score 159 · Answer 4 · 2015-08-21 18:55:13

159

Views

Elementary proof that $\sum_{k=1}^{\infty}{\frac{1}{m^{k^2}}}$ is irrational (for any integer $m > 1$)

Published on 21 Aug 2015 - 18:55

score 164 · Answer 5 · 2026-03-26 08:02:35

164

Views

Proving the irrationality of the concatenation of the $n$th powers of primes

Published on 26 Mar 2026 - 8:02

score 1.2k · Answer 6 · 2015-08-25 11:07:12

1.2k

Views

Prove that $\sqrt{3}$ is not a rational number

Published on 25 Aug 2015 - 11:07

score 138 · Answer 7 · 2015-09-03 17:21:00

138

Views

Goodness-of-Fit tests for Multinomial and Binomial Data

Published on 03 Sep 2015 - 17:21

score 377 · Answer 8 · 2015-09-05 12:27:37

377

Views

Show that $(2^n-1)^{1/n}$ is irrational

Published on 05 Sep 2015 - 12:27

score 2.4k · Answer 9 · 2015-09-05 15:46:23

2.4k

Views

$0.101001000100001000001$... is irrational.

Published on 05 Sep 2015 - 15:46

score 9.4k · Answer 10 · 2015-09-06 01:40:06

9.4k

Views

Is the sum of two rationals or two irrationals irrational?

Published on 06 Sep 2015 - 1:40

score 167 · Answer 11 · 2015-09-09 03:34:26

167

Views

If $\sqrt{n}$ is not an integer, are there any rational numbers $x$ such that $x^2 = n$?

Published on 09 Sep 2015 - 3:34

score 469 · Answer 12 · 2015-09-13 02:26:28

469

Views

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

Published on 13 Sep 2015 - 2:26

score 141 · Answer 13 · 2015-09-14 11:09:08

141

Views

Irrationality of $\zeta(\frac{3}{2})$

Published on 14 Sep 2015 - 11:09

score 161 · Answer 14 · 2015-10-02 01:43:53

161

Views

Prove that $\sqrt{2+\sqrt 3}$ is irrational

Published on 02 Oct 2015 - 1:43

score 274 · Answer 15 · 2015-10-06 03:26:38

274

Views

Using Modularity Theorem and Ribet's Theorem to disprove existence of rational solutions

Published on 06 Oct 2015 - 3:26

List Question

Is it possible that some combination of partial sums of $\sum \sqrt{k}$ be a rational number? $\text{where } k \text { not a perfect square}$

Is the number $0.1234567891011121314\ldots$ a rational or irrational number?

Irrationality of ${5^{1/7}}$

Elementary proof that $\sum_{k=1}^{\infty}{\frac{1}{m^{k^2}}}$ is irrational (for any integer $m > 1$)

Proving the irrationality of the concatenation of the $n$th powers of primes

Prove that $\sqrt{3}$ is not a rational number

Goodness-of-Fit tests for Multinomial and Binomial Data

Show that $(2^n-1)^{1/n}$ is irrational

$0.101001000100001000001$... is irrational.

Is the sum of two rationals or two irrationals irrational?

If $\sqrt{n}$ is not an integer, are there any rational numbers $x$ such that $x^2 = n$?

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

Irrationality of $\zeta(\frac{3}{2})$

Prove that $\sqrt{2+\sqrt 3}$ is irrational

Using Modularity Theorem and Ribet's Theorem to disprove existence of rational solutions

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