List questions from irrational-numbers

Published on 11 May 2026 - 9:31

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What are rationalizing factors?

Published on 14 May 2026 - 17:31

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Enhanced Berry-Esseen theorem for the digits of $\sqrt{2}$

Published on 26 Mar 2026 - 3:12

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Successive records in mathematical sequences: surprising result

Published on 14 Apr 2026 - 19:34

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If $\sqrt{h_{n+1}}-\sqrt{h_n} \rightarrow 0$ and $\alpha$ irrational, then $\{h_n \alpha\}$ is equidistributed mod 1

Published on 12 May 2026 - 1:21

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Potential enhancement of the equidistribution theorem

Published on 12 May 2026 - 14:53

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Strange property of irrational numbers, linked to continued fractions

Published on 10 May 2026 - 12:34

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What about irrationality of $a_n=(1-\frac12)^{(\frac12-\frac13)^{...^{(\frac{1}{n}-\frac{1}{n+1})}}}$?

Published on 13 May 2026 - 1:39

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A simple irrational number with the same first 11,667,755 digits as $\frac{2}{3}$

Published on 16 Apr 2026 - 13:04

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Is $\lim_{n\to\infty} S_n$ irrational?

Published on 17 Apr 2026 - 15:42

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Proving $\sqrt{2}$ is irrational

Published on 17 Apr 2026 - 6:20

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Can any irrational number be expressed by z√y = y^(1/z)

Published on 15 Apr 2026 - 12:13

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Pi vs Irrational Numbers

Published on 11 May 2026 - 3:44

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Let the rational number $p/q$ be closest to but not equal to $22/7$ among all rational numbers with denominator $< 100$.

Published on 15 Apr 2026 - 5:39

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How does the Gelfond–Schneider theorem prove $e^\pi$ is transcendental?

Published on 11 May 2026 - 5:22

List Question

Do the positive irrationals form a group with respect to multiplication

What are rationalizing factors?

Enhanced Berry-Esseen theorem for the digits of $\sqrt{2}$

Successive records in mathematical sequences: surprising result

If $\sqrt{h_{n+1}}-\sqrt{h_n} \rightarrow 0$ and $\alpha$ irrational, then $\{h_n \alpha\}$ is equidistributed mod 1

Potential enhancement of the equidistribution theorem

Strange property of irrational numbers, linked to continued fractions

What about irrationality of $a_n=(1-\frac12)^{(\frac12-\frac13)^{...^{(\frac{1}{n}-\frac{1}{n+1})}}}$?

A simple irrational number with the same first 11,667,755 digits as $\frac{2}{3}$

Is $\lim_{n\to\infty} S_n$ irrational?

Proving $\sqrt{2}$ is irrational

Can any irrational number be expressed by z√y = y^(1/z)

Pi vs Irrational Numbers

Let the rational number $p/q$ be closest to but not equal to $22/7$ among all rational numbers with denominator $< 100$.

How does the Gelfond–Schneider theorem prove $e^\pi$ is transcendental?

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