List questions from rational-numbers

Published on 30 Mar 2026 - 5:23

116

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Proof completion: Finding the length of period for $q$-nary irreducible fraction $m / n$ with $q$, $n$ coprime

Published on 29 Mar 2026 - 12:11

47

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Is there a rational solution to the system?

Published on 01 Apr 2026 - 3:05

101

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Is there a simple function $f(x)$ that follows $2$ rules when $x$ is rational?

Published on 25 Mar 2026 - 1:24

455

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Terence Tao Analysis I Proposition 4.4.5

Published on 18 Jul 2020 - 22:45

187

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If $f(2n)=\frac1{f(n)+1}$ and $f(2n+1)=f(n)+1$ for all $n\in\Bbb N$, then find $n$ such that $f(n)=14/5$.

Published on 31 Mar 2026 - 3:14

84

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Is it an open problem? (Sums of squares)

Published on 25 Mar 2026 - 19:02

61

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Generating subgroup of $\langle \mathbb{Q} \setminus \{0\},\cdot\rangle$

Published on 25 Jul 2020 - 9:55

706

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Rational numbers as vectors in infinite dimensional space with the basis $( \log 2,\log 3, \log 5, \log 7, \dots, \log p, \dots) $

Published on 09 Jul 2016 - 23:05

109

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Rational root coefficient

Published on 13 Jul 2016 - 3:04

241

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Is $x^x$ rational for $x=\sqrt{2}^\sqrt{2}$

Published on 26 Mar 2026 - 9:19

171

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Prove that there are exactly $k$ pairs $(x,y)$ of rational numbers with $0\leq x,y<1$ for which both $ax+by,cx+dy$ are integers.

Published on 25 Mar 2026 - 12:50

203

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Is $\pi e$ irrational?

Published on 01 Apr 2026 - 6:02

132

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Algorithm that calculates decimal places of number

Published on 16 Jul 2016 - 13:02

81

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Number of Rational Solutions $\mathbf{x}\in[0,1)^n$ to the Matrix Condition $\mathbf{A}\,\mathbf{x}\in\mathbb{Z}^n$

Published on 26 Mar 2026 - 6:06

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Number theory question from 2017 MO

Proof completion: Finding the length of period for $q$-nary irreducible fraction $m / n$ with $q$, $n$ coprime

Is there a rational solution to the system?

Is there a simple function $f(x)$ that follows $2$ rules when $x$ is rational?

Terence Tao Analysis I Proposition 4.4.5

If $f(2n)=\frac1{f(n)+1}$ and $f(2n+1)=f(n)+1$ for all $n\in\Bbb N$, then find $n$ such that $f(n)=14/5$.

Is it an open problem? (Sums of squares)

Generating subgroup of $\langle \mathbb{Q} \setminus \{0\},\cdot\rangle$

Rational numbers as vectors in infinite dimensional space with the basis $( \log 2,\log 3, \log 5, \log 7, \dots, \log p, \dots) $

Rational root coefficient

Is $x^x$ rational for $x=\sqrt{2}^\sqrt{2}$

Prove that there are exactly $k$ pairs $(x,y)$ of rational numbers with $0\leq x,y<1$ for which both $ax+by,cx+dy$ are integers.

Is $\pi e$ irrational?

Algorithm that calculates decimal places of number

Number of Rational Solutions $\mathbf{x}\in[0,1)^n$ to the Matrix Condition $\mathbf{A}\,\mathbf{x}\in\mathbb{Z}^n$

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