List questions from parity

Published on 05 Jun 2021 - 16:35

216

Views

A proof of the theorem $1+\frac{1}{2}+\dots+\frac{1}{n} = \frac{k}{m}$ with $k$ odd and $m$ even

Published on 25 Jun 2021 - 13:23

58

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Is it possible to determine if $\frac{xy^2}{2}$ is an even number?

Published on 19 Jul 2021 - 15:44

177

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Is $\sigma$ odd or even? Is $\tau $ odd or even?

Published on 06 Aug 2021 - 3:40

129

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If $f(x) = 4x^2 - 4ax + b$ and $a^2-b$ is a perfect square of a rational number then which one is the right statement

Published on 07 Aug 2021 - 16:20

66

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Parity of hooklengths in a partition diagram

Published on 26 Mar 2026 - 2:55

83

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Sequence of j ones and k zeros [without modulo or ceiling/floor functions]

Published on 20 Aug 2021 - 19:21

504

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Creating a specific sequence of odd numbers followed by even numbers

Published on 22 Aug 2021 - 1:17

105

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Is $(-1)^n$ equal to $(-1)^{n+2}$ for any natural number n?

Published on 03 Sep 2021 - 8:16

298

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Parity of the sum

Published on 09 Sep 2021 - 8:34

72

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Parity of the sum involving Stirling numbers of the second kind

Published on 09 Sep 2021 - 9:23

140

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Even And Odd Analogous To Plus And Minus

Published on 24 Feb 2026 - 1:50

85

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Permutation group sending even to even and odd to odd

Published on 14 Dec 2021 - 23:38

113

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Find all positive integers $x,y$ such that $(x+y)(xy+1)$ is a power of $2$

Published on 26 Mar 2026 - 21:14

51

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$a,b,r,s$ are coprime such that $a^2+b^2=r^2$ and $a^2-b^2=s^2$. Which of the numbers are odd?

Published on 31 Dec 2021 - 8:27

List Question

1000 divisors, alternating parity, many digits

A proof of the theorem $1+\frac{1}{2}+\dots+\frac{1}{n} = \frac{k}{m}$ with $k$ odd and $m$ even

Is it possible to determine if $\frac{xy^2}{2}$ is an even number?

Is $\sigma$ odd or even? Is $\tau $ odd or even?

If $f(x) = 4x^2 - 4ax + b$ and $a^2-b$ is a perfect square of a rational number then which one is the right statement

Parity of hooklengths in a partition diagram

Sequence of j ones and k zeros [without modulo or ceiling/floor functions]

Creating a specific sequence of odd numbers followed by even numbers

Is $(-1)^n$ equal to $(-1)^{n+2}$ for any natural number n?

Parity of the sum

Parity of the sum involving Stirling numbers of the second kind

Even And Odd Analogous To Plus And Minus

Permutation group sending even to even and odd to odd

Find all positive integers $x,y$ such that $(x+y)(xy+1)$ is a power of $2$

$a,b,r,s$ are coprime such that $a^2+b^2=r^2$ and $a^2-b^2=s^2$. Which of the numbers are odd?

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