List questions from parity

Published on 26 Mar 2026 - 11:06

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General results on the change of the parity of a number by repeatedly dividing by 2

Published on 26 Mar 2026 - 11:01

114

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Proof that if $(n+1)^2 -1$ is even then $n$ is even?

Published on 26 Mar 2026 - 11:04

37

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If $\sigma(N)$ is odd, $N = 2y^2$, and $y$ is not a power of two, does it follow that $\gcd(2,y) = 1$?

Published on 26 Mar 2026 - 11:01

32

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Can $n$ be an odd natural number?

Published on 26 Mar 2026 - 10:59

2.1k

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Reason for Fourier coefficients vanishing

Published on 26 Mar 2026 - 11:06

63

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Making bigger penny triangles from smaller

Published on 26 Mar 2026 - 11:06

3k

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Using parity to determine the answer for the given problem

Published on 26 Mar 2026 - 11:05

1.8k

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Using Group Theory to Solve this IMO problem

Published on 26 Mar 2026 - 10:57

491

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Do different notations imply different properties of a number?

Published on 26 Mar 2026 - 11:03

544

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Show that if $3n + 5$ is even, then $n^2$ is odd.

Published on 26 Mar 2026 - 12:35

670

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Why are an even number of flips required to get back to the original list?

Published on 22 Apr 2026 - 8:23

169

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Tournament Of The Towns King and the 1000 wizard's

Published on 26 Mar 2026 - 12:37

805

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$(\text{even}/\text{even})\times \text{even} = \text{odd}$?

Published on 10 May 2026 - 15:50

2.4k

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Odd or even permutation with matrices

Published on 26 Mar 2026 - 10:57

List Question

"Mathematical Circles (Russian Experience)", Chapter 1, P5

General results on the change of the parity of a number by repeatedly dividing by 2

Proof that if $(n+1)^2 -1$ is even then $n$ is even?

If $\sigma(N)$ is odd, $N = 2y^2$, and $y$ is not a power of two, does it follow that $\gcd(2,y) = 1$?

Can $n$ be an odd natural number?

Reason for Fourier coefficients vanishing

Making bigger penny triangles from smaller

Using parity to determine the answer for the given problem

Using Group Theory to Solve this IMO problem

Do different notations imply different properties of a number?

Show that if $3n + 5$ is even, then $n^2$ is odd.

Why are an even number of flips required to get back to the original list?

Tournament Of The Towns King and the 1000 wizard's

$(\text{even}/\text{even})\times \text{even} = \text{odd}$?

Odd or even permutation with matrices

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