List questions from recreational-mathematics

Published on 13 Apr 2026 - 2:51

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Dissecting an equilateral triangle into equilateral triangles of pairwise different sizes

Published on 14 Apr 2026 - 7:29

12.4k

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How to calculate $ 1^k+2^k+3^k+\cdots+N^k $ with given values of $N$ and $k$?

Published on 11 Apr 2026 - 12:22

476

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Checking Sudoku - sufficient sums

Published on 14 Apr 2026 - 0:38

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What are the symmetries of a $2\times 2\times 2$ colored rubiks cube?

Published on 09 Apr 2026 - 17:05

120

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Arbitrary ratio sequences on a partition of $\mathbb{R}$ (Partition regularity of fixed ratio sequences)

Published on 13 Apr 2026 - 9:01

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Gambling puzzle

Published on 16 Apr 2026 - 21:18

185

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Determining the strength of an abstract army

Published on 16 Apr 2026 - 17:12

244

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Easy Probability Problem

Published on 12 Apr 2026 - 16:40

144

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Does this Graph converge in a finite number of steps? How fast is it?

Published on 14 Apr 2026 - 2:09

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Number of positive integers $\le n$ with different digits.

Published on 12 Apr 2026 - 23:04

190

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Interesting and irritating problem.

Published on 10 Apr 2026 - 5:52

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Using the digits $7,7,7,7,1$ and the operators $+,-,*,/$ to make a formula which equals $100$

Published on 11 Apr 2026 - 23:55

147

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What is sum of occurrences of zeros, at the end of integers, up to number $n$?

Published on 12 Apr 2026 - 21:32

45

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For which minimal $k$ true is that ${4}^{k}\cdot n\leq \displaystyle\sum^{n}_{i=1}{a}_{i}^{k}\leq {5}^{k}\cdot n$, ${a}_{i}\in {1,2,3,4,5,6}$?

Published on 16 Apr 2026 - 9:15

List Question

Method of expressing the product of first n integers

Dissecting an equilateral triangle into equilateral triangles of pairwise different sizes

How to calculate $ 1^k+2^k+3^k+\cdots+N^k $ with given values of $N$ and $k$?

Checking Sudoku - sufficient sums

What are the symmetries of a $2\times 2\times 2$ colored rubiks cube?

Arbitrary ratio sequences on a partition of $\mathbb{R}$ (Partition regularity of fixed ratio sequences)

Gambling puzzle

Determining the strength of an abstract army

Easy Probability Problem

Does this Graph converge in a finite number of steps? How fast is it?

Number of positive integers $\le n$ with different digits.

Interesting and irritating problem.

Using the digits $7,7,7,7,1$ and the operators $+,-,*,/$ to make a formula which equals $100$

What is sum of occurrences of zeros, at the end of integers, up to number $n$?

For which minimal $k$ true is that ${4}^{k}\cdot n\leq \displaystyle\sum^{n}_{i=1}{a}_{i}^{k}\leq {5}^{k}\cdot n$, ${a}_{i}\in {1,2,3,4,5,6}$?

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