List questions from recreational-mathematics

Published on 09 Apr 2026 - 1:36

187

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Prove that there are no positive real numbers $x$, $y$, $z$ such that $ (12x^2 + yz)(12y^2 + xz)(12z^2 + xy) = 2021x^2y^2z^2.$

Published on 16 Apr 2026 - 15:10

163

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Minimal steps to reach a natural number by a signed arithmetic progression

Published on 13 Apr 2026 - 16:25

70

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Two questions about the infinitude of prime Euclid numbers: $E_{n}=p_{1}\cdot p_{2}\cdot \ldots \cdot p_{n} + 1$

Published on 30 Apr 2026 - 7:20

67

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Let $n=am+r$ with $m \ge a>5$ and $r \ge 0$. Prove that $\phi(n) \ge m$

Published on 17 Apr 2026 - 4:16

139

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How few $(42^\circ,60^\circ,78^\circ)$ triangles can a regular hexagon be divided into?

Published on 14 Apr 2026 - 0:57

64

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Find Root Solution

Published on 14 Apr 2026 - 13:41

86

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Finding the minimum $n$ such that there are $n$ reals $x_i$ with $\sum_{i=1}^n\sin x_i=0$ and $\sum_{i=1}^ni\sin x_i=2019$

Published on 16 Apr 2026 - 11:06

68

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Can a monohedral tiling have more than $21$ corner-adjacencies at every tile?

Published on 10 Apr 2026 - 19:21

457

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Even Numbers with Set Notation

Published on 12 Apr 2026 - 0:43

272

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Can you draw a curve that captures light?

Published on 16 Apr 2026 - 23:10

741

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How do I find the bifurcation points of the quadratic map?

Published on 10 Apr 2026 - 5:28

22

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How to calculate this limit, in terms of $a, b, k, ..$?

Published on 12 Apr 2026 - 12:12

106

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Number of repetitions of modular operation

Published on 10 Apr 2026 - 16:48

201

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How many ways to read the palindromic word ROTATOR in this design?

Published on 14 Apr 2026 - 1:57

List Question

How to get the least amount of transfers to get $4L$?

Prove that there are no positive real numbers $x$, $y$, $z$ such that $ (12x^2 + yz)(12y^2 + xz)(12z^2 + xy) = 2021x^2y^2z^2.$

Minimal steps to reach a natural number by a signed arithmetic progression

Two questions about the infinitude of prime Euclid numbers: $E_{n}=p_{1}\cdot p_{2}\cdot \ldots \cdot p_{n} + 1$

Let $n=am+r$ with $m \ge a>5$ and $r \ge 0$. Prove that $\phi(n) \ge m$

How few $(42^\circ,60^\circ,78^\circ)$ triangles can a regular hexagon be divided into?

Find Root Solution

Finding the minimum $n$ such that there are $n$ reals $x_i$ with $\sum_{i=1}^n\sin x_i=0$ and $\sum_{i=1}^ni\sin x_i=2019$

Can a monohedral tiling have more than $21$ corner-adjacencies at every tile?

Even Numbers with Set Notation

Can you draw a curve that captures light?

How do I find the bifurcation points of the quadratic map?

How to calculate this limit, in terms of $a, b, k, ..$?

Number of repetitions of modular operation

How many ways to read the palindromic word ROTATOR in this design?

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