List questions from conjectures

Published on 26 Mar 2026 - 13:44

276

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When is $\frac{5^n - 1}{4}$ squarefree?

Published on 23 Feb 2026 - 6:42

259

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Conjecture improvement of Bunyakovsky integral inequality $\int_{0}^{I}g(t)dt\leq J$

Published on 21 May 2023 - 14:57

109

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Conjecture: Every shear transformation of the plane is congruent to a dilation

Published on 26 Mar 2026 - 6:21

172

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Question about the collection of the prime factors of a fibonacci number

Published on 23 May 2023 - 11:42

1.3k

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Crazy fact(?) about circles drawn on base of triangle between cevians: they always fit, no matter what their order?

Published on 01 Jun 2023 - 14:47

63

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Conjecture: It is not true that $2$ eventually always divides $f(x) = \sum_{d \mid p_{\sqrt{x+1}}\#} (d \mid x^2 - 1)$.

Published on 25 Mar 2026 - 14:34

42

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Generalised Hadwiger conjecture for any n-dimensional body

Published on 26 Mar 2026 - 16:04

6.5k

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What are some conjectures of your own?

Published on 25 Mar 2026 - 23:37

42

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Riemann hypothesis like conjecture for a non-UFD?

Published on 25 Mar 2026 - 22:10

67

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Is some twin prime average the sum of two twin prime averages, two ways?

Published on 25 Mar 2026 - 14:36

122

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Riemann Hypothesis implies Prime number theorem?

Published on 26 Mar 2026 - 6:20

69

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Help me (dis)prove a conjecture about square numbers

Published on 29 Jun 2023 - 15:16

98

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$f(x) + f(x/2) + f(x/3) + ... = x$ and conjecture A : $\pi(x/a) > \frac{\pi(x)}{a}$

Published on 30 Jun 2023 - 11:17

83

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Mixing Continued fraction and nested radicals does $D=-\pi+\ln(16)+(7\ln\pi)/2-7/3\arctan(\pi)$?

Published on 26 Mar 2026 - 8:23

List Question

Who discovered the largest known $3$-perfect number in $1643$?

When is $\frac{5^n - 1}{4}$ squarefree?

Conjecture improvement of Bunyakovsky integral inequality $\int_{0}^{I}g(t)dt\leq J$

Conjecture: Every shear transformation of the plane is congruent to a dilation

Question about the collection of the prime factors of a fibonacci number

Crazy fact(?) about circles drawn on base of triangle between cevians: they always fit, no matter what their order?

Conjecture: It is not true that $2$ eventually always divides $f(x) = \sum_{d \mid p_{\sqrt{x+1}}\#} (d \mid x^2 - 1)$.

Generalised Hadwiger conjecture for any n-dimensional body

What are some conjectures of your own?

Riemann hypothesis like conjecture for a non-UFD?

Is some twin prime average the sum of two twin prime averages, two ways?

Riemann Hypothesis implies Prime number theorem?

Help me (dis)prove a conjecture about square numbers

$f(x) + f(x/2) + f(x/3) + ... = x$ and conjecture A : $\pi(x/a) > \frac{\pi(x)}{a}$

Mixing Continued fraction and nested radicals does $D=-\pi+\ln(16)+(7\ln\pi)/2-7/3\arctan(\pi)$?

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