List questions from prime-numbers

Published on 27 Mar 2026 - 8:08

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Is there a name for this "Collatz constant"?

Published on 25 Mar 2026 - 7:39

988

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$p^2-p+1$ is a perfect cube of a prime

Published on 27 Mar 2026 - 17:01

57

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Are there exactly $d$ distinct remainders when $x^{\frac{p-1}{d}}$ is divided by $p$?

Published on 25 Mar 2026 - 11:03

153

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On Euler phi function

Published on 25 Mar 2026 - 13:52

253

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Does the amount of positive integers $x \le n$ without middle divisors divided by $n$ converge to $\frac{3}{4}$?

Published on 25 Mar 2026 - 16:20

200

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show this number maybe is prime?

Published on 08 May 2018 - 4:22

166

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Density of square-free values of polynomials of degree $1$ over integers.

Published on 08 May 2018 - 12:18

237

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Perrin sequence and prime numbers

Published on 25 Mar 2026 - 16:20

430

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show this number is not a prime number

Published on 09 May 2018 - 1:07

81

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Confirmation of Proof: $\pi_n + p_a + p_b \geqslant \sum_{i=1}^4 x_i$.

Published on 25 Mar 2026 - 4:42

1.4k

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Asymptotic expression for the $n$th prime number

Published on 09 May 2018 - 3:17

77

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Does $\exists n : 6 + \sum_{i=2}^n p_i = x^6+y^6$ for $p_i$ the $i^{\text{th}}$ prime and $x,y\in\mathbb{Z}$?

Published on 25 Mar 2026 - 7:45

72

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Finding an element of order $67$ modulo $2011$.

Published on 25 Mar 2026 - 5:46

970

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Statement on prime factors of Fibonacci numbers with prime index

Published on 25 Mar 2026 - 9:28

List Question

Question about the partitions of a natural number

Is there a name for this "Collatz constant"?

$p^2-p+1$ is a perfect cube of a prime

Are there exactly $d$ distinct remainders when $x^{\frac{p-1}{d}}$ is divided by $p$?

On Euler phi function

Does the amount of positive integers $x \le n$ without middle divisors divided by $n$ converge to $\frac{3}{4}$?

show this number maybe is prime?

Density of square-free values of polynomials of degree $1$ over integers.

Perrin sequence and prime numbers

show this number is not a prime number

Confirmation of Proof: $\pi_n + p_a + p_b \geqslant \sum_{i=1}^4 x_i$.

Asymptotic expression for the $n$th prime number

Does $\exists n : 6 + \sum_{i=2}^n p_i = x^6+y^6$ for $p_i$ the $i^{\text{th}}$ prime and $x,y\in\mathbb{Z}$?

Finding an element of order $67$ modulo $2011$.

Statement on prime factors of Fibonacci numbers with prime index

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