List questions from prime-numbers

Published on 30 Mar 2026 - 10:53

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5-adic order of $\zeta-f(\overline 2)\zeta^2+f(\overline 2)\zeta^3+\zeta^4$

Published on 26 Mar 2026 - 6:42

1k

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If $ n > 0$ and $n^2+1$ is prime, then $n=1$ or $n$ is even

Published on 18 Dec 2018 - 2:26

35

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How many members $a$ in $\Bbb{Z}^*$ have a number $b$, $b^3 = a \pmod n$?

Published on 25 Mar 2026 - 23:52

74

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On a certain bijection of the multiplicative group modulo prime $p=2^k+1$.

Published on 29 Mar 2026 - 17:25

131

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prime gaps, sort of!

Published on 18 Dec 2018 - 23:40

398

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Maximum number of distinct prime factors of numbers below $2^{64}$

Published on 26 Mar 2026 - 4:53

69

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$n \in \mathbb N$, find all values of $n$ for which $3^{2n+1}-2^{2n+1}-6^n$ is a prime number.

Published on 31 Mar 2026 - 17:51

55

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What is a minimal set of rules that determine the usual order on $\Bbb{N}$ given that $1 \lt p_1 \lt p_2 \lt \dots$?

Published on 25 Mar 2026 - 22:05

1k

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For which primes $p$ is $p^2+p+1$ prime as well?

Published on 20 Dec 2018 - 6:46

75

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Inequality deduced from relatively prime numbers.

Published on 28 Mar 2026 - 10:17

671

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Find formula for function of $n$ returning $0$ if $n$ is composite and $1$ if $n$ is prime

Published on 29 Mar 2026 - 3:28

3.7k

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Prime number construction game

Published on 25 Mar 2026 - 12:22

230

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Are numbers in which all substrings are primes finite regardless of base?

Published on 21 Dec 2018 - 8:50

187

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Improved sieve for primes and prime twins?

Published on 22 Mar 2026 - 10:12

List Question

Is $e^{\frac{\vartheta(x)}{x}}\ll_{\varepsilon}x^{\varepsilon} $?

5-adic order of $\zeta-f(\overline 2)\zeta^2+f(\overline 2)\zeta^3+\zeta^4$

If $ n > 0$ and $n^2+1$ is prime, then $n=1$ or $n$ is even

How many members $a$ in $\Bbb{Z}^*$ have a number $b$, $b^3 = a \pmod n$?

On a certain bijection of the multiplicative group modulo prime $p=2^k+1$.

prime gaps, sort of!

Maximum number of distinct prime factors of numbers below $2^{64}$

$n \in \mathbb N$, find all values of $n$ for which $3^{2n+1}-2^{2n+1}-6^n$ is a prime number.

What is a minimal set of rules that determine the usual order on $\Bbb{N}$ given that $1 \lt p_1 \lt p_2 \lt \dots$?

For which primes $p$ is $p^2+p+1$ prime as well?

Inequality deduced from relatively prime numbers.

Find formula for function of $n$ returning $0$ if $n$ is composite and $1$ if $n$ is prime

Prime number construction game

Are numbers in which all substrings are primes finite regardless of base?

Improved sieve for primes and prime twins?

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