List questions from prime-numbers

Published on 25 Mar 2026 - 11:02

77

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Closed form of $\sum \frac {1}{p_1.p_2.….p_r}$ where $p_r$ is the $r^{th}$ prime

Published on 25 Mar 2026 - 22:26

149

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Find all natural numbers $n$ such that $2n+1$ and $3n+1$ are square numbers and $2n+9$ is a prime.

Published on 25 Mar 2026 - 17:21

147

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Proof that $\langle y\rangle$ is a normal subgroup of $G$ with order $q$ and $|G|=pq$ with $p$,$q$ prime

Published on 26 Mar 2026 - 13:02

240

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Is Riemann's R-function $R(x)$ differentiable?

Published on 28 Mar 2026 - 8:08

280

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Prove that $8p^2+2p+1$ is prime number

Published on 25 Mar 2026 - 23:53

202

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Find all primes $p$ and $q$ such that $p^2+1 | 2003^q+1$ and $q^2+1 |2003^p+1$.

Published on 26 Mar 2026 - 17:33

41

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Can a finite subset of integers ever be a maximal anti-ideal?

Published on 26 Mar 2026 - 22:16

89

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For any $a \in \Bbb{Z}$, can we always find two prime numbers $p, q$, such that $p - q \in (a)$?

Published on 25 Mar 2026 - 6:13

32

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Anti-ideals in $\Bbb{Z}$ form a matroid, so all maximal anti-ideals are in bijection?

Published on 25 Mar 2026 - 3:03

30

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Prime elements in the ring of integers.

Published on 01 Nov 2018 - 19:07

41

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The collection of anti-ideals of a ring forms a matroid?

Published on 25 Mar 2026 - 3:04

111

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n is primitive root for odd prime p. If -n is primitive root iff p = 4k+1 for some integer k

Published on 25 Mar 2026 - 7:15

28

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How Close Can Numbers with Bounded Prime Factors Be?

Published on 01 Nov 2018 - 22:53

63

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Are there infinitely many primes of the form $b^n+1$ where $b$ is fixed?

Published on 02 Nov 2018 - 11:28

List Question

Primes of the form $x^2+ny^2$?

Closed form of $\sum \frac {1}{p_1.p_2.….p_r}$ where $p_r$ is the $r^{th}$ prime

Find all natural numbers $n$ such that $2n+1$ and $3n+1$ are square numbers and $2n+9$ is a prime.

Proof that $\langle y\rangle$ is a normal subgroup of $G$ with order $q$ and $|G|=pq$ with $p$,$q$ prime

Is Riemann's R-function $R(x)$ differentiable?

Prove that $8p^2+2p+1$ is prime number

Find all primes $p$ and $q$ such that $p^2+1 | 2003^q+1$ and $q^2+1 |2003^p+1$.

Can a finite subset of integers ever be a maximal anti-ideal?

For any $a \in \Bbb{Z}$, can we always find two prime numbers $p, q$, such that $p - q \in (a)$?

Anti-ideals in $\Bbb{Z}$ form a matroid, so all maximal anti-ideals are in bijection?

Prime elements in the ring of integers.

The collection of anti-ideals of a ring forms a matroid?

n is primitive root for odd prime p. If -n is primitive root iff p = 4k+1 for some integer k

How Close Can Numbers with Bounded Prime Factors Be?

Are there infinitely many primes of the form $b^n+1$ where $b$ is fixed?

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