List questions from divisibility

Published on 09 Oct 2019 - 9:48

462

Views

When is $\small \gcd(2n^7\!+1,{3n^3\!+2})>1,$ i.e. when is $\frac{2n^{7}+1}{3n^{3}+2}$ reducible?

Published on 29 Mar 2026 - 7:29

191

Views

$\prod_{i=0}^{n-1}(2^n-2^i)$ can be divided by $n!$

Published on 09 Oct 2019 - 16:05

119

Views

Are there finitely many generalized Fermat primes?

Published on 09 Oct 2019 - 18:11

88

Views

When was the notation $p^a\mid\mid b$ first introduced (roughly)?

Published on 10 Oct 2019 - 7:49

86

Views

Prove that $a = b$

Published on 11 Oct 2019 - 13:50

163

Views

Direct proof of divisibility

Published on 12 Oct 2019 - 8:50

136

Views

Show that $S_{x,y} ⊆ \{n : n ∈ \mathbb Z\textrm{ and }d|n\}$.

Published on 28 Mar 2026 - 3:52

317

Views

Find the smallest number for which the number divides completely into 101

Published on 13 Oct 2019 - 14:33

121

Views

Is $37!$ divisible by $19!\cdot20!$?

Published on 29 Mar 2026 - 11:42

59

Views

Sequence integers

Published on 14 Oct 2019 - 12:54

31

Views

prove that $[5, 7, 11, 13, 17, 19, 23]$ are the only possible variants of the remainders (read context) when dividing the prime number $p$ by 24

Published on 14 Oct 2019 - 18:37

594

Views

How does one prove that $n^2 +5n + 16$ is not divisible by $169$ for any integer $n$?

Published on 15 Oct 2019 - 19:19

226

Views

How to describe the primes not dividing any Fermat number?

Published on 23 Feb 2026 - 2:58

52

Views

Irrationality of $\sqrt{d}$

Published on 16 Oct 2019 - 13:45

List Question

Prove that : $2^{2^{n}}+1\mid 2^{x_{n}}-2$ with $n=1,2,3...$

When is $\small \gcd(2n^7\!+1,{3n^3\!+2})>1,$ i.e. when is $\frac{2n^{7}+1}{3n^{3}+2}$ reducible?

$\prod_{i=0}^{n-1}(2^n-2^i)$ can be divided by $n!$

Are there finitely many generalized Fermat primes?

When was the notation $p^a\mid\mid b$ first introduced (roughly)?

Prove that $a = b$

Direct proof of divisibility

Show that $S_{x,y} ⊆ \{n : n ∈ \mathbb Z\textrm{ and }d|n\}$.

Find the smallest number for which the number divides completely into 101

Is $37!$ divisible by $19!\cdot20!$?

Sequence integers

prove that $[5, 7, 11, 13, 17, 19, 23]$ are the only possible variants of the remainders (read context) when dividing the prime number $p$ by 24

How does one prove that $n^2 +5n + 16$ is not divisible by $169$ for any integer $n$?

How to describe the primes not dividing any Fermat number?

Irrationality of $\sqrt{d}$

Trending Questions

Popular # Hahtags

Popular Questions