Question

Greatest common divisor with one parameter and condition

score 223 · Answer 1 · 2014-06-01 11:52:11

223

Views

Greatest common divisor with one parameter and condition

Published on 01 Jun 2014 - 11:52

score 401 · Answer 2 · 2014-06-05 21:19:57

401

Views

$\sum\limits_{k=0}^{n}\binom{2n+1}{2k+1}2^{3k}$ isn't divisible by 5

Published on 05 Jun 2014 - 21:19

score 587 · Answer 3 · 2026-03-28 12:14:52

587

Views

Find positive integers $(x,n)$ such that $x^{n} + 2^{n} + 1$ is a divisor of $x^{n+1} +2^{n+1} +1$

Published on 28 Mar 2026 - 12:14

score 100 · Answer 4 · 2014-06-08 08:56:22

100

Views

Show that if $a=bq+r $ and $d|a$ and $d |b $, then $d|a-bq $

Published on 08 Jun 2014 - 8:56

score 1k · Answer 5 · 2014-06-08 20:59:13

1k

Views

Prove that if $n^2 - 1$ is divisible by a prime number $p$ such that $n - 1$ is not divisible by $p$, then $n + 1$ is also divisible by $p$.

Published on 08 Jun 2014 - 20:59

score 89 · Answer 6 · 2026-03-27 02:50:41

89

Views

Question about kth root of a reduced ring element.

Published on 27 Mar 2026 - 2:50

score 50 · Answer 7 · 2014-06-09 16:41:04

50

Views

$nc_i\mid\prod_{i=1}^3(nc_i+1)-1$ iff $\exists c\in 6\mathbb{N}:c_i=ic$

Published on 09 Jun 2014 - 16:41

score 587 · Answer 8 · 2014-06-10 13:16:38

587

Views

Remainder of trick-number divided by 9

Published on 10 Jun 2014 - 13:16

score 229 · Answer 9 · 2014-06-11 01:24:36

229

Views

$B$-powersmooth number divides $\mathrm{lcm}(1,2,3,\ldots B)$

Published on 11 Jun 2014 - 1:24

score 1.5k · Answer 10 · 2014-06-11 15:24:44

1.5k

Views

Show that the number 9 divides the number $ m$ if and only if the sum of the digits of the number $ m $ is divisible by 9.

Published on 11 Jun 2014 - 15:24

score 587 · Answer 11 · 2014-06-12 14:54:17

587

Views

Showing DO NOT exist GCD of $6$ and $2+2 \sqrt{-5}$ in $\Bbb Z[\sqrt{-5}]$.

Published on 12 Jun 2014 - 14:54

score 128 · Answer 12 · 2014-06-12 17:50:33

128

Views

$f(x) = x^3 - x$ then $f(n)$ is multiple of 3

Published on 12 Jun 2014 - 17:50

score 172 · Answer 13 · 2026-03-26 19:02:47

172

Views

If there is an $a\in\mathbb{Z}$ with $a^{n-1}\equiv 1\mod n$ but $a^{\frac{n-1}p}\not\equiv 1$ for all primes $p\mid n-1$, then $n$ is a prime

Published on 26 Mar 2026 - 19:02

score 974 · Answer 14 · 2014-06-14 09:02:52

974

Views

highest power of prime $p$ dividing $\binom{m+n}{n}$

Published on 14 Jun 2014 - 9:02

score 156 · Answer 15 · 2026-03-25 18:49:33

156

Views

What are the smallest numbers $n$ such that $\dfrac{d(n)}{\ln(n)} \geq k$ where $d(n) = \sigma_0(n)$ is the number-of-divisors function?

Published on 25 Mar 2026 - 18:49

List Question

Greatest common divisor with one parameter and condition

$\sum\limits_{k=0}^{n}\binom{2n+1}{2k+1}2^{3k}$ isn't divisible by 5

Find positive integers $(x,n)$ such that $x^{n} + 2^{n} + 1$ is a divisor of $x^{n+1} +2^{n+1} +1$

Show that if $a=bq+r $ and $d|a$ and $d |b $, then $d|a-bq $

Prove that if $n^2 - 1$ is divisible by a prime number $p$ such that $n - 1$ is not divisible by $p$, then $n + 1$ is also divisible by $p$.

Question about kth root of a reduced ring element.

$nc_i\mid\prod_{i=1}^3(nc_i+1)-1$ iff $\exists c\in 6\mathbb{N}:c_i=ic$

Remainder of trick-number divided by 9

$B$-powersmooth number divides $\mathrm{lcm}(1,2,3,\ldots B)$

Show that the number 9 divides the number $ m$ if and only if the sum of the digits of the number $ m $ is divisible by 9.

Showing DO NOT exist GCD of $6$ and $2+2 \sqrt{-5}$ in $\Bbb Z[\sqrt{-5}]$.

$f(x) = x^3 - x$ then $f(n)$ is multiple of 3

If there is an $a\in\mathbb{Z}$ with $a^{n-1}\equiv 1\mod n$ but $a^{\frac{n-1}p}\not\equiv 1$ for all primes $p\mid n-1$, then $n$ is a prime

highest power of prime $p$ dividing $\binom{m+n}{n}$

What are the smallest numbers $n$ such that $\dfrac{d(n)}{\ln(n)} \geq k$ where $d(n) = \sigma_0(n)$ is the number-of-divisors function?

Trending Questions

Popular # Hahtags

Popular Questions