Question

Show that for any $s \in S$ where $S = $ {$s \in \mathbb{N} | \exists m,n \in \mathbb{Z}$, we have $d|s$ where $d$ is the smallest element

score 31 · Answer 1 · 2014-03-24 03:31:58

31

Views

Show that for any $s \in S$ where $S = $ {$s \in \mathbb{N} | \exists m,n \in \mathbb{Z}$, we have $d|s$ where $d$ is the smallest element

Published on 24 Mar 2014 - 3:31

score 79 · Answer 2 · 2014-03-24 04:03:23

79

Views

Show that $gcd(a,b) |d $ and hence $gcd(a, b) \leq d$, where $d$ is the smallest number of the form $ma+nb$

Published on 24 Mar 2014 - 4:03

score 603 · Answer 3 · 2026-03-27 12:01:43

603

Views

Why does $ (\frac{1}{2})^∞ = 0?$

Published on 27 Mar 2026 - 12:01

score 169 · Answer 4 · 2014-03-25 13:51:31

169

Views

Find the number of series

Published on 25 Mar 2014 - 13:51

score 154 · Answer 5 · 2026-03-25 13:51:05

154

Views

GCD Domain Proof

Published on 25 Mar 2026 - 13:51

score 77 · Answer 6 · 2026-03-25 12:29:35

77

Views

GCD property of Domain

Published on 25 Mar 2026 - 12:29

score 253 · Answer 7 · 2014-03-26 11:16:00

253

Views

Is it true that gcd$(-n,0)=-n$ for all $n\in\mathbb{N}$?

Published on 26 Mar 2014 - 11:16

score 114 · Answer 8 · 2026-03-29 22:29:58

114

Views

Relation between divisibility of polynomials in different rings, $h | f$ in $\mathbb{Z}[x], \mathbb{Z}/p^k\mathbb{Z}[x]$ and $\mathbb{F}_p[x]$

Published on 29 Mar 2026 - 22:29

score 60 · Answer 9 · 2026-03-29 05:35:19

60

Views

Proof that 6 divides $a \in \mathbb{Z}, a(a^2 - 7)$

Published on 29 Mar 2026 - 5:35

score 58.2k · Answer 10 · 2026-03-28 15:20:12

58.2k

Views

The least perfect square, which is divisible by each of 21,36 and 66 is (options)

Published on 28 Mar 2026 - 15:20

score 230 · Answer 11 · 2014-03-27 09:18:42

230

Views

$27^{2004} + 22^{2004} - 4^{2004} - 1$ is divisible by (options)

Published on 27 Mar 2014 - 9:18

score 123 · Answer 12 · 2026-03-26 04:28:39

123

Views

Proof relating to Euclidean Algorithm

Published on 26 Mar 2026 - 4:28

score 14.3k · Answer 13 · 2026-03-29 14:07:20

14.3k

Views

Find the least value of x which when divided by 3 leaves remainder 1, ...

Published on 29 Mar 2026 - 14:07

score 165.2k · Answer 14 · 2026-03-29 14:00:33

165.2k

Views

Dividing 100% by 3 without any left

Published on 29 Mar 2026 - 14:00

score 1.5k · Answer 15 · 2014-03-30 12:59:43

1.5k

Views

Proof by induction that $n^3 + (n + 1)^3 + (n + 2)^3$ is a multiple of $9$. Please mark/grade.

Published on 30 Mar 2014 - 12:59

List Question

Show that for any $s \in S$ where $S = $ {$s \in \mathbb{N} | \exists m,n \in \mathbb{Z}$, we have $d|s$ where $d$ is the smallest element

Show that $gcd(a,b) |d $ and hence $gcd(a, b) \leq d$, where $d$ is the smallest number of the form $ma+nb$

Why does $ (\frac{1}{2})^∞ = 0?$

Find the number of series

GCD Domain Proof

GCD property of Domain

Is it true that gcd$(-n,0)=-n$ for all $n\in\mathbb{N}$?

Relation between divisibility of polynomials in different rings, $h | f$ in $\mathbb{Z}[x], \mathbb{Z}/p^k\mathbb{Z}[x]$ and $\mathbb{F}_p[x]$

Proof that 6 divides $a \in \mathbb{Z}, a(a^2 - 7)$

The least perfect square, which is divisible by each of 21,36 and 66 is (options)

$27^{2004} + 22^{2004} - 4^{2004} - 1$ is divisible by (options)

Proof relating to Euclidean Algorithm

Find the least value of x which when divided by 3 leaves remainder 1, ...

Dividing 100% by 3 without any left

Proof by induction that $n^3 + (n + 1)^3 + (n + 2)^3$ is a multiple of $9$. Please mark/grade.

Trending Questions

Popular # Hahtags

Popular Questions