Question

Prove elements of a set are not uniquely representable.

score 172 · Answer 1 · 2015-01-29 01:16:28

172

Views

Prove elements of a set are not uniquely representable.

Published on 29 Jan 2015 - 1:16

score 982 · Answer 2 · 2015-01-29 02:27:07

982

Views

If $p$ is a prime and $p$ divides $a^3$ then $p$ divides $a$

Published on 29 Jan 2015 - 2:27

score 56 · Answer 3 · 2026-03-31 07:53:03

56

Views

If I have a polynomial $x^2(1-m^2) - x2m^2 - (m^2 + 1)$ with a solution at $x = -1$, how do I get the other root

Published on 31 Mar 2026 - 7:53

score 2.6k · Answer 4 · 2015-01-29 07:07:07

2.6k

Views

Prove that there are no positive integers $a, b$ and $n >1$ such that $a^n – b^n$ divides $ a^n + b^n$.

Published on 29 Jan 2015 - 7:07

score 510 · Answer 5 · 2015-01-29 17:36:04

510

Views

If $X$ and $Y$ are coprime to $Z$, then so is their product $XY$

Published on 29 Jan 2015 - 17:36

score 4.3k · Answer 6 · 2015-01-30 03:38:59

4.3k

Views

If $a^2$ divides $b^3$, then $a$ divides $b$.

Published on 30 Jan 2015 - 3:38

score 424 · Answer 7 · 2015-01-30 14:22:14

424

Views

Prove that if $p > 3$ is a prime then $2(p-3)! \pmod{p} =-1 \pmod{p}$.

Published on 30 Jan 2015 - 14:22

score 191 · Answer 8 · 2015-01-30 17:37:14

191

Views

Show that $\mathrm{gcd}(x+4,x-4)$ divides $8$ for all integers $x$.

Published on 30 Jan 2015 - 17:37

score 56 · Answer 9 · 2026-04-02 17:51:05

56

Views

Smallest $a$ such that both $a$ and $a+5$ and $a$ and $a+7$ have a common factor

Published on 02 Apr 2026 - 17:51

score 864 · Answer 10 · 2026-03-27 05:59:41

864

Views

How many 0's are in the end of this expansion?

Published on 27 Mar 2026 - 5:59

score 73 · Answer 11 · 2015-02-01 12:19:00

73

Views

Proving that if $8\mid (n^2+2n)$ then $2\mid n$

Published on 01 Feb 2015 - 12:19

score 2.7k · Answer 12 · 2015-02-01 13:21:41

2.7k

Views

Proving a number doesn't divide another and proving $lcm$ using the definition

Published on 01 Feb 2015 - 13:21

score 212 · Answer 13 · 2015-02-01 16:31:36

212

Views

Proving $ab(a+b)+ac(a+c)+bc(b+c)$ is even

Published on 01 Feb 2015 - 16:31

score 13.2k · Answer 14 · 2015-02-02 03:48:59

13.2k

Views

Prove that for any integer, $n^2 + 5$ is not divisible by $4$.

Published on 02 Feb 2015 - 3:48

score 107 · Answer 15 · 2026-03-28 21:06:55

107

Views

$n$ is a divider of $c$ if and only if $n = 2(c \mod (n-1)) - (c \mod(n-2)) + 2$

Published on 28 Mar 2026 - 21:06

List Question

Prove elements of a set are not uniquely representable.

If $p$ is a prime and $p$ divides $a^3$ then $p$ divides $a$

If I have a polynomial $x^2(1-m^2) - x2m^2 - (m^2 + 1)$ with a solution at $x = -1$, how do I get the other root

Prove that there are no positive integers $a, b$ and $n >1$ such that $a^n – b^n$ divides $ a^n + b^n$.

If $X$ and $Y$ are coprime to $Z$, then so is their product $XY$

If $a^2$ divides $b^3$, then $a$ divides $b$.

Prove that if $p > 3$ is a prime then $2(p-3)! \pmod{p} =-1 \pmod{p}$.

Show that $\mathrm{gcd}(x+4,x-4)$ divides $8$ for all integers $x$.

Smallest $a$ such that both $a$ and $a+5$ and $a$ and $a+7$ have a common factor

How many 0's are in the end of this expansion?

Proving that if $8\mid (n^2+2n)$ then $2\mid n$

Proving a number doesn't divide another and proving $lcm$ using the definition

Proving $ab(a+b)+ac(a+c)+bc(b+c)$ is even

Prove that for any integer, $n^2 + 5$ is not divisible by $4$.

$n$ is a divider of $c$ if and only if $n = 2(c \mod (n-1)) - (c \mod(n-2)) + 2$

Trending Questions

Popular # Hahtags

Popular Questions