Question

prove that $3$ does not divide $n^2+1$

score 4.4k · Answer 1 · 2014-04-23 00:54:52

4.4k

Views

prove that $3$ does not divide $n^2+1$

Published on 23 Apr 2014 - 0:54

score 84 · Answer 2 · 2014-04-23 09:34:23

84

Views

Number theory question maximum possible difference between $a$ and $b$

Published on 23 Apr 2014 - 9:34

score 144 · Answer 3 · 2014-04-23 18:05:51

144

Views

Prove something is divisible by a prime

Published on 23 Apr 2014 - 18:05

score 18.3k · Answer 4 · 2014-04-23 18:20:09

18.3k

Views

Find the sum of all three-digit natural numbers that are not exactly divisible by 3.

Published on 23 Apr 2014 - 18:20

score 56 · Answer 5 · 2014-04-24 05:36:09

56

Views

Show that $x_0$ must be an integer. Conclude that $\sqrt[n]{2}$ is irrational for every $n \geq 2$

Published on 24 Apr 2014 - 5:36

score 559 · Answer 6 · 2014-04-24 08:14:07

559

Views

A polynomial with integer coefficient

Published on 24 Apr 2014 - 8:14

score 53 · Answer 7 · 2026-03-27 02:59:59

53

Views

$3^a\mid s(n) \Rightarrow 3^a\mid n$

Published on 27 Mar 2026 - 2:59

score 128 · Answer 8 · 2014-04-25 14:51:44

128

Views

Divisibility exercise

Published on 25 Apr 2014 - 14:51

score 167 · Answer 9 · 2014-04-25 15:32:58

167

Views

How to prove if $n$ is prime and $n | a^2$ then $n | a$?

Published on 25 Apr 2014 - 15:32

score 58 · Answer 10 · 2014-04-25 16:19:01

58

Views

Let $a$ be a positive integer. The sum of $a$ consecutive integers is divisible by $a$ if and only if $a$ is odd.

Published on 25 Apr 2014 - 16:19

score 1.6k · Answer 11 · 2014-04-25 16:55:08

1.6k

Views

How to prove divisibility of the difference between two numbers.

Published on 25 Apr 2014 - 16:55

score 4.1k · Answer 12 · 2014-04-26 18:12:43

4.1k

Views

Use mathematical induction to prove that $(3^n+7^n)-2$ is divisible by 8 for all non-negative integers.

Published on 26 Apr 2014 - 18:12

score 218 · Answer 13 · 2026-03-25 17:33:21

218

Views

The Number of The 0's in a Factorial

Published on 25 Mar 2026 - 17:33

score 100 · Answer 14 · 2014-04-27 13:15:27

100

Views

Prove: $\text{if }a,b,c\in\mathbb{Z} \text{ and } a^2+b^2=c^2\text{ then }3\mid ab$

Published on 27 Apr 2014 - 13:15

score 46 · Answer 15 · 2026-03-27 13:48:18

46

Views

Find the remainder of $a^2-3a+11$ knowing that the remainder of dividing $a$ by $18$ is $5$.

Published on 27 Mar 2026 - 13:48

List Question

prove that $3$ does not divide $n^2+1$

Number theory question maximum possible difference between $a$ and $b$

Prove something is divisible by a prime

Find the sum of all three-digit natural numbers that are not exactly divisible by 3.

Show that $x_0$ must be an integer. Conclude that $\sqrt[n]{2}$ is irrational for every $n \geq 2$

A polynomial with integer coefficient

$3^a\mid s(n) \Rightarrow 3^a\mid n$

Divisibility exercise

How to prove if $n$ is prime and $n | a^2$ then $n | a$?

Let $a$ be a positive integer. The sum of $a$ consecutive integers is divisible by $a$ if and only if $a$ is odd.

How to prove divisibility of the difference between two numbers.

Use mathematical induction to prove that $(3^n+7^n)-2$ is divisible by 8 for all non-negative integers.

The Number of The 0's in a Factorial

Prove: $\text{if }a,b,c\in\mathbb{Z} \text{ and } a^2+b^2=c^2\text{ then }3\mid ab$

Find the remainder of $a^2-3a+11$ knowing that the remainder of dividing $a$ by $18$ is $5$.

Trending Questions

Popular # Hahtags

Popular Questions