Question

Relation of common divisors leading to integer results

score 42 · Answer 1 · 2014-03-12 09:11:35

42

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Relation of common divisors leading to integer results

Published on 12 Mar 2014 - 9:11

score 1.9k · Answer 2 · 2014-03-13 00:40:45

1.9k

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Understanding a proof that $\gcd(a, b) = 1$ if $sa + tb = 21$ and $ua + vb = 10$

Published on 13 Mar 2014 - 0:40

score 26 · Answer 3 · 2014-03-13 02:27:13

26

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$\forall (p,k)\in\mathbb N^2$ with $k$ not divisible by $3$ : $1+p+p^2\mid 1+p^{2k}+(1+p)^{2k}$

Published on 13 Mar 2014 - 2:27

score 8.4k · Answer 4 · 2026-03-28 05:59:58

8.4k

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Show that $\frac{n^5}{5} + \frac{n^3}{3} + \frac{7n}{15}$ is an integer for every $n$

Published on 28 Mar 2026 - 5:59

score 63 · Answer 5 · 2014-03-13 22:49:29

63

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If B is half of A and C is half of B and the sum of all them is 1 then, what is A?

Published on 13 Mar 2014 - 22:49

score 367 · Answer 6 · 2014-03-13 23:17:34

367

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Looking for the lowest number divisible by 1 to A.

Published on 13 Mar 2014 - 23:17

score 305 · Answer 7 · 2014-03-15 21:57:05

305

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Conditions for which $n | {n \choose k}$ for all $k$

Published on 15 Mar 2014 - 21:57

score 832 · Answer 8 · 2026-03-28 05:01:08

832

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Finding divisibility of a

Published on 28 Mar 2026 - 5:01

score 224 · Answer 9 · 2026-03-28 11:53:43

224

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How do you justify the PigeonHole principle?

Published on 28 Mar 2026 - 11:53

score 7.5k · Answer 10 · 2014-03-17 15:14:37

7.5k

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Find the next divisor without remainder

Published on 17 Mar 2014 - 15:14

score 312 · Answer 11 · 2014-03-18 13:50:44

312

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Proving divisibility by using induction: $133 \mid (11^{n+2} + 12^{2n+1})$

Published on 18 Mar 2014 - 13:50

score 58 · Answer 12 · 2014-03-19 03:30:41

58

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show that for any $n \in \mathbb{Z}$ gcd($n^2 - n + 1, n +1)$ is either $1$ or $3$.

Published on 19 Mar 2014 - 3:30

score 1.7k · Answer 13 · 2014-03-19 03:58:16

1.7k

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Show $a\Bbb Z+b\Bbb Z = \gcd(a,b)\Bbb Z$

Published on 19 Mar 2014 - 3:58

score 643 · Answer 14 · 2014-03-19 07:08:51

643

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How do I prove divisibility by 3 without induction?

Published on 19 Mar 2014 - 7:08

score 7k · Answer 15 · 2014-03-19 10:22:41

7k

Views

Proof about pythagorean triples $(a,b,c)$: At least one of $a$ and $b$ is even.

Published on 19 Mar 2014 - 10:22

List Question

Relation of common divisors leading to integer results

Understanding a proof that $\gcd(a, b) = 1$ if $sa + tb = 21$ and $ua + vb = 10$

$\forall (p,k)\in\mathbb N^2$ with $k$ not divisible by $3$ : $1+p+p^2\mid 1+p^{2k}+(1+p)^{2k}$

Show that $\frac{n^5}{5} + \frac{n^3}{3} + \frac{7n}{15}$ is an integer for every $n$

If B is half of A and C is half of B and the sum of all them is 1 then, what is A?

Looking for the lowest number divisible by 1 to A.

Conditions for which $n | {n \choose k}$ for all $k$

Finding divisibility of a

How do you justify the PigeonHole principle?

Find the next divisor without remainder

Proving divisibility by using induction: $133 \mid (11^{n+2} + 12^{2n+1})$

show that for any $n \in \mathbb{Z}$ gcd($n^2 - n + 1, n +1)$ is either $1$ or $3$.

Show $a\Bbb Z+b\Bbb Z = \gcd(a,b)\Bbb Z$

How do I prove divisibility by 3 without induction?

Proof about pythagorean triples $(a,b,c)$: At least one of $a$ and $b$ is even.

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