List questions from divisibility

Published on 08 Nov 2014 - 19:51

358

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How am I supposed to tell if a number is divisible by $13$ (I need a shortcut)?

Published on 08 Nov 2014 - 20:03

410

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Factoring numbers of the form $11111111$

Published on 27 Mar 2026 - 23:48

631

Views

Use division algorithm to prove for any odd integer n, $n^2 -1$ is a multiple of 8.

Published on 30 Mar 2026 - 0:19

79

Views

Statement about divisibility

Published on 28 Mar 2026 - 16:04

2.4k

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Prime elements in the gaussian integers

Published on 09 Nov 2014 - 19:11

65

Views

Greatest common divisor / euclidean algorithm linear combination proof

Published on 09 Nov 2014 - 23:00

441

Views

Mathematical Induction divisibility $8\mid 3^{2n}-1$

Published on 10 Nov 2014 - 1:44

93

Views

divisibility relation $a|b^2 + 10c.$

Published on 10 Nov 2014 - 11:18

166

Views

prove that $2^n+2^{n-1}+2^{n-2}+8^n-8^{n-2}$ is a multiple of 7

Published on 10 Nov 2014 - 18:33

1.2k

Views

Product of consecutive Fibonacci numbers divisibility

Published on 28 Mar 2026 - 6:09

189

Views

question about cryptography

Published on 27 Mar 2026 - 12:00

477

Views

Proof that if $\gcd(a,b) = 1$ and $a\mid n$ and $b\mid n$, $ab \mid n$

Published on 11 Nov 2014 - 22:15

84

Views

Prove or disprove that if $a\mid(sb + tc)$ for all $s,t$ elements of integers, then $a\mid b$ and $a\mid c$

Published on 12 Nov 2014 - 1:31

707

Views

Weak Mathematical Induction for Modulo Arithmetic $8\mid 3^{2n}-1$

Published on 12 Nov 2014 - 2:36

List Question

The number $2^{3^n}+1$ is divisible by $3^{n+1}$ and not divisible by $3^{n+2}$.

How am I supposed to tell if a number is divisible by $13$ (I need a shortcut)?

Factoring numbers of the form $11111111$

Use division algorithm to prove for any odd integer n, $n^2 -1$ is a multiple of 8.

Statement about divisibility

Prime elements in the gaussian integers

Greatest common divisor / euclidean algorithm linear combination proof

Mathematical Induction divisibility $8\mid 3^{2n}-1$

divisibility relation $a|b^2 + 10c.$

prove that $2^n+2^{n-1}+2^{n-2}+8^n-8^{n-2}$ is a multiple of 7

Product of consecutive Fibonacci numbers divisibility

question about cryptography

Proof that if $\gcd(a,b) = 1$ and $a\mid n$ and $b\mid n$, $ab \mid n$

Prove or disprove that if $a\mid(sb + tc)$ for all $s,t$ elements of integers, then $a\mid b$ and $a\mid c$

Weak Mathematical Induction for Modulo Arithmetic $8\mid 3^{2n}-1$

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