List questions from divisibility

Published on 09 Sep 2018 - 15:35

1.2k

Views

Prove that if $3n^2 + 2n$ is even, then $n$ is even

Published on 11 Sep 2018 - 12:02

166

Views

Prove that $n^4-n$ is divisible by 2 for all integer

Published on 13 Sep 2018 - 12:14

62

Views

Factorising a divisor of a product

Published on 25 Mar 2026 - 1:23

1.4k

Views

Prove: If $\ a^2$ is a multiple of $\ n$ then $\ a$ is a multiple of by $\ n$ assuming n is prime

Published on 13 Sep 2018 - 23:09

86

Views

$a^n+ b^n$ is not a prime number when $n$ is not a power of $2$.

Published on 14 Sep 2018 - 0:24

35

Views

Divisibility of a sequence of numbers

Published on 15 Sep 2018 - 12:50

145

Views

$\frac{1}{5}n^5+\frac{1}{3}n^3+\frac{7}{15}n$ is an integer for every integer n.

Published on 15 Sep 2018 - 14:08

391

Views

"Binomial coefficients" generalized via polynomial iteration

Published on 25 Mar 2026 - 4:35

316

Views

Let $m,n$ be positive integrars such that $\gcd(m,n) = 6$ find $\operatorname{lcm(}4m,21n)$?

Published on 15 Sep 2018 - 18:05

950

Views

Divisibility of $10^n-1$

Published on 17 Sep 2018 - 10:13

533

Views

Attempt to prove that (a,b) = (a,b,a+b)

Published on 17 Sep 2018 - 12:00

875

Views

If $n$ is such a positive integer, that $8|n^2$, then $4|n$

Published on 18 Sep 2018 - 13:06

96

Views

Binomial Coefficient Divisibility

Published on 18 Sep 2018 - 17:23

142

Views

Divisibility: 2 3 5 7 13 on $n^{13}-n$

Published on 19 Sep 2018 - 4:23

List Question

Proof Verification: If $a | x$ and $b | y$, then $ab | 2xy$

Prove that if $3n^2 + 2n$ is even, then $n$ is even

Prove that $n^4-n$ is divisible by 2 for all integer

Factorising a divisor of a product

Prove: If $\ a^2$ is a multiple of $\ n$ then $\ a$ is a multiple of by $\ n$ assuming n is prime

$a^n+ b^n$ is not a prime number when $n$ is not a power of $2$.

Divisibility of a sequence of numbers

$\frac{1}{5}n^5+\frac{1}{3}n^3+\frac{7}{15}n$ is an integer for every integer n.

"Binomial coefficients" generalized via polynomial iteration

Let $m,n$ be positive integrars such that $\gcd(m,n) = 6$ find $\operatorname{lcm(}4m,21n)$?

Divisibility of $10^n-1$

Attempt to prove that (a,b) = (a,b,a+b)

If $n$ is such a positive integer, that $8|n^2$, then $4|n$

Binomial Coefficient Divisibility

Divisibility: 2 3 5 7 13 on $n^{13}-n$

Trending Questions

Popular # Hahtags

Popular Questions