List questions from divisibility

Published on 10 May 2026 - 23:19

47

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Why do even exponents occur more often if the residue is $5$ mod $7$?

Published on 15 Apr 2026 - 16:48

75

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Most frequent remainder when 1000 is divided by all integers from 1 to 1000

Published on 16 Apr 2026 - 13:45

43

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Proving $\forall s\in\mathbb{N},(\exists x \in\mathbb{N},s^2=3x)∨(\exists y\in\mathbb{N},s^2=3y-2)$

Published on 17 Apr 2026 - 13:47

69

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Proving that ${4a \choose 2a} - {2a \choose a}$ is divisible by 4

Published on 12 Apr 2026 - 13:19

95

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If $a_n = a_{n-1}a_{n-3} + a_{n-2}^2$, then is it always divisible by $a_{n-4}$?

Published on 11 May 2026 - 4:22

66

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For how many values of $n\in \mathbb{N}$ less than $250$, $\frac{7n-3}{8n-5}$ can be simplified

Published on 16 Apr 2026 - 13:21

39

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Fermat generalization, not sure if it's true or how to prove it

Published on 14 Apr 2026 - 12:06

858

Views

How many 3-digit numbers divisible by 3 have no digits that are individually divisible by 3?

Published on 13 Apr 2026 - 15:28

186

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Is there a pattern in the sequence $l_1,l_2,l_3,\ldots$?

Published on 16 Apr 2026 - 14:41

940

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Proof that $\Bbb{Z}_p$ is a field if $p$ is a prime (without Ring theory)

Published on 14 Apr 2026 - 1:17

141

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Is $(ab+1)^{a^n}-1$ always divisible by $a^{n+1}b$?

Published on 25 Mar 2026 - 13:04

199

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Integral values of $k$ for which polynomial has integral roots.

Published on 11 Apr 2026 - 6:19

53

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Euclidean Division Rest Question

Published on 10 May 2026 - 13:46

103

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if $d\mid n$ then $x^d-1\mid x^n-1$ proof

Published on 16 Apr 2026 - 18:24

List Question

Which primes can never divide an "ec"-number?

Why do even exponents occur more often if the residue is $5$ mod $7$?

Most frequent remainder when 1000 is divided by all integers from 1 to 1000

Proving $\forall s\in\mathbb{N},(\exists x \in\mathbb{N},s^2=3x)∨(\exists y\in\mathbb{N},s^2=3y-2)$

Proving that ${4a \choose 2a} - {2a \choose a}$ is divisible by 4

If $a_n = a_{n-1}a_{n-3} + a_{n-2}^2$, then is it always divisible by $a_{n-4}$?

For how many values of $n\in \mathbb{N}$ less than $250$, $\frac{7n-3}{8n-5}$ can be simplified

Fermat generalization, not sure if it's true or how to prove it

How many 3-digit numbers divisible by 3 have no digits that are individually divisible by 3?

Is there a pattern in the sequence $l_1,l_2,l_3,\ldots$?

Proof that $\Bbb{Z}_p$ is a field if $p$ is a prime (without Ring theory)

Is $(ab+1)^{a^n}-1$ always divisible by $a^{n+1}b$?

Integral values of $k$ for which polynomial has integral roots.

Euclidean Division Rest Question

if $d\mid n$ then $x^d-1\mid x^n-1$ proof

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