List questions from divisibility

Published on 28 Mar 2026 - 5:28

41

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Prove that the 5-adic valuation of $(10^{k+t}+10^t+1)^c-1$ is $t+v_5(c)$

Published on 26 Mar 2026 - 20:41

70

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Solutions to $f(x+1) = 1 + f(x) + f(x/2)^2 + f(x/3)^3 + f(x/4)^4+...$ ? $f(x) = O(\frac{\exp(x)}{x+1})$?

Published on 01 Apr 2026 - 22:19

58

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Residues and perfect squares in $\mathbb{Z}[i][X]$

Published on 25 Mar 2026 - 20:42

128

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Find the number of distinct positive divisors of $2^23^25^3$.

Published on 15 Jun 2023 - 6:04

189

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Proving 111...111 is divisible by $3^n$

Published on 23 Feb 2026 - 10:23

75

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What is the rest of dividing $5^n$ by $7$?

Published on 19 Jun 2023 - 22:13

26

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Relation between fully divide and deriviate of a known polynomial.

Published on 23 Jun 2023 - 7:57

103

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Rationalizing a purely imaginary complex number

Published on 24 Jun 2023 - 17:06

165

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Is this the general solution to $m\mid n^2+n, n\mid m^2+m$?

Published on 25 Jun 2023 - 3:15

168

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The numbers from $11111$ to $99999$ are written in a random order, one after another, forming a single number. Prove that it cannot be a power of $2$.

Published on 25 Mar 2026 - 23:42

117

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Prove by induction that for all n the division of a(n) by 8 will have a remainder of 1.

Published on 26 Jun 2023 - 21:22

291

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Find all the positive integers such that $n+7$ is divisible by $3n-1$

Published on 28 Jun 2023 - 1:44

52

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Figuring out $\gcd(5a+3,4a+7)$ for $a>0$

Published on 02 Apr 2026 - 0:20

130

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If division can be thought of as simply another way to do subtraction, why does dividing by zero not result in infinity?

Published on 01 Jul 2023 - 1:10

List Question

Question about the divisibility of a sum

Prove that the 5-adic valuation of $(10^{k+t}+10^t+1)^c-1$ is $t+v_5(c)$

Solutions to $f(x+1) = 1 + f(x) + f(x/2)^2 + f(x/3)^3 + f(x/4)^4+...$ ? $f(x) = O(\frac{\exp(x)}{x+1})$?

Residues and perfect squares in $\mathbb{Z}[i][X]$

Find the number of distinct positive divisors of $2^23^25^3$.

Proving 111...111 is divisible by $3^n$

What is the rest of dividing $5^n$ by $7$?

Relation between fully divide and deriviate of a known polynomial.

Rationalizing a purely imaginary complex number

Is this the general solution to $m\mid n^2+n, n\mid m^2+m$?

The numbers from $11111$ to $99999$ are written in a random order, one after another, forming a single number. Prove that it cannot be a power of $2$.

Prove by induction that for all n the division of a(n) by 8 will have a remainder of 1.

Find all the positive integers such that $n+7$ is divisible by $3n-1$

Figuring out $\gcd(5a+3,4a+7)$ for $a>0$

If division can be thought of as simply another way to do subtraction, why does dividing by zero not result in infinity?

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