0
votes
0answers
16 views

Computability of division of large numbers

What is the largest computable mathematical division in terms of the number of digits that can be handled by a typical desktop computer using the best available big number libraries, assuming input is ...
6
votes
4answers
63 views

$20^{15} + 16^{18}$ is divided by 17

What is the reminder, when $20^{15} + 16^{18}$ is divided by 17. I'm asking the similar question because I have little confusions in MOD. If you use mod then please elaborate that for beginner. ...
2
votes
3answers
138 views

Proving that $\frac{n+1}{2n+3}$ is irreducible

I am trying to solve the following problem: Prove that the following fractions are irreducible for any n (n is a natural number and it cannot be null). $\frac{n}{n+1}$ $\frac{n+1}{2n+3}$ ...
4
votes
3answers
118 views

Divide with remainder $\frac{x^2}{x^2 + x + 2}$

I am having a hard time long dividing: $$\frac{x^2}{x^2 + x + 2}.$$ Could someone please show a step by step way to divide this, as I can only get it down to : $1 + \frac{x^2}{x + 2}$. Thank you ...