Tagged Questions
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.
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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).
$\frac{n}{n+1}$
$\frac{n+1}{2n+3}$
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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 ...