Ways of writing sets My English is not very good so I hope you understand .
I don't know how to say it in English but we studied that there are 2 ways to write a set. 


*

*The first way is just to list these {you list the elements here and you separate with commas}

*The second way is to find a special property that they share.


For example 
If you have this set $\{2,3,.......,9\}$
You would say that the special property is $\{x:1<x<10,x \mathrm{\;belongs\; to\; the\;natural\;numbers}\}$
Now my Question is
How can I write the special property for the following sets: 


*

*$\{3,5,6,9,10,12,15,18,20,21,24\}$

*$\{17,19,23,29,31,37,41,43,47\}$

*$\{1,2,3,5,8,13,21,34,55\}$


I would be grateful if you help 

The solutions are as follows: 


*

*1: $\{ x \in \mathbb{Z}_{\geq 3} | x = 0 \, \mathrm{mod}\, 3 \, \mathrm{or}\, x = 0 \, \mathrm{mod}\, 5, \, \max(x) = 24 \} -$  See this 

*3: $\{x(n) \in \mathbb{Z}_{> 0} | 2\leq n \leq 11, x(n) = x(n - 1) + x(n - 2), x(0) = 0, x(1) = 1\} -$ See this
The second series contains prime numbers.
