Problem of the Day #10

Hooray, we are on 10!
So, more patterns, oh, and this has something to do with twin primes.

What comes next in this sequence? 4, 6, 12, 18, 30, 42, 60, 72, 102, 108,...?
Have fun solving!

Problem of the Day #9

Sorry for not posting yesterday.
There were some complications but, I'm here today!
I like patterns so here is another riddle for patterns.
1 = 3, 2 = 3, 3 = 5, 4 = 4, 5 = 4, 6 = 3, 7 = 5, 8 = 5, 9 = 4, 10 = 3, 11 = ?, 12 = ?
What do eleven and twelve equal?

Problem of the Day #8

I'm covering for Kazuma because we usually work together on posts but I was late for the meeting. It is completely my fault.

Figure out the next part of this pyramid:

1
11
21
1211
111221
312211
13112221

So, what comes next? This will help you sharpen your pattern senses.