Creating a set / sequence of positive integers

I’ve tried to get this kind of formula working on wolfram alpha:

a)

{ n ? ? > 1 : gcd(n,30) = 1 }

b)

{ n ? n ? ?, n?1, 2?n, 3?n, 5?n }

Both should produce similar sequence of numbers (SON):

7,11,13,17,19,23,29,31,37,41,43,47,49,53,59,61,67,71,73,77,79,83,89,91,97,101,…

That I want to again use on other formula.

So is it possible to create a set:

a) such which has positive integers greater than 1 and which will produce 1 as a greatest common divider

or set:

b) such which has no numbers 1 or numbers with a product of 2, or numbers with a product of 3, or numbers with a product of 5?

Basicly I’m already stuck with the notation of n in Elements: n ? ? , how to do it plus I can’t get result outputting the SON mentioned above.

I have tried this: { n ? N > 1 : gcd(n, 30) = 1 } assume n variable - Wolfram|Alpha

Thanks. Got me on right tracks:

solve gcd(n, 30) = 1
1<=n<=100 for n

And

n such that gcd(n, 30)=1, n=1 to 100