Notes about primes

read moreI need to figure out which primes follow this pattern.

(note: sequence is obtained by adding 2, then 4, then 6, to a starting prime)

In our sequence, we need to look at and analyze the number that is first able to divide a term in the sequence.

It seems like the sequence originating at 11 is never (not shown) divisible by the numbers 2 through 10.

Will the sequence always contain (end at) the square of the starting number?

Why is it that some numbers work for certain sequences and others with others?

I can't continue to search for patterns manually; I'm going to have to write a program to do it for me.