determine the next 3 numbers in the pattern....?

Question

4,6,9,10,14,15,21,22,25,26,33,34,35,38,...?
so i think the pattern is these are number that only break down into two prime factors. so the next numbers should be 39, 46, and 51. but is there something else? and how would i figure out the general pattern?

4,6,9,10,14,15,21,22,25,26,33,34,35,38...

for some reason, the computer wont let me add the end of the sequence. the last few #s in the given pattern are 26,33,34,35,38

Answer 1

No that is the pattern. And to figure out the general pattern just take a number and factor it. If the two numbers that result are prime, then it's part of the pattern. So after that would be 57 and so on.

Answer 2

If you are saying 39, 46, and 51 then you might have gone too far. The numbers supplied have only gone as far as 26 (2 x 13) and 33 (3 x 11). But then you have to look at the prime numbers past 13. So 34 would be 2 x 17 and 38 would be 2 x 19.
35 is 5 x 7.
I would put the next 3 numbers as 34, 35, and 38.

Answer 3

35, 39, 49

The pattern is made of numbers that are the products of exactly two primes, but they are in increasing numeric order. These would be the next 3 numbers in the sequence.

Answer 4

that seems right to me....