You can put this solution on YOUR website! It is all a question of reading the mind of whoever invented the problem.
When reading someone else's scribbles, there is room for alternate interpretations.
I believe that, like beauty, the answer to this problem is in the eye of the beholder.
The answer in my eye is ,
assuming that the logic is each number being more than the number three positions before it, as in
3 4 7 13 14 17 23 24 27 33 34 37 43 44 47
However, there could be more creative answers.