This is a pretty cool example of confirmation bias. I was 100% sure the rule was a sequence of numbers that were all powers of some base... (2, 4, 8 - 16, 32, 64 - 3, 9, 27 - 5, 25, 125 - all got a "yes"), but it turned out to be something much simpler/different. It's like if you turn into a certain news channel every day and always see stories about [group of people] doing [thing you disapprove of], you might think that there was something wrong or inferior about [group of people] that causes them to do [thing you disapprove of], rather than something more subtle.