But people who are bad at maths are unlikely to be writing about maths. A crude example might be if you search for “2+2=” in the training data, you’re much more likely to find “4” as the next character.

Obviously llms are far more complex than this, but I think this proves the point. The fact you had to add the “recent” qualifier there highlights that llms in general were bad and had to be provided with corrective targeted training data to improve. (And they still can’t count the R’s in strawberry!)