The number of rules is listed in the TFA as O(sqrt(n)/log(sqrt(n)), which is the same as O(sqrt(n)/log(n)), and slightly better than O(sqrt(n)), which is the number of rules needed if you have rules for the composites as well. That means that in this case, the constant factor is much more important than the complexity, in terms of how many rules we need.
The number of rules is listed in the TFA as O(sqrt(n)/log(sqrt(n)), which is the same as O(sqrt(n)/log(n)), and slightly better than O(sqrt(n)), which is the number of rules needed if you have rules for the composites as well. That means that in this case, the constant factor is much more important than the complexity, in terms of how many rules we need.