Number Choosing Contest.

I think we have to pass the format rules as well. Which, if I am correct, I have just done.

Yeah, but, if that was the case, Sruix could have just worked their way up the OEIS list but they chose not to for puzzle sanctity reasons. So, it's really their win, imo.

As for rule 1, I noticed that all of the numbers whose digits sum to 4 passed the rule. The rule certainly isn't that, but it would be interesting if that is a unique subset or just a coincidence of the numbers we've chosen.