Number Choosing Contest.

The thing that got a "that's strange" out of me earlier is that rule 1 compliant numbers seemed to come in clumps: {1}, {4}, {13, 14, ??, 16}, {85, ... ,95}, {119, 120, 121}. That none of 84, 90 and 96 passed it irks me something fierce. It'll be interesting actually to see if 15 works...