McNugget Numbers

December 9, 2011

At McDonalds’ Restaurants, the Chicken McNugget meals are available in sizes of 6 McNuggets, 9 McNuggets, or 20 McNuggets. A number is a McNugget number if it can be the sum of the number of McNuggets purchased in an order (before eating any of them). Henri Picciotto devised the math of McNugget numbers in the 1980s while dining with his son at McDonald’s, working the problem out on a napkin.

Your task is to determine all numbers that are not McNugget numbers. When you are finished, you are welcome to read or run a suggested solution, or to post your own solution or discuss the exercise in the comments below.

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