Here's his tabulation of the set of smallest integers for which the relationship holds in each case from 2 to 7 consecutive integers. Keith speculates that if you go high enough, you'll eventually find an example for any number of consecutive integers. It's also possible to study the frequency distribution of these special sets of integers. Notice that the first example of a set of seven consecutive integers starts with a number that is smaller than that for six consecutive integers. When you put words and numbers together, there's a lot out there to play with.
Comments are welcome.
W.H. Freeman, 1998.