Chapter 4: Sum = Product Sequences

Whether we stopped to think about it or not, we are all familiar with 2 + 2 = 2 · 2 and 1 + 2 + 3 = 1 · 2 · 3 as examples where a sum of positive integers is equal to their product. It is a curious fact and we wonder if such examples are scarce. Andrew Palfreyman [1] discusses such sequences with equal sums and products.¹ As will be seen, there are a number of unsolved questions that arise and these led to some correspondence with Mike Bennett and Andrew Dunn and an article in the Fibonacci Quarterly (1995)…