Greek means

This is my second note on Ancient Greek mathematics, following last year’s post on planar numbers. At the time, I had just read Introduction to Arithmetic by Nicomachus, written around 100 AD. I hoped to learn a little about the history of math, but I didn’t expect to learn any actual mathematics. However, I am … Continue reading Greek means

2025 and counting

What is the sum of all the numbers in the multiplication table? Did you get 2025? Happy New Year! This problem reflects a very special property of 2025: It is the square of a triangular number, . Squares of triangular numbers are also sums of consecutive cubes, so in this case We are very lucky … Continue reading 2025 and counting