Euler's solution to the Basel problem, which asks for the sum of "one over n squared" for all positive integers, was pi squared divided by this quantity.
Pascal's theorem concerns the figure formed by choosing this many points on a conic section, and this value is the larger number in the first Ruth-Aaron pair. Euler's solution to the Basel problem, which asks for the sum of "one over n squared" for all positive integers, was pi squared divided by this quantity. Because this number equals the sum of its proper factors, it is the first (*) perfect number. It is also the third triangular number, and one multiplies side length squared by this integer to find the surface area of a cube. For ten points, identify this number equal to the number of sides in a hexagon.
Pascal's theorem concerns the figure formed by choosing this many points on a conic section, and this value is the larger number in the first Ruth-Aaron pair.
six