the sum of the square and cube
Source: All-Russian olympiad 1996, Grade 9, First Day, Problem 1
April 18, 2013
geometry3D geometrynumber theory proposednumber theory
Problem Statement
Which are there more of among the natural numbers from 1 to 1000000, inclusive: numbers that can be represented as the sum of a perfect square and a (positive) perfect cube, or numbers that cannot be?A. Golovanov