# Proving Sum of Consecutive Cubes Formula

The sum of the first n consecutive cubes is equal to the square of the sum of the first n numbers. This post explains how to analyse the pattern of the sum of consecutive cubes and the square of the sum of the first n numbers, derive the sum formula and prove the formula using […]

# Digital Cubes

The number $153$ is equal to the sum of the cubes of its digits: $$1^3 + 5^3 + 3^3 = 1 + 125 + 27 = 153$$ In general, $$a^3+b^3+c^3=100a+10b+c$$ There are three other $3$-digit numbers (Digital Cubes) with the same property, excluding numbers like $001$ with a leading zero. Do you want to try […]