Digits of 3-digit integers

Notice that

147 = 14^2 – 7^2 = (14 + 7) * 7, where 14 = 7 * 2

147 * (14 + 7) = 14^3 + 7^3 = 3087.

148 * (14 + 8) = 14^3 + 8^3 = 3256


Investigate to find other examples.