How many whole numbers are there, whose squares and cubes have the same number of digits?

Question

asked May 10, 2019 1.9k views

2 Answers

MBulli · Answer 1 · 2019-05-12T23:16:50+0000

Answer:

the answer if 4 numbers

(sorry i dont have an explenation i litterally guessed it when I entered it in the RSM portal.)

Explanation:

Breno Perucchi · Answer 2 · 2019-05-13T19:50:33+0000

There are the following numbers for which that holds:

{-4, -2, -1, 0, 1, 2, 4}

See table below. For larger than 5 it can be proved that the number of digits will never be the same.

x x^2 x^3

0 0 0

1 1 1

2 4 8

4 16 64