7543 Done by a computer search. 7543 ^ 3 = 429172932007
I think it will be 17. The sum of digits is 8, which is the cube of 2.
45
5
3
The smallest Rubik cube is the 2x2x2 cube and it is by far the easiest
8 is the same as the sum of the digits of its cube, 512.
1729 is the smallest number that can be expressed in two ways as the sum of two cubes.[12cube+9cube] * * * * * ... two positive cubes. 12 cube + 1 cube and 10 cube + 9 cube.
The cube root of this number is 1 more than the smallest prime?
eleven
The cube root of this number is one more than the smallest prime
The number 27 has a cube root of 3, which is 2 (the smallest prime) plus 1.
Here is a method: cube root of 400g = n, where n is an integer cube both sides: 400g = n3 then: g = n3/400 therefore: n3/400 must be an integer if this is so, then n3 must be divisible by 400 with no remainder, and n must be => cube root of 400 which is 7.368 bracket the answer by substitution: let n=8, n cubed = 512 no good let n=12, n cubed = 1728 no good let n=20, n cubed = 8000, 8000/400=20 OK No smaller value of n will be divisible by 400 without a remainder, so g=20 is the smallest positive integer that meets the requirement.