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
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.
8 is the same as the sum of the digits of its cube, 512.
The cube root of this number is 1 more than the smallest prime?
The cube root of this number is one more than the smallest prime
eleven
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.