2, 5, 10, 17, 26, 37, 50, 65, 82, 101, 122, 142
which of these numbers are 3 less than a cubed number
To determine which numbers are 3 less than a cubed number, we can find the cube root of each number and subtract 3.
The cube root of 2 is approximately 1.26, which is not an integer.
The cube root of 5 is approximately 1.71, which is not an integer.
The cube root of 10 is approximately 2.15, which is not an integer.
The cube root of 17 is approximately 2.57, which is not an integer.
The cube root of 26 is approximately 2.92, which is not an integer.
The cube root of 37 is approximately 3.31, which is not an integer.
The cube root of 50 is approximately 3.68, which is not an integer.
The cube root of 65 is approximately 4.02, which is not an integer.
The cube root of 82 is approximately 4.30, which is not an integer.
The cube root of 101 is approximately 4.74, which is not an integer.
The cube root of 122 is approximately 5.01, which is not an integer.
The cube root of 142 is approximately 5.23, which is not an integer.
Therefore, none of the numbers in the given list are 3 less than a perfect cube.