Drop The Cubes
Number Theory
Level
3
An increasing sequence 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, ... contains all positive integers which are not perfect cubes. What is the 2016th number of the sequence?
The answer is 2028.
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1 solution
The closest cube to 2 0 1 6 is 1 2 × 1 2 × 1 2 = 1 7 2 8 , so, 2 0 1 6 + 1 2 = 2 0 2 8