Define N3 as complete cubic number, delete all complete cubic numbers in positive integer sequence 1,2,3... To get a new sequence, then the 2008 item in the new sequence is

Define N3 as complete cubic number, delete all complete cubic numbers in positive integer sequence 1,2,3... To get a new sequence, then the 2008 item in the new sequence is


If the cube root of 2008 is about 12.6, then there are 12 complete cubes within 2008
So the number 2008 in the sequence is 2008 + 12 = 2020