top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

Find the greatest positive integer n for which n is divisible by all positive integers whose cube is not greater than n?

0 votes
249 views
Find the greatest positive integer n for which n is divisible by all positive integers whose cube is not greater than n?
posted Apr 23, 2019 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

This statement is true only when n = 8
ie., 8 is divisible all positive integers below 8^(1/3) = 2 ===> 1 & 2.
if n >= 27 there are prime numbers in between which wont divide with n with 0 as remainder.

answer Apr 22, 2020 by Tejas Naik
...