S is the minimum positive integer whose cube root is of the form T + U, where T is a positive integer and U is a positive real number less than 0.00001.

Determine the value of S.

(In reply to re: generalised approach. by Ady TZIDON)

It is not exact, Ady.

For example, 577351 is followed by 1825742, not 1824744. So some care is still needed.

But it is extremely close!

Posted by broll on 2014-09-27 08:50:06