Maths Olympiad Prep

Track / Stage 4 / 239 of 340 #499 of 1964

Problem 499

AMC 12 late, AIME early
Number theory Difficulty 4.9 Find the answer

Quickly write a twelve-digit number that is not a perfect cube.

The source for this one didn't record the answer, so there is nothing to check what you type against. Work it on paper and mark yourself against the solution below.

Next problem →

Official solution

147. It is sufficient for the last three digits not to be a perfect cube of a single-digit number; it is also sufficient for the number to end in a number of zeros not divisible by 3.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.