Maths Olympiad Prep

Track / Stage 4 / 223 of 340 #483 of 1964

Problem 483

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

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

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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 and solution reproduced as published; topic, difficulty and ordering added by this site.