Maths Olympiad Prep

Track / Stage 4 / 215 of 340 #475 of 1964

Problem 475

AMC 12 late, AIME early
Number theory Difficulty 4.8 Find the answer

The increasing sequence 2,3,5,6,7,10,11,2,3,5,6,7,10,11, \cdots \cdots, contains all positive integers that are neither perfect squares nor perfect cubes. The 500th term of this sequence is \qquad .

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

answer: 528

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