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MATH / The sequence 2, 3, 5, 6, 7, 10, 11, … contains all the positive integers from least to greatest that are neither squares nor cubes. What is the 400^(th) term of the sequence?

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problem

The sequence 2, 3, 5, 6, 7, 10, 11, …\ldots contains all the positive integers from least to greatest that are neither squares nor cubes. What is the 400th400^{\mathrm{th}} term of the sequence?
Plain-text mathematical notation (without MathML)
The sequence 2, 3, 5, 6, 7, 10, 11, … contains all the positive integers from least to greatest that are neither squares nor cubes. What is the 400^(th) term of the sequence?
Original LaTeX notation
The sequence 2, 3, 5, 6, 7, 10, 11, $\ldots$ contains all the positive integers from least to greatest that are neither squares nor cubes. What is the $400^{\mathrm{th}}$ term of the sequence?

level

Level 4

type

Counting & Probability

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Source and history

task_id
3e318e13-3751-5710-accc-a10c011d7aa1
task_key
counting~5fand~5fprobability--test--3e318e13-3751-5710-accc-a10c011d7aa1
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import