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Omni-MATH / Determine the largest of all integers n with the property that n is divisible by all positive integers that are less than root[3](n).

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Determine the largest of all integers nn with the property that nn is divisible by all positive integers that are less than n3\sqrt[3]{n}.
Plain-text mathematical notation (without MathML)
Determine the largest of all integers n with the property that n is divisible by all positive integers that are less than root[3](n).
Original LaTeX notation
Determine the largest of all integers $n$ with the property that $n$ is divisible by all positive integers that are less than $\sqrt[3]{n}$.

Discussion

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Source and history

task_id
288bdc1a-1b66-5afd-99a4-917089251ea3
task_key
test--288bdc1a-1b66-5afd-99a4-917089251ea3
task_revision_id
1
config / split
/ test

Official source

initial import