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Omni-MATH / Find all positive integers n such that for any integer k there exists an integer a for which a³+a−k is divisible by n.

Problem

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problem

Find all positive integers nn such that for any integer kk there exists an integer aa for which a3+a−ka^{3}+a-k is divisible by nn.
Plain-text mathematical notation (without MathML)
Find all positive integers n such that for any integer k there exists an integer a for which a³+a−k is divisible by n.
Original LaTeX notation
Find all positive integers $n$ such that for any integer $k$ there exists an integer $a$ for which $a^{3}+a-k$ is divisible by $n$.

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Source and history

task_id
91733f13-ba34-587a-a5a0-d244e4118930
task_key
test--91733f13-ba34-587a-a5a0-d244e4118930
task_revision_id
1
config / split
/ test

Official source

initial import