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Omni-MATH / A number n is [i]interesting[/i] if 2018 divides d(n) (the number of positive divisors of n). Determine all positive integers k such that there exists an infinite arithmetic progre…

Problem

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problem

A number

n

is [i]interesting[/i] if 2018 divides

d(n)

(the number of positive divisors of

n

). Determine all positive integers

k

such that there exists an infinite arithmetic progression with common difference

k

whose terms are all interesting.

Plain-text mathematical notation (without MathML)

A number n is [i]interesting[/i] if 2018 divides d(n) (the number of positive divisors of n). Determine all positive integers k such that there exists an infinite arithmetic progression with common difference k whose terms are all interesting.

Original LaTeX notation

A number $n$ is [i]interesting[/i] if 2018 divides $d(n)$ (the number of positive divisors of $n$). Determine all positive integers $k$ such that there exists an infinite arithmetic progression with common difference $k$ whose terms are all interesting.

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Source and history

task_id: 1e794897-9b4c-55cf-ab7a-59cebcd47e83
task_key: test--1e794897-9b4c-55cf-ab7a-59cebcd47e83
task_revision_id: 2
config / split: / test

Official source

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