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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…

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problem

A number nn is [i]interesting[/i] if 2018 divides d(n)d(n) (the number of positive divisors of nn). Determine all positive integers kk such that there exists an infinite arithmetic progression with common difference kk 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
5
config / split
/ test

Official source

initial import