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Omni-MATH / Let D_(n) be the set of divisors of n. Find all natural n such that it is possible to split D_(n) into two disjoint sets A and G, both containing at least three elements each, such…

Problem

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problem

Let

D_n

be the set of divisors of

n

. Find all natural

n

such that it is possible to split

D_n

into two disjoint sets

A

and

G

, both containing at least three elements each, such that the elements in

A

form an arithmetic progression while the elements in

G

form a geometric progression.

Plain-text mathematical notation (without MathML)

Let D_(n) be the set of divisors of n. Find all natural n such that it is possible to split D_(n) into two disjoint sets A and G, both containing at least three elements each, such that the elements in A form an arithmetic progression while the elements in G form a geometric progression.

Original LaTeX notation

Let $D_n$ be the set of divisors of $n$. Find all natural $n$ such that it is possible to split $D_n$ into two disjoint sets $A$ and $G$, both containing at least three elements each, such that the elements in $A$ form an arithmetic progression while the elements in $G$ form a geometric progression.

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task_id: cc309519-3caf-5863-a27a-180f2c06abdd
task_key: test--cc309519-3caf-5863-a27a-180f2c06abdd
task_revision_id: 4
config / split: / test

Official source

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