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Omni-MATH / ( Ricky Liu ) Find all positive integers n such that there are k≥2 positive rational numbers a₁,a₂,…,a_(k) satisfying a₁+a₂+⋯+a_(k)=a₁⋅a₂⋯a_(k)=n .

Problem

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problem

( Ricky Liu ) Find all positive integers nn such that there are k≥2k\ge 2 positive rational numbers a1,a2,…,aka_1, a_2, \ldots, a_k satisfying a1+a2+⋯+ak=a1⋅a2⋯ak=na_1 + a_2 + \cdots + a_k = a_1\cdot a_2\cdots a_k = n .
Plain-text mathematical notation (without MathML)
( Ricky Liu ) Find all positive integers n such that there are k≥2 positive rational numbers a₁,a₂,…,a_(k) satisfying a₁+a₂+⋯+a_(k)=a₁⋅a₂⋯a_(k)=n .
Original LaTeX notation
( Ricky Liu ) Find all positive integers $n$ such that there are $k\ge 2$ positive rational numbers $a_1, a_2, \ldots, a_k$ satisfying $a_1 + a_2 + \cdots + a_k = a_1\cdot a_2\cdots a_k = n$ .

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Source and history

task_id
b9475d36-cd94-5799-b791-988b0f6ce718
task_key
test--b9475d36-cd94-5799-b791-988b0f6ce718
task_revision_id
1
config / split
/ test

Official source

initial import