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Omni-MATH / Find all pairs (m,n) of nonnegative integers for which m²+2⋅3^(n)=m(2^(n+1)−1). [i]

Problem

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problem

Find all pairs (m,n)(m,n) of nonnegative integers for which m2+2⋅3n=m(2n+1−1).m^2 + 2 \cdot 3^n = m\left(2^{n+1} - 1\right). [i]
Plain-text mathematical notation (without MathML)
Find all pairs (m,n) of nonnegative integers for which m²+2⋅3^(n)=m(2^(n+1)−1).

[i]
Original LaTeX notation
Find all pairs $(m,n)$ of nonnegative integers for which \[m^2 + 2 \cdot 3^n = m\left(2^{n+1} - 1\right).\]

[i]

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Source and history

task_id
89f78301-0691-5992-a17c-8e8d042a8297
task_key
test--89f78301-0691-5992-a17c-8e8d042a8297
task_revision_id
1
config / split
/ test

Official source

initial import