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Omni-MATH / Let T_(n) denotes the least natural such that

Problem

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problem

Let TnT_n denotes the least natural such that n∣1+2+3+⋯+Tn=∑i=1Tnin\mid 1+2+3+\cdots +T_n=\sum_{i=1}^{T_n} i Find all naturals mm such that m≥Tmm\ge T_m.
Plain-text mathematical notation (without MathML)
Let T_(n) denotes the least natural such that 
n∣1+2+3+⋯+T_(n)=∑_(i=1)^(T_(n))i
Find all naturals m such that m≥T_(m).
Original LaTeX notation
Let $T_n$ denotes the least natural such that 
$$n\mid 1+2+3+\cdots +T_n=\sum_{i=1}^{T_n} i$$
Find all naturals $m$ such that $m\ge T_m$.

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Source and history

task_id
c3dc0f60-e40e-5176-9874-192ef7c5ab6b
task_key
test--c3dc0f60-e40e-5176-9874-192ef7c5ab6b
task_revision_id
1
config / split
/ test

Official source

initial import