Find all natural $m,n$ such that:
$$2^n+n=m!$$
I think the first $m$ factors to be discussed.
2026-04-09 10:11:45.1775729505
Find all solutions to $2^n+n=m!$.
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Hint: How many factors 2 does $m!$ have?
Is it for large $m$ possible that $2^n+n$ has the same number of factors 2 as $m!$?