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erdős #292

← #291 · #293 → (packet.json; erdosproblems.com)

Let $A$ be the set of $n \in N$ such that there exist $1 \leq m_{1} < \dots < m_{k} = n$ with $\sum \frac{1}{m _{i}} = 1$ . Explore $A$ . In particular, does $A$ have density $1$ ?

Worked, still open.

number theory · solved · 0 attempts

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A092671 — Numbers n such that there exists a solution to the equation 1 = 1/x_1 + ... + 1/x_k (for any k), 0 < x_1 < ... < x_k = n.1,6,12,15,18,20,24,28,30,33,35,36,40,42,45,48,52,54,55,56,60,63,65,66,70,72,75,76,77,78,80,84,85,88,90,91,95,96,99,100,1

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solved

finding.noted · reviewer:will-blair · 1 day

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