{"schema":"vela.problem-packet.v0.1","problem":292,"statement":"Let $A$ be the set of $n\\in \\mathbb{N}$ such that there exist $1\\leq m_1&#60;\\cdots &#60;m_k=n$ with $\\sum\\tfrac{1}{m_i}=1$. Explore $A$. In particular, does $A$ have density $1$?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A092671","name":"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.","terms":"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","url":"https://oeis.org/A092671"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}