{"schema":"vela.problem-packet.v0.1","problem":469,"statement":"Let $A$ be the set of all $n$ such that $n=d_1+\\cdots+d_k$ with $d_i$ distinct proper divisors of $n$, but this is not true for any $m\\mid n$ with $m<n$. Does\\[\\sum_{n\\in A}\\frac{1}{n}\\]converge?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A006036","name":"Primitive pseudoperfect numbers.","terms":"6,20,28,88,104,272,304,350,368,464,490,496,550,572,650,748,770,910,945,1184,1190,1312,1330,1376,1430,1504,1575,1610,1696","url":"https://oeis.org/A006036"},{"id":"A119425","name":"Primitive terms of the sequence A119357, i.e., of the sequence of those values of n for which the number of distinct nonzero sums of distinct divisors of n is less than 2^tau(n) - 1.","terms":"6,20,28,45,63,70,88,99,104,105,110,117,130,154,165,170,182,195,231,238,255,266,272,273,285,286,304,322,345,357,368,374,3","url":"https://oeis.org/A119425"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}