{"schema":"vela.problem-packet.v0.1","problem":421,"statement":"Is there a sequence $1\\leq d_1<d_2<\\cdots$ with density $1$ such that all products $\\prod_{u\\leq i\\leq v}d_i$ are distinct?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A389544","name":"a(n) is the smallest integer greater than a(n-1) such that all consecutive products in a(1)..a(n) are distinct, with a(1) = 2.","terms":"2,3,4,5,7,8,9,10,11,13,14,15,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,5","url":"https://oeis.org/A389544"},{"id":"A390848","name":"Complement of A389544.","terms":"1,6,12,16,20,24,35,56,60,72,90,110,120,140,143,182,210,255,280,306,342,352,399,420,462,504,506,575,650,702,715,720,756,8","url":"https://oeis.org/A390848"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}