A nice question by Michael Hardy, How many rearrangements must fail to alter the value of a sum before you conclude that none do?How many rearrangements must fail to alter the value of a sum before you conclude that none do?, led to a recent 6-author collaboration, 5 or 6 of whom are MO patrons if I'm not mistaken.
- A. Blass, J. Brendle, W. Brian, J.D. Hamkins, M. Hardy, and P.B. Larson, The rearrangement number (manuscript under review).
See also this answer by Joel David Hamkins, http://mathoverflow.net/a/214779/2926https://mathoverflow.net/a/214779/2926, for more information. Please update this answer, Joel David, when this is published in a journal!