We still haven't proven whether every finite list of numbers can always be rearranged into a sequence where every partial sum avoids a specific forbidden value.
open
Mathematics & Logic
Combinatorial arrangement problems like this remain surprisingly resistant to full general solutions despite their simple appearance. This connects recreational mathematics with deeper unresolved questions in combinatorics.
Team Humans Club. (2026). Problem WS01309: We still haven't proven whether every finite list of numbers can always be rearranged into a sequence where every partial sum avoids a specific forbidden value.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1309