We haven't proven whether it's possible to fully determine, using a finite number of steps, whether any given mathematical pattern will repeat forever or never repeat at all.
open
Global / Unspecified, Global
Some sequences defy simple prediction of long-term periodicity, and a fully general and efficient method for determining this in every possible case remains unresolved. This connects number theory with computability theory.
Citation ID: WS01327
Title: We haven't proven whether it's possible to fully determine, using a finite number of steps, whether any given mathematical pattern will repeat forever or never repeat at all.
URL: https://www.worldsolve.org/index.php?api=problem&id=1327