We haven't determined whether the number of solutions to certain simple equations in whole numbers is always finite or sometimes infinite.
open
Global / Unspecified, Global
Many Diophantine equations, which ask for whole-number solutions, resist any general method for predicting how many solutions exist. Solving specific cases has taken decades and earned major mathematical prizes.
Citation ID: WS01232
Title: We haven't determined whether the number of solutions to certain simple equations in whole numbers is always finite or sometimes infinite.
URL: https://worldsolve.org/index.php?api=problem&id=1232