 For example, in the Pythagorean triple 3, 4 and 5 (formula_2), if 3 and 4 are colored red, then 5 must be colored blue.Marijn Heule, Oliver Kullmann and Victor W. Marek investigated the problem, and showed that such a coloring is only possible up to the number 7824.The actual statement of the theorem proved is
There are possible coloring combinations for the numbers up to 7825.