MathDB
Problem 2 of First round

Source: XI International Festival of Young Mathematicians Sozopol 2022, Theme for 11-12 grade

September 9, 2022
algebra

Problem Statement

Does there exist a solution in integers for the equation
a2+b2+c2+d2+e2=abcdeāˆ’78a^2+b^2+c^2+d^2+e^2=abcde-78
where a,b,c,d,e>2022a,b,c,d,e>2022?
Back to ProblemsView on AoPS