Everyone’s heard of the Pythagorean theorem:

X^2 + Y^2 + Z^2 (ex. 3^2 + 4^2 = 5^2…9+16=25)

The solution is a whole number…not a fraction or decimal;

this is an important point in my question.

Once, while doodling around, I discovered:

3^3 + 4^3 + 5^3 = 6^3…27+64+125=216

Unfortunately, taken to the next level:

3^4 + 4^4 + 5^4 + 6^4 DOES NOT = 7^4

Does anyone know of a solution to:

A^4 + B^4 + C^4 + D^4 = E^4,

where A,B,C,D,and E are whole numbers?

(Drink ice water to prevent encephalic combustion)