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)