Harvard’s Naom Elkies refutes Euler’s conjecture: there can be integer solutions to the equation x^4 + y^4 + z^4 = w^4. One solution is 2682440^4 + 15365639^4 + 18796760^4 = 20615673^4.
Harvard’s Naom Elkies refutes Euler’s conjecture: there can be integer solutions to the equation x^4 + y^4 + z^4 = w^4. One solution is 2682440^4 + 15365639^4 + 18796760^4 = 20615673^4.