13 Nov
2012
13 Nov
'12
9:20 p.m.
Fourth power counterexample: 95800^4 + 217519^4 + 414560^4 = 422481^4 . Not sure if this is Noam Elkies's counterexample or a minimal fourth power counterexample found later. On 11/12/2012 8:14 AM, Christian Boyer wrote:
Counterexample found by Lander & Parkin in 1966: 27^5 + 84^5 + 110^5 + 133^5 = 144^5
http://en.wikipedia.org/wiki/Euler%27s_sum_of_powers_conjecture http://mathworld.wolfram.com/EulersSumofPowersConjecture.html http://euler.free.fr/index.htm
Christian.