21 Feb
2012
21 Feb
'12
8:26 p.m.
ok, found an example with k=6: {-241,-281,0,0,+218,+241}, {-266,-143,-120,+120,+143,+266} where note 218^4 + 241^4 = 5631933137 = 120^4 + 143^4 + 266^4 218^2 + 241^2 = 105605 = 120^2 + 143^2 + 266^2 and the sums of 1st and 3rd powers of course are 0 by odd symmetry.