Triples of sixth powers with equal sums
1976
The diophantine equation x6+ y6 + z6 = u6 + v6 + w6 is shown to have a two-parameter solution which is homogeneous of degree four. The solution also satisfies x2+ y2+ z2 = u2 + v2+ w2; and in addition, 3x + y + z = 3u +
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