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MR1134725 (93a:11023) 11D41 (11Y50)
Delorme, Jean-Joël On the Diophantine equation $x\sp 6\sb 1+x\sp 6\sb 2+x\sp 6\sb 3=y\sp 6\sb 1+y\sp 6\sb 2+y\sp 6\sb 3$. Math. Comp. 59 (1992), no. 200, 703–715.
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