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The values of A, B, C are guided by the equation
. We only need to consider i) odd values for B and even values for C, and
ii) even values for B and even values for C.
Only 3 ordered triples (A, B, C)will satisfy the constraint equation above:
(2,6,4), (1,3,2), and (3,9, 6). Therefore the largest n is 396.