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Question: Just for fun: Partition problem for a number

Question:Just for fun: Partition problem for a number

Alfred_F 625 Maple
diophantine_equation inequality numbrix-puzzle
13 minutes ago
0

Determine the smallest positive integer that is the sum of six distinct positive integers, such that the sum of any selection of five of the six summands is a distinct square number.

(Solution without brute force, please ;-) )
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