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Maximizing products (Posted on 2024-03-26) Difficulty: 3 of 5
What set of positive integers with sum 2024 has highest possible product?
Same question for 2025.
What is the highest product in this century?

Inspired by: Putnam 1979

No Solution Yet Submitted by Ady TZIDON    
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Some Thoughts Puzzle thoughts Comment 5 of 5 |
Sum of the set       Maximal product of the set
2024                             2* 3^774
2025                             3^775
2099                             2*3^699
2100                             3^670

  Posted by K Sengupta on 2024-03-26 23:27:26
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