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Non-Multiples (Posted on 2009-02-10) Difficulty: 3 of 5
Choose 25 different positive integers no higher than fifty, such that none is a multiple of any of the others. What's the lowest total possible, and what's the set? (Note one such set would be 26 through 50 inclusive; however that set totals 950.)

See The Solution Submitted by Charlie    
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Solution Puzzle Solution Comment 4 of 4 |
The required twenty-five distinct positive integers in conformity with the provisions governing the puzzle under reference are:

8|12|14|17|18|19|20|21|22|23|25|26|27|29|30|31|33|35|37|39|41|43|45|47|49
for a total of 711.

Edited on December 14, 2023, 11:13 pm
  Posted by K Sengupta on 2022-05-19 23:04:02

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