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.)
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