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 Factor distribution in a school (Posted on 2019-11-13)
In a school, each student is assigned a positive factor of 6060, but no student's number is the greatest common divisor of any two student numbers (one of which may be their own).

What is the maximum number of students in this school?

 No Solution Yet Submitted by Danish Ahmed Khan No Rating

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 re(2): maybe a soln..... Comment 3 of 3 |
(In reply to re: maybe a soln..... by Charlie)

To Charlie: Right on both counts. I see now what I did was only a start. Thanks.

We search for the maximum size set of 3-tuples such that the floor taken pairwise of any two does not equal the elements of a third, and, as I stated before, the pairwise floor is set by at least one element of each.

I wonder: does one try to populate such a set from the bottom up or the top down?

Edited on November 13, 2019, 8:10 pm
 Posted by Steven Lord on 2019-11-13 15:34:32

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