Talk:Set of 3 Integers each Divisor of Sum of Other Two

Added conditions "coprime" and "distinct" in accordance with the analysis. --prime mover (talk) 18:22, 24 April 2020 (EDT)

Connection with unit fractions summing to 1
I wished to show a connection between the sets I have given: {1,1,1}, {1,1,2} and {1,2,3} with Sum of 3 Unit Fractions that equals 1, but I don't have anything concrete at the moment.

A similar pattern can be observed in most Sum of 4 Unit Fractions that equals 1, e.g.

for the set {21,14,6,1}, sum of 3 elements is multiple of the 4th.

They sum to a common multiple, and 1 = 1/2 + 1/3 + 1/7 + 1/42.

except for 1 = 1/3 + 1/4 + 1/4 + 1/6, which cannot be explained by this. RandomUndergrad (talk) 01:44, 25 April 2020 (EDT)


 * An interesting exploration, which goes deeper than what is needed on this page.


 * What you might want to do is to craft a new page for the purpose -- and then use that as the basis of the proof on this page (a simple corollary). Then a number of pages could be conceptually linked.


 * Bear in mind that the only reason this page exists in the first place is as a response to a single line in the Wells book, which is incomplete and inaccurate in the first place. --prime mover (talk) 04:44, 25 April 2020 (EDT)