{3,3,3,3,3,3} is a set of six integers such that the sum of the squares of the reciprocals totals 2/3.
(1/3)^2 + (1/3)^2 + (1/3)^2 + (1/3)^2 + (1/3)^2 + (1/3)^2 = 2/3

Does there exist a set of integers with fewer than 6 members whose sum of the squares of the reciprocals totals 2/3?

Problem inspired by Find the triplets

(In reply to re: Here is another... No computer used this time. by Charlie)

Right. I should have said 5 integers, i, squared with 0 < i <= 15 to leave it a p&p problem.

Edited on August 26, 2020, 4:23 pm

Posted by Steven Lord on 2020-08-26 11:29:12