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Square Reciprocal Summation (Posted on 2020-08-25) Difficulty: 3 of 5
{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

No Solution Yet Submitted by Brian Smith    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Here is another... No computer used this time.Steven Lord2020-08-26 11:29:12
re: Here is another... No computer used this time.Charlie2020-08-26 07:13:04
Here is another... No computer used this time.Steven Lord2020-08-25 11:44:21
SolutionUBASIC solutionCharlie2020-08-25 11:22:20
solnSteven Lord2020-08-25 09:56:07
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