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Gerson W. Barbosa · (This post was last modified: 05-10-2015 04:43 PM by Gerson W. Barbosa.)

(05-09-2015 10:50 AM)Gerald H Wrote: The programme should be able to produce at least 5,789,854 different pairs of lists.

Do these include lists with elements equal 0 or repeated elements like {18084, 13782, 2, 2} {2469 11357 8643 17527}, for instance?

{15914 12474 12 2} {2469 17513 8643 4621} is a valid pair, but in order to find it I had to find at least one solution to the equation a² + b² + c² + d² = 102214055 (a = 7957, b = 6237, c = 6, d = 1). I don't know whether the HP-49G CAS has something that solves this. Anyway, I think a much more powerful method is required to solve this quiet challenge of yours. I am looking forward to your (and other's) interesting solutions.

Gerson.