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Trying to reach a Pythagorean triplet (Posted on 2017-02-12) Difficulty: 3 of 5
Choose an arbitrary triplet of positive integers.
Replace two integers by their sum and product, leaving the 3rd unchanged.
Lets call the above operation TPS.

Starting with (3,4,5) and applying continuously TPS is it possible to finally create a Pythagorean triplet?
Either prove the impossibility of doing it or show the chain of transformations creating such a triplet.

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
solutionxdog2017-02-13 10:36:36
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