Determine all possible triplets (A,B,C) of positive integers with A ≤ B ≤ C that satisfy this system of equations:
A = P(B)+ P(C), B = P(A) + P(C), and C = P(A) + P(B)
Prove that there are no others.
No Solution Yet  Submitted by K Sengupta 
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re: results so far, but no proof in sight 

(In reply to results so far, but no proof in sight by Charlie)
BTW, the only thought I had on a proof would be to check all possibilities up to a certain total, but the only way to make that total work would be to have it really high, like a 12digit number.
Posted by Charlie on 20130804 12:55:17 