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)
As of this morning the program has gotten to a+b=539435 without finding a fourth solution.
Posted by Charlie on 20130805 09:50:41 