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 |
| No Rating |
re(2): results so far, but no proof in sight
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(In reply to re: results so far, but no proof in sight by Charlie)
The program's been running a couple of days now and has passed a+b=772968 and still hasn't found a fourth set.
| Posted by Charlie on 2013-08-06 10:07:34 |
