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Additively Quadratic (Posted on 2008-04-19) Difficulty: 3 of 5
Determine all possible positive integer triplet(s) (F, G, H) such that each of F and G is a prime with FG, and:

F(F+3) + G(G+3) = H(H+3)

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

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re: Analytic solution | Comment 3 of 6 |
(In reply to Analytic solution by FrankM)

F=7, G=3, H=8    and

F=3, G=2, H=4

are the only solutions (apart from switching F and G).

Actually, the switched ones are the only ones, as the puzzle asks for F <= G

  Posted by Charlie on 2008-04-19 17:50:58
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