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Reciprocal Equation #2 (Posted on 2003-07-20) Difficulty: 3 of 5
Find all sets of positive integers A, B, and C which satisfy

1/A = 1/B + 1/C.

See The Solution Submitted by Brian Smith    
Rating: 3.4000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Pattern (re: hmmm...) | Comment 4 of 15 |
(In reply to Pattern (re: hmmm...) by TomM)

The algorithm at the end of my last reply generates all triples that satisfy the initial equation, including triples that Charlie weeded out because they are multiples of other triples (4,2,2) or because c < b (2,6,3). To weed these out, add steps
1A) If c < b return to step 1)
2A) If d > 1 return to step 1)
  Posted by TomM on 2003-07-20 07:15:11

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