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To: Valkyrie who wrote (41327)	10/4/1999 9:24:00 AM
From: Fred C. Dobbs	Read Replies (1) \| Respond to of 43774

Great puzzle. Everyone must be working on it. Sure did shut the board down.

To: Valkyrie who wrote (41327)	12/1/1999 3:20:00 AM
From: ISOMAN	Read Replies (2) \| Respond to of 43774

as i said, this is not a trick question...there are four (and only 4) numbers that will add AND multiply and give you 7.11... How come no one ever answered this? I have the answer... Should I post it publicly? this is the algorithm you use to find the answer: 1.Choose the next natural number K > 0; if K > 711/4, stop. 2.If K divides 711 000 000, go to 3, otherwise go to 1. 3.Choose the next natural number L greater than or equal to K; if L > (711-K)/3, go to 1. 4.If L divides 711 000 000/K, go to 5, otherwise go to 3. 5.Choose the next natural number M greater than or equal to L; if M > (711-K-L)/2, go to 3. 6.If M divides 711 000 000/(KL), go to 7, otherwise go to 5. 7.If 711 000 000/(KLM) = 711-K-L-M,$ then the quadruple (K,L,M,N) with N=711-K-L-M is a solution. 8.Go to 5.