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Four Egyptian Fractions (Posted on 2013-11-13)

Find positive integer solutions to the equation 1/a + 1/b + 1/c + 1/d = 1
(a ≤ b ≤ c ≤ d). How many solutions exist?

No Solution Yet Submitted by Danish Ahmed Khan

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typos and omissions

| Comment 4 of 6 |

(In reply to analytical solution by Daniel)

Those solutions beginning (2,2,_,_) should read (2,3,_,_).

I found these additional solutions:

(2,4,5,20)

(2,4,6,12)

(2,4,8,8)

(2,5,5,10)

(2,6,6,6)

Posted by xdog on 2013-11-13 12:27:05

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