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The Sierpinski's conjecture states that for all integer $n>1$, we have $\frac{5}{n}=\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$ where $(a,b,c) \in \mathbb{N}_*^3$.

But is it easier to prove that $\frac{5}{n}=\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{d}$ ?

Thanks,

B.L.

  • 0
    Is there some motivation for this problem?2011-08-11
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    Here is a relevant link: http://kevingong.com/Math/EgyptianFractions.pdf . The 5/n problem is briefly discussed on page 34.2011-08-11
  • 0
    @Doug, that reference has no relevance to the question blaaang is asking.2011-08-12
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    +1 for @Doug for providing an interesting document, albeit at the irrelevant place.^^ At least from the point of view to solve the problem, we need not this document to back it up.2011-08-21

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