On the Erdos-Straus conjecture

Mathematics – Number Theory

Scientific paper

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9 pages, no figures

Scientific paper

Paul Erdos conjectured that for every n in N, n>1, there exist a, b, c
natural numbers, not necessarily distinct, so that 4/n=1/a+1/b+1/c (see
\cite{rg}). In this paper we prove an extension of Mordell's theorem and
formulate a conjecture which is stronger than Erdos' conjecture.

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