Mathematics – Number Theory
Scientific paper
2010-10-11
Mathematics
Number Theory
13 pages. Summit to a journal
Scientific paper
We give a formula for the number of decompositions of an Egyptian fraction as
sum of two Egyptian fractions and find a polynomial whose values at nonnegative
integers satisfy the Erd\"os-Straus Conjecture. We conjecture that these values
include all the prime numbers of the form $4q+5$, which is checked up to
$10^{10}$, however the perfect squares are not covered by these values.
Bello-Hernández Manuel
Benito Manuel
Fernández Emilio
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