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Sierpinski Erdős egyptian fraction conjecture (Conjecture)

Erdos and Sierpinski conjectured that for any integer $ n>3 $ there exist positive integers $a,b,c $ so that: $$ \frac{5}{n} = \frac{1}{a} + \frac{1}{b} + \frac{1}{c} $$




"Sierpinski Erdős egyptian fraction conjecture" is owned by CWoo. [ full author list (2) | owner history (1) ]
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See Also: unit fraction, conjecture on fractions with odd denominators

Other names:  Sierpiński Erdős egyptian fraction conjecture
Keywords:  egyptian fraction
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Cross-references: positive, integer

This is version 5 of Sierpinski Erdős egyptian fraction conjecture, born on 2003-06-26, modified 2007-08-10.
Object id is 4403, canonical name is SierpinskiErdosEgyptianFractionConjecture.
Accessed 2690 times total.

Classification:
AMS MSC11A67 (Number theory :: Elementary number theory :: Other representations)
 11D68 (Number theory :: Diophantine equations :: Rational numbers as sums of fractions)

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