number-theory / Number theory

The Erdos-Graham Semiprime Unit Fraction Problem

Every natural number is a finite sum of distinct unit fractions whose denominators are semiprimes. This is the $\omega = 2$ integer case of a problem of Erdos and Graham, left as a conjecture by Butler, Erdos and Graham, who proved the $\omega = 3$ analogue.

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Every natural number is a finite sum of distinct unit fractions whose denominators are semiprimes. This is the $\omega = 2$ integer case of a problem of Erdos and Graham, left as a conjecture by Butler, Erdos and Graham, who proved the $\omega = 3$ analogue.

the omega = 2 integer case, the one Butler, Erdos and Graham left open

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