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Are there infinitely many solutions to \[\frac{1}{p_1}+\cdots+\frac{1}{p_k}=1-\frac{1}{m},\] where $m\geq 2$ is an integer and $p_1<\cdots<p_k$ are distinct primes?
#313
:
[ErGr80]
number theory
,
unit fractions
For example, \[\frac{1}{2}+\frac{1}{3}=1-\frac{1}{6}.\]
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