Abstract
We prove an old conjecture of Erdős and Graham on sums of unit fractions: There exists a constant $b>0$ such that if we $r$-color the integers in $[2,b^r]$, then there exists a monochromatic set $S$ such that $\sum_{n \in S} 1/n = 1$.
We prove an old conjecture of Erdős and Graham on sums of unit fractions: There exists a constant $b>0$ such that if we $r$-color the integers in $[2,b^r]$, then there exists a monochromatic set $S$ such that $\sum_{n \in S} 1/n = 1$.
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