# On a coloring conjecture about unit fractions

```@article{Croot2003OnAC,
title={On a coloring conjecture about unit fractions},
author={Ernie Croot},
journal={Annals of Mathematics},
year={2003},
volume={157},
pages={545-556}
}```
• Ernie Croot
• Published 2003
• Mathematics
• Annals of Mathematics
We prove an old conjecture of Erdos and Graham on sums of unit fractions: There exists a constant b > 0 such that if we r-color the integers in [2, br]: then there exists a monochromatic set S such that neS 1/n-1.
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