# 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} }

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.

## 15 Citations

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