Paul Erdős's notes on Egyptian fractions are with <A HREF="https://en.wikipedia.org/wiki/Ronald_Graham">Ronald Graham,</A> who has reproduced some of them in <A HREF="http://www.math.ucsd.edu/~ronspubs/13_03_Egyptian.pdf">Paul Erdős and Egyptian Fractions.</A> Graham mentions one unfinished manuscript in which "it is shown that any integer can be represented as a sum of reciprocals of distinct numbers which each have exactly three prime factors". This was only published in 2015, twenty years after his death. As this <A HREF="https://www.simonsfoundation.org/2015/12/10/new-erdos-paper-solves-egyptian-fraction-problem/">commentary</A> aptly notes *"Nearly 20 years after his death, the famed mathematician Paul Erdős keeps on publishing, thanks to the conjectures he left behind and the friends who strive to prove them."*

<IMG SRC="https://ilorentz.org/beenakker/MO/Erdos_1.png"/>