Egyptian fraction representation of $1$ where all denominators of the fractions are odd. Question: Is there an Egyptian fraction representation for $1$ where all the fractions have odd denominators?
I tried to generate one below:
$$\frac{1}{3}+\frac{1}{5}+\frac{1}{7}+\frac{1}{9}+\frac{1}{11}+\frac{1}{13}+\frac{1}{23}+\frac{1}{721}+\frac{109}{106711605}.$$
The last term can be further decomposed to: $$\frac{1}{979007}+\frac{158}{1.04471\cdot 10^{14}}.$$
or, it is impossible for any collection of $\frac{1}{n}$ where $n$ is odd to produce $1$?

Technique: Find an odd abundant number--more precisely, an odd semi-perfect number:  ($945$ is the smallest).
Write it as a sum of its factors: $945=315+189+135+105+63+45+35+27+21+7+3$.
Then divide this equation by the original number: $945$, keeping the terms on the right separated:
$1=\frac13+\frac15+\frac17+\frac19+\frac{1}{15}+\frac{1}{21}+\frac{1}{27}+\frac{1}{35}+\frac{1}{45}+\frac{1}{135}+\frac{1}{315}$
