The connection between the wavelength and the atom level

In my textbook it said the following:

Photons with wavelengths in the spectral range of $[94mathrm{ nm},104mathrm{ nm}]$, interact the hydrogen atom in the basic state. Photons having those wavelengths can stimulate the hydrogen atom to $n=3,4,5$ levels.

I’m trying to figure out why it’s true. Given some wavelength $lambda$, how can I know which level it can get?

I’m familiar with the Rydberg formula:
$$
frac{1}{lambda_{mto n}}=Rcdotleft(frac{1}{n^2}-frac{1}{m^2}right)
$$
where $m>n$ and $R=1.097cdot10^7 mathrm{m}^{-1}$. But because there are two values $n,m$, I’m struggling to figure out a sophisticated way to find the levels. I could just insert $lambda=94mathrm{ nm}$ and check for each $n$ it’s $m$‘s but it sounds like not so much a sophisticated way. Is there a better way?