What is the shortest wavelength present in the Paschen series of spectral lines?

Rydberg’s formula is given as:

hc /λ  = 21.76 x 10⁻¹⁹ [1/n²₁  -1/n²₂]

Where,

h = Planck’s constant = 6.6 x 10⁻³⁴ Js and c = Speed of light = 3 x 10⁸ m/s. (n₁ and n₂ are integers)

The shortest wavelength present in the Paschen series of the spectral lines is given for values n₁=3 and n₂=∝

hc /λ  = 21.76 x 10⁻¹⁹ [1/(3)²  -1/(∝) ²]

λ = (6.6 x 10⁻³⁴ ) x (3 x 10⁸) x 9 ]/( 21.76 x 10⁻¹⁹)

= 8.189 x 10⁻⁷m = 818.9 nn