The spectral lines are grouped into series according to n' :
$n\text{'}$  Series name 
1  Lyman series

2  Balmer series

3  Paschen series

4  Brackett series

5  Pfund series

6  Humphreys series 
Lyman series  Balmer series  
$n$  λ (nm)  $n$  λ (nm)  
2  122  3  656
 
3  103  4  486
 
4  97.2  5  434
 
5  94.9  6  410
 
6  93.7  7  397
 
$infty$  91.1  $infty$  365 
Paschen series  Brackett series  
$n$  λ (nm)  $n$  λ (nm)  
4  1870  5  4050
 
5  1280  6  2630
 
6  1090  7  2170
 
7  1000  8  1940
 
8  954  9  1820
 
$infty$  820  $infty$  1460 
Pfund series  Humphreys series  
$n$  λ (nm)  $n$  λ (nm)  
6  7460  7  12372
 
7  4650  8  7503
 
8  3740  10  5129
 
9  3300  11  4673
 
10  3040  13  4171
 
$infty$  2280  $infty$  3282 
Hydrogen is the element with the simplesttoanalyze emission spectrum. All other atoms possess at least two electrons in their unionized form and the interactions between these electrons makes analysis of the spectrum by such simple methods as described here impractical. The deduction of the Rydberg formula was a major step in physics, but it was long before an extension to the spectra of other elements could be accomplished.