So lets see what happens to the output of the 317 as a function of R1 and the load current.
I make R2 = 3*R1 so as to try to make the 317 put out a nominal 5V.
There are two traces, the Red one is the voltage out with a 100mA load, and the Blue one is with no (1GigaΩ) load, both plotted as a function of R1. Note that for values of R1 above 1.2K, the voltage rises if the load is switched off.
So Scrooge, for values of R1 around 200Ω, do you really think it matters if R1 = 200Ω, 220Ω, or 240Ω??? Especially, if R2 is a pot that you are going to tweak to get the exact voltage you want out.