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Playing the B on the A string and the fifth above it (which is 1.5 times it's frequency) gives you a difference frequency that is one octave below the B. It's nowhere near as solid as having a 5 string, but it's something. Playing the B on the A string with a fifth below (the open E string) gives you a difference frequency that's an octave below the open E. That's not giving you a lower B, it's another note entirely, and it's low enough for a fifth interval that....it'll sound like poo.
Google "Low interval limits" for more education on why this is a bad idea - Low interval limits is a "rule" that's observationally based (call it a "strong suggestion"), but there is a lot of history behind it - it's a really good guideline about where to stop playing certain intervals as you go down in frequency.
I play everything on a 5 string. All the 5 string songs work, as do all the 4 string songs. One bass to do it all. And one backup bass that can do it all.