If you extend that table beyond reason, you get...
Ebb major: 10 bs; Bx2, Ex2, Ax2, D, G, C, F
Bbb major: 9 bs; Bx2, Ex2, A, D, G, C, F
Fb major: 8 bs; Bx2, E, A, D, G, C, F
Cb major: 7 bs; B, E, A, D, G, C, F
Gb major: 6 bs; B, E, A, D, G, C
Db major: 5 bs; B, E, A, D, G
Ab major: 4 bs; B, E, A, D
Eb major: 3 bs; B, E, A
Bb major: 2 bs; B, E
F major: 1 b; B
C major: 0#s or bs
G major: 1 #; F
D major: 2 #s; F, C
A major: 3 #s; F, C, G
E major: 4 #s; F, C, G, D
B major: 5 #s; F, C, G, D, A
F# major: 6 #s; F, C, G, D, A, E
C# major: 7 #s; F, C, G, D, A, E, B
G# major: 8 #s; Fx2, C, G, D, A, E, B
D# major: 9 #s; Fx2, Cx2, G, D, A, E, B
A# major: 10 #s; Fx2, Cx2, Gx2, D, A, E, B
After a point, it all gets a bit academic. There's no real reason to worry about keys that have 8 or more #s or bs. The most you'll normally see is 5.
But you can see the pattern of fifths in there, with the repeated F, C, G, D, A, E, B pattern and its reverse, B, E, A, D, G, C, F (fourths).
I personally don't like the term "circle of fifths", because there's not really any such thing. You have to fudge it with enharmonics to make it circular, at which point one of your fifths is actually a diminished sixth, but what the hell...
The way I was taught to remember the circle of fifths was a mnemonic device:
Father Charles Goes Down And Ends Battle
...which sounds dumb, but it works.
For the fourths, you just say it backwards
Battle Ends And Down Goes Charles Father