Stacking fifths from F gives us a sequence:
F - C - G - D - A - E - B - F
This sequence is called the circle of fifths. It forms seven Gregorian modes. But the last interval in it is the diminished fifth. So the circle is not complete.
We need to keep stacking to get the full circle of fifths:
F - C - G - D - A - E - B - F♯/G♭ - C♯/D♭ - G♯/A♭ - D♯/E♭ - A♯/B♭ - F
Let's take a look at the end of the sequence. Technically, A♯ and B♭ are equal pitches with the same frequency. The note name and the accidental sign depend on the start note and direction of movement. A♯ is the ascending fifth from D♯. B♭ - the descending fifth from F.