Why sodium, potium and hydrogen ions can never form a precipitate ?

Sodium and Potium are both group 1 metals and, according to the solubility rules, are always soluble, and therefore can never form a precipitate (because even if they did it would just dissolve in the solution and not be visible). And a hydrogen ion can never form a precipitate because what would the formula for that precipitate be? Ions by themselves are not visible (You can't see H+ floating around, or H2 for that matter because it is a colorless gas). If Hydrogen did react with anything it would either form water (not a precipitate) or an acid (e.g. HCl, HNO3, H2SO4) which again, are not precipitates and wouldn't be visible.