Three is the Loneliest Number

Normal sudoku rules apply. Thermometers are strictly increasing from bulb to tip (standard thermo constraint). Numbers outside the grid indicate the sum of the digits between 1 and 9 in that row or column (standard sandwich sum constraint). Some sandwich sums are indicated by dashes and you must determine their value. However, each sandwich sum (whether indicated by a value or a dash) is a distinct prime number and those values increase from top to bottom and from left to right. Cells separated by a black dot are in a 3:1 ratio. Not all black dots in the grid are indicated.