I ended up doing it in 4 colours, I didn't have the mental or physical energy left after getting the grid filled to see whether it could be done in 3......in a perverse sort of way I quite enjoyed this, took me back to O-level maths.!
I tried the nets today, couldn't fit the 11th. One net is just 2 columns wide. Does that go in the NE or SW corner? Does the T go on its side at the top? Please
Noooo! So near yet so far... I have clearly gone wrong as the last digit I thought I needed to enter is the unchecked cell in 1ac... but it doesn't give a prime :(
back to the drawing board and a lot of checking to redo...