Warm the milk in a saucepan (careful it's not too hot!) and add it to a mixing bowl along with a couple of tablespoons of the sugar and 2 ¼ tablespoons of active dry yeast.
Stir together until everything has fully dissolved and leave to proof for 5 -10 minutes until bubbles start to form on the surface.
Meanwhile, in a separate bowl combine the melted butter, egg, sugar and saffron milk. Add a pinch of salt for flavor and start gradually incorporating the flour 1 cup at a time, incorporating well between additions.
Knead the resulting dough onto a lightly floured surface for about 5 minutes, adjusting the consistency with more flour if necessary until you get a smooth and elastic dough that doesn't stick to the hands.
Place the dough into a clean and lightly greased bowl, cover with a damp kitchen cloth or plastic wrap to keep the dough moist and let it double in size in a warm spot in the kitchen for 1 - 1 ½ hours.
After doubling, knead the dough for a minute to deflate and take out handfuls of dough at a time. Roll between your hands to shape into a ball.
Roll out your dough ball onto a floured surface into 12-inch (30 cm) long ropes, about the width of a finger.
Coil each end of the rope in a spiral (each going in the opposite direction from the other to form the traditional "scrolled" S-shaped Lussekatter.
Place the finished buns on a tray lined with parchment paper. Repeat the process until you use up all the dough.
Drain the raisins and dry them on a piece of kitchen paper. Add one in the middle of each spiral of the bun.
Cover the buns in a damp tea towel and place them in a warm and draft-free place to rise for about 30 minutes.
When it's almost time to bake them, preheat your oven to 425° F/ 220° C.
Beat the egg set aside for the egg wash, adding a few drops of water to loosen it a little and brush the mixture on the buns.
Place in the oven and bake the buns for 8-10 min minutes, until beautifully golden-brown.
Take out of the oven and place on a wire rack to cool a little before eating. Enjoy warm or cold, preferably within 3 days of making them!