Pour 3.5 liters of water over the peas and cook for 40 minutes over medium heat.
While the peas are cooking, prepare the vegetables. Dice the potatoes, finely chop the onion, grate the carrots on a coarse grater and chop the fresh parsley.
In a frying pan heated with olive oil, fry the onion and carrot. Add seasonings to the frying, stir and fry for another 2-3 minutes.
Add the sautéed peas, potatoes, salt and pepper to taste. Stir and cook for 15 minutes.
Blend the finished pea soup with an immersion blender until smooth and serve.