Wash the potatoes thoroughly and peel them.
Cut the potatoes into large pieces and boil them in boiling water.
Drain the boiled potatoes and mash them.
Thinly slice cucumber and carrot, sprinkle with salt, let sit, then squeeze out excess water.
Chop the hard-boiled eggs.
Add cucumber, carrot, eggs, mayonnaise, salt, and pepper to the mashed potatoes and mix well.
Transfer to a plate to finish.