How can you get a list of generated random nearest points given integer x,y coordinates?

Question

Mathematics

Tell me such an algorithm, where I enter an integer coordinate x, y, + some settings (such as density, maximum distance) as input and get a list of points (coordinate of 2 integers) closest to this one, let's say closer than at a distance of 100. If i want to get x+1, y from this point all points should be in the same places. If you generate in advance, then there are no questions, but I would like nothing but x, y not to be input