The irregularity of distributions problem, stated first by Hugo Steinhaus, is a numerical problem with a surprising result. The problem is to find N numbers, , all between 0 and 1, for which the following conditions hold:The first two numbers must be in different halves. The first 3 numbers must be in different thirds. The first 4 numbers must be in different fourths. The first 5 numbers must be in different fifths. etc.