The birthday problem asks How many randomly selected people must there be in a room in order for the probability that two people share a birthday to exceed 05 and has the wellknown answer 23 The following generalizations are illustrated here along with answers 1 The probability of 05 can be replaced by any value from 001 to 099 in increments of 001 2 The number of days in a year can be any value from 2 through 5000 for the convenience of extraterrestrials 3 The question How many randomly selected people must there be in a room in order for the probability that two people share a birthday or have birthdays on consecutive days to exceed 05 is investigated Any combination of these generalizations can be used simultaneously