Does not look as if I am going to get any takers. This will be the first time. Well I thought it is a good technique for finding the day of the week for a given date, useful for those times when you do not have a computer or calendar handy. The pattern for months with 30 days and months with 31 days is that they alternate, except for July and August, which both have 31 days. Even with this exception, it is still the case that for each even numbered month and the following month, one will have 30 days and the other will have 31 days. As an example, the number of days from 4/4 to 5/4 is 30, because April has 30 days. The number of days from 5/4 to 6/4 is 31, because May has 31 days. So the number of days from 4/4/ to 6/6 is 30 + 31 + 2 = 63, which is divisible by 7, and so fall on the same day of the week. The story for the allocation of days for each month, which is apocryphal, is that even numbered months originally all had 30 days and odd numbered months 31 days, except for February, which only had 30 days in a leap year. Think of how easy this would make things. Even months would have 30 days, easy to remember because 30 is even and odd numbered months would all have 31 days. July was named for Julius Caesar and August for Augustus Caesar (this is the only part of the story that is true). July had 31 days, but August only had 30. Augustus felt slighted and grabbed a day from February and added it to August and then rearranged the months after August so that they agian alternated between 30 and 31 days. As to why the months are given the number of days they have, I would guess that it is no coincidence that February is the coldest month of the year and August the warmest. Someone decided that it was best to have more days in a summer month and fewer in a winter month.