Prove that there is at least one Friday the 13th in some month during each year.
Prove that there are at most three Friday the 13ths any given year.
Fox news reported on January 13th 2012 that there are three months in 2012 with Friday the 13th. Correct. We will have a Friday 13th in April 2012 and again in July 2012.
What is the next year for which we will have 3 months with a Friday 15th? Fox News claimed it was 2040. Are they correct?
Joe Hooten, Professor Emeritus at the University of Georgia, observed that in 1998 both February and March have a Friday the 13th. That is, there is a Friday the 13th in two consecutive months.
In what year will this occur again?
Is there a cycle that can be specified for determining the years in which there will be two consecutive months with Friday the 13th?