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Why 5 Fridays, 5 Saturdays and 5 Sundays don’t occur every 823 years

The Truth is…

The first three weekdays of any 31-day month are repeated 5 times within that month. So, any month that has 31 days and begins on a Friday has 5 Fridays, 5 Saturdays, and 5 Sundays. And this happens much more often than every 823 years.

Have a look at our calendars and take it to the test!

Illustration image

Proof in cold print: July 2011 and July 2834 are not even the same.

Repeating Calendars

The next time that the 2011 calendar repeats itself is in the year 2022, which is only 11 years later. What’s more, a calendar month that contains 5 Fridays, 5 Saturdays and 5 Sundays occurs nearly every year: Both July 2011 and March 2013 have 5 Fridays, Saturdays and Sundays. The next July with same days as July 2011 is July 2016.

It does not repeat after 823 years at all

Even the claim that the year 2834 has the same calendar as the year 2011 is false (see picture).

For instance, July 2011 has 5 Fridays, Saturdays and Sundays. 823 years later, July 2834 has 5 Saturdays, Sundays and Mondays. That is a 5th Monday instead of a 5th Friday.

Variations of the urban myth:

How recurring calendar months work

Every year has 7 months with 31 days. Each of these 7 months has three weekdays of which there are 5. There are 7 different days a month can start on. So on average, over time, each combination happens once yearly. But for each individual year, there are only 6 of 7 combinations, and two 31-day months start on the same weekday.
In a common/regular year, January and October look the same. In a leap year, January and July look the same.

5 of the same day in one month in 2011

Days that occur 5 times, on these dates:
1 / 8 / 15 / 222 / 9 / 16 / 233 / 10 / 17 / 24
31 day month29th of month30th of month31st of monthComments
January 20115 Saturdays5 Sundays5 MondaysSame as October
March 20115 Tuesdays5 Wednesdays5 Thursdays
May 20115 Sundays5 Mondays5 Tuesdays
July 20115 Fridays5 Saturdays5 Sundays
August 20115 Mondays5 Tuesdays5 Wednesdays
October 20115 Saturdays5 Sundays5 MondaysSame as January
December 20115 Thursdays5 Fridays5 Saturdays
Not occurring in 2011: A month with 5 Wednesdays, 5 Thursdays, 5 Fridays

5 of the same day in one month in 2012

Days that occur 5 times, on these dates:
1 / 8 / 15 / 222 / 9 / 16 / 233 / 10 / 17 / 24
31 day month29th of month30th of month31st of monthComments
January 20125 Sundays5 Mondays5 TuesdaysSame as July
March 20125 Thursdays5 Fridays5 Saturdays
May 20125 Tuesdays5 Wednesdays5 Thursdays
July 20125 Sundays5 Mondays5 TuesdaysSame as January
August 20125 Wednesdays5 Thursdays5 Fridays
October 20125 Mondays5 Tuesdays5 Wednesdays
December 20125 Saturdays5 Sundays5 Mondays
Not occurring in 2012: A month with 5 Fridays, 5 Saturdays, 5 Sundays

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