5 Fridays, 5 Saturdays, and 5 Sundays in a month? It wake up only when every 823 years! This well-known urban myth has actually been circulating the net for a while. However, it is specifically that: a myth.

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The 823-Year Myth.

Before you gain too excited about this once-in-a-lifetime event and start telling your family and friends, understand this: any such cases are false. Combinations of days like 5 Fridays, 5 Saturdays, and also 5 Sundays take place much much more often than every 823 years!

The 823 years Myth

If girlfriend have an e-mail or a social media account, chances are the you have come across a viral write-up that insurance claims an upcoming month has actually a rare combination of weekdays. Re-publishing it, the blog post states, or beware the some negative luck.

A recent version goes something favor this:

January 2021 has actually 5 Fridays, 5 Saturdays, and also 5 Sundays. This wake up only once every 823 years. The Chinese speak to it “silver pockets full” or "money bags."

The email is partially right. January 2021 does have 5 Fridays, 5 Saturdays, and 5 Sundays, and so does January 2844. But this is neither unique nor unusual. Friend won"t should wait for another 823 year to watch this weekday mix to happen in the month the January. Just 6 much more years, due to the fact that in 2026,January additionally has 5 Fridays, 5 Saturdays, and 5 Sundays.

A calendar month that contains 5 Fridays, 5 Saturdays, and also 5 Sundays actually occurs practically every year— January 2021, October 2021, July 2022, and also December 2023 all have actually the same weekday pattern.

First job of the Month

The weekday combinations this 823-year messages describe aren"t outstanding either. A rapid look in ~ a calendar will show that the first 3 weekday of any type of 31-day month will be repeated 5 time in the month. So, any type of month that has actually 31 days and also begins on a Friday will have actually 5 Fridays, 5 Saturdays, and also 5 Sundays. Similarly, any kind of 31-day month that begins on a Tuesday will have 5 Tuesdays, 5 Wednesdays, and also 5 Thursdays.

Put it to the check in our calendar

Recurring Monthly Calendars

Ready for part math? Here"s a more mathematical reasoning of why the 823-year claim is a myth:

Every year has 7 months with 31 days. Every of this months has at least 3 weekday that take place 5 times during the month. For example, august 2021 has 5 Sundays, 5 Mondays, and also 5 Tuesdays. December 2021 has actually 5 Wednesdays, 5 Thursdays, and 5 Fridays.

There are 7 different days a month have the right to start. So, ~ above average, the combination of any kind of 3 days developing 5 times in a calendar month will happen once a year.

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In any kind of given year, over there are only 6 such combinations of days. This is since 2 months v 31 days begin on the very same weekday. In a usual year, January and also October have the exact same calendar, while in a leap year, January and July look the same.

The Doomsday rule for calendars

5-Day combinations in a Month

Dates:1/ 8 / 15 / 22 / 292 / 9 / 16 / 23 / 303 / 10 / 17 / 24 / 31CommentsJanuary 2021March 2021May 2021July 2021August 2021October 2021December 2021January 2022March 2022May 2022July 2022August 2022October 2022December 2022
5 Fridays5 Saturdays5 SundaysSame together October 2021
5 Mondays5 Tuesdays5 Wednesdays
5 Saturdays5 Sundays5 Mondays
5 Thursdays5 Fridays5 Saturdays
5 Sundays5 Mondays5 Tuesdays
5 Fridays5 Saturdays5 SundaysSame as January 2021
5 Wednesdays5 Thursdays5 Fridays
5 Saturdays5 Sundays5 MondaysSame as October 2022
5 Tuesdays5 Wednesdays5 Thursdays
5 Sundays5 Mondays5 Tuesdays
5 Fridays5 Saturdays5 Sundays
5 Mondays5 Tuesdays5 Wednesdays
5 Saturdays5 Sundays5 Mondays
5 Thursdays5 Fridays5 Saturdays

Topics: Calendar, Fun


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