I've seen this meme is circulating a lot on the Internet. It's bullshit. The fact is that the first three days of any month with 31 days will repeat five times within the month. That means any 31-day month* that starts on a Friday will have five Fridays, five Saturdays and five Sundays. You don't have to wait 823 years for it to happen again, the next occurrence after August of 2014 will be in May of 2015.
* January, March, May, July, August, October and December