This October has 5 Fridays, 5 Saturdays and 5 Sundays, all in one month.  It happens once in 823 years.
Close, but not quite.  The last time that October had 5 Fridays, Saturdays, and Sundays was 2004.  That's a little shy of the stated 823 years.  Before that was 1999.  Then there was 1993.  And 1982.  And so on.  Every time that October 1st falls on a Friday - on average about once every 7 years - it will meet the stated pattern.  I am a little surprised that this is going around since the pattern should be obvious.  Whenever any month with 31 days starts on a Friday, this pattern will occur.  It's really pretty common.  January of this year had the 5 weekend pattern and July of next year will have it.
 

 
 
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