Years when Ramadan and Rosh Hashana coincide

[Hans Havermann]

Jonathan Post:

> Right now, in 2006, we have a rare instance of the holiest days of  
> Judaism and Islam coinciding.  Which other years have this  
> coincidence?

Using a quick and dirty Mathematica program, which has built-in  
calendar conversions, I get the following close approaches for the  
years 1900-2100:

Year   Ramadan   Rosh Hashana

1908      9/27      9/26
1909      9/16      9/16
1940      10/3      10/2
1941      9/22      9/23
1942      9/12      9/12
1973      9/28      9/27
1974      9/18      9/18
1975       9/7       9/6
2005      10/4      10/4
2006      9/24      9/23
2007      9/13      9/13
2038      9/30      9/29
2039      9/19      9/20
2040       9/8       9/8
2071      9/25      9/24
2072      9/14      9/14

I assume the reason Mathematica does not see 2006 as coincidental has  
to do with assumptions about when a day begins. A cursory glance  
suggests a coincidence or two every 32/33 years.
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