Rosh Hashana Calculations

[Hans Havermann]

Brendan McKay:

> A Jewish calendar on the web that has been thoroughly tested is here:
>    http://www.jewishgen.org/jos/

That's great. Thank you so much. I was able to tabulate the data  
available there and confirm that my formula agrees with it for the  
years 1753-2238. And using those dates, I can now revisit the  
original "Years when Ramadan and Rosh Hashana coincide" table:

Year   Ramadan   Rosh Hashana

1777      10/3      10/2
1778      9/23      9/22
1779      9/12      9/11

1810      9/30      9/29
1811 =    9/19      9/19
1812       9/8       9/7

1843 =    9/25      9/25
1844 =    9/14      9/14

1875      10/1      9/30
1876      9/20      9/19
1877       9/9       9/8

1908      9/27      9/26
1909 =    9/16      9/16

1940 =    10/3      10/3*
1941 =    9/22      9/22*
1942 =    9/12      9/12

1973      9/28      9/27
1974      9/18      9/17*
1975       9/7       9/6

2005 =    10/4      10/4
2006      9/24      9/23
2007 =    9/13      9/13

2038 =    9/30      9/30*
2039 =    9/19      9/19*
2040 =     9/8       9/8

2071      9/25      9/24
2072      9/14      9/13*

2103      10/3      10/2
2104      9/21      9/20
2105 =    9/10      9/10

2136 =    9/27      9/27
2137 =    9/16      9/16

2168 =    10/3      10/3
2169      9/22      9/21
2170      9/12      9/11

2201      9/30      9/29
2202      9/19      9/18
2203 =     9/8       9/8

2233      10/6      10/5
2234 =    9/25      9/25
2235 =    9/14      9/14

*'s are corrected Rosh Hashana dates. Three consecutive coincidental  
years are rather special, appearing only twice: 1940-1942 and 2038-2040.


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