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Rosh Hashana/Yom Kippur

PrewrathDad 9 years ago updated by Michael J. Radwin 9 years ago 2
How often does Rosh Hashana of a current year fall on the same date as Yom Kippur of the following year? This happens in 2022 and 2023, so I was curious as to how often this occurs.
Under review
What you describe happens 86 times during the 400 year period from 1800-2200. Here are a list of dates for your reference:

Erev RH 1802 and YK 1803 are both on 9/26
Erev RH 1810 and YK 1811 are both on 9/28
Erev RH 1813 and YK 1814 are both on 9/24
Erev RH 1822 and YK 1823 are both on 9/15
Erev RH 1824 and YK 1825 are both on 9/22
Erev RH 1826 and YK 1827 are both on 10/1
Erev RH 1829 and YK 1830 are both on 9/27
Erev RH 1830 and YK 1831 are both on 9/17
Erev RH 1834 and YK 1835 are both on 10/3
Erev RH 1837 and YK 1838 are both on 9/29
Erev RH 1846 and YK 1847 are both on 9/20
Erev RH 1849 and YK 1850 are both on 9/16
Erev RH 1853 and YK 1854 are both on 10/2
Erev RH 1854 and YK 1855 are both on 9/22
Erev RH 1857 and YK 1858 are both on 9/18
Erev RH 1864 and YK 1865 are both on 9/30
Erev RH 1870 and YK 1871 are both on 9/25
Erev RH 1873 and YK 1874 are both on 9/21
Erev RH 1878 and YK 1879 are both on 9/27
Erev RH 1881 and YK 1882 are both on 9/23
Erev RH 1884 and YK 1885 are both on 9/19
Erev RH 1897 and YK 1898 are both on 9/26
Erev RH 1900 and YK 1901 are both on 9/23
Erev RH 1902 and YK 1903 are both on 10/1
Erev RH 1905 and YK 1906 are both on 9/29
Erev RH 1908 and YK 1909 are both on 9/25
Erev RH 1917 and YK 1918 are both on 9/16
Erev RH 1921 and YK 1922 are both on 10/2
Erev RH 1924 and YK 1925 are both on 9/28
Erev RH 1925 and YK 1926 are both on 9/18
Erev RH 1932 and YK 1933 are both on 9/30
Erev RH 1941 and YK 1942 are both on 9/21
Erev RH 1944 and YK 1945 are both on 9/17
Erev RH 1948 and YK 1949 are both on 10/3
Erev RH 1952 and YK 1953 are both on 9/19
Erev RH 1962 and YK 1963 are both on 9/28
Erev RH 1968 and YK 1969 are both on 9/22
Erev RH 1973 and YK 1974 are both on 9/26
Erev RH 1978 and YK 1979 are both on 10/1
Erev RH 1982 and YK 1983 are both on 9/17
Erev RH 1986 and YK 1987 are both on 10/3
Erev RH 1989 and YK 1990 are both on 9/29
Erev RH 1993 and YK 1994 are both on 9/15
Erev RH 1998 and YK 1999 are both on 9/20
Erev RH 2006 and YK 2007 are both on 9/22
Erev RH 2009 and YK 2010 are both on 9/18
Erev RH 2022 and YK 2023 are both on 9/25
Erev RH 2024 and YK 2025 are both on 10/2
Erev RH 2030 and YK 2031 are both on 9/27
Erev RH 2033 and YK 2034 are both on 9/23
Erev RH 2044 and YK 2045 are both on 9/21
Erev RH 2046 and YK 2047 are both on 9/30
Erev RH 2049 and YK 2050 are both on 9/26
Erev RH 2050 and YK 2051 are both on 9/16
Erev RH 2054 and YK 2055 are both on 10/2
Erev RH 2057 and YK 2058 are both on 9/28
Erev RH 2060 and YK 2061 are both on 9/24
Erev RH 2066 and YK 2067 are both on 9/19
Erev RH 2069 and YK 2070 are both on 9/15
Erev RH 2073 and YK 2074 are both on 10/1
Erev RH 2076 and YK 2077 are both on 9/27
Erev RH 2077 and YK 2078 are both on 9/17
Erev RH 2081 and YK 2082 are both on 10/3
Erev RH 2084 and YK 2085 are both on 9/29
Erev RH 2093 and YK 2094 are both on 9/20
Erev RH 2096 and YK 2097 are both on 9/16
Erev RH 2100 and YK 2101 are both on 10/3
Erev RH 2101 and YK 2102 are both on 9/23
Erev RH 2104 and YK 2105 are both on 9/19
Erev RH 2117 and YK 2118 are both on 9/26
Erev RH 2120 and YK 2121 are both on 9/22
Erev RH 2122 and YK 2123 are both on 9/30
Erev RH 2125 and YK 2126 are both on 9/28
Erev RH 2128 and YK 2129 are both on 9/24
Erev RH 2138 and YK 2139 are both on 10/3
Erev RH 2142 and YK 2143 are both on 9/19
Erev RH 2144 and YK 2145 are both on 9/27
Erev RH 2149 and YK 2150 are both on 10/1
Erev RH 2152 and YK 2153 are both on 9/29
Erev RH 2158 and YK 2159 are both on 9/22
Erev RH 2164 and YK 2165 are both on 9/16
Erev RH 2169 and YK 2170 are both on 9/20
Erev RH 2174 and YK 2175 are both on 9/25
Erev RH 2182 and YK 2183 are both on 9/27
Erev RH 2188 and YK 2189 are both on 9/21
Erev RH 2198 and YK 2199 are both on 9/30