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It happens every 5th, 6th or 11th year. Taking the 20th and 21st centuries, these are the 36 years that the 2nd of October is a Thursday:

1902, 1913, 1919, 1924, 1930, 1941, 1947, 1952, 1958, 1969, 1975, 1980, 1986, 1997, 2003, 2008, 2014, 2025, 2031, 2036, 2042, 2053, 2059, 2064, 2070, 2081, 2087, 2092, 2098, 2064, 2070, 2076, 2081, 2087, 2092 and 2098.

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