One possible pair is 1 and 2066.
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20135 days from Nov 16 2010 to Jan 1 2066.
Since 1982, it repeated in 1993, 1999, and 2010. For the rest of this century, it will repeat in 2021, 2027, 2038, 2049, 2055, 2066, 2077, 2083, 2094, and 2100.
1954, 1965, 1971, 1982, 1993, 1999, 2010, 2021, 2027, 2038, 2049, 2055, 2066.
By any of its factors which are: 1 2 4 1033 2066 and 4132
1897, 1909, 1915, 1926, 1937, 1943, 1954, 1965, 1971, 1982, 1993, 1999, 2010, 2021, 2027, 2038, 2049, 2055, 2066, 2077, 2083, 2094, 2100, 2106, 2117, 2123.