512. The Leap Year Puzzle. In February 1928, there were 5 Wednesdays. Of course, there is nothing particularly remarkable about this, but it would be interesting to find the nearest year preceding 1928 and the nearest year following 1928, in which February also had 5 Wednesdays.
512. Since 1752, when the new style was adopted in England, the first year with five Wednesdays in February was 1764. Then such years were 1792 and 1804. By adding 28, we get 1832, 1860, 1888. Then we are forced to make a jump to 1928, 1956, 1984, and 2012. Therefore, the answer will be 1888 and 1956. Usually, this happens every 28 years, except for the cases when 1800 and 1900 (which are not leap years) fell within the corresponding interval. Since 2000 will be a leap year, the year following 1984 and having the specified property will come, as it should, after 28 years - this will be 2012.