Question 1023226: Leap years occur every four years, but sometimes a leap year is skipped. This is to offset the difference between the observed number of days and the tropical year, calculated in the previous problem, which will continue to increase over time, and to keep the calendar in sync with the seasons. The rule for whether a year is a leap year or not is that every year which is perfectly divisible by four is a leap year except for years that are divisible by 100 but not 400. How many years between now and the year 3000 inclusive will be skipped leap years?
Please show all work to get to the solution. Thanks
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! The skipped leap years between 2016 and 3000 inclusive are those years that have two zeroes at the end but are not divisible by 400.
Those years are 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800, 2900, and 3000, but except for 2400 and 2800, everyone else is not divisible by 400.
Therefore there will be eight skipped leap years from now till 3000 inclusive.
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