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The basic approach of nearly all of the methods to calculate the day of the week begins by starting from an "anchor date": a known pair (such as 1 January 1800 as a Wednesday), determining the number of days between the known day and the day that you are trying to determine, and using arithmetic modulo 7 to find a new numerical day of the week.
To find which day of the week Christmas Day of 2021 is, proceed as follows: in the year 2021, doomsday is on Sunday. Since December 12 is a doomsday, December 25, being thirteen days afterwards (two weeks less a day), fell on a Saturday. Christmas Day is always the day of the week before doomsday.
These formulas are based on the observation that the day of the week progresses in a predictable manner based upon each subpart of that date. Each term within the formula is used to calculate the offset needed to obtain the correct day of the week. For the Gregorian calendar, the various parts of this formula can therefore be understood as follows:
August 30 is the 242nd day of the year ... 1363 – The five-week Battle of Lake Poyang begins, ... 2024 – Fatman Scoop, ...
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January 11 February 12 March 1 April 2 May 3 June 4 July 5 August 6 September 7 October 8 November 9 December 10. The algorithm enables a computer to print calendar and diary pages for past or future sequences of any desired length from the reform of the calendar, which in England was 3/14 September 1752.
2024 ATP Tour. 2024 US Open – Men's singles. Defending men's champion Novak Djokovic is defeated in the third round by Alexei Popyrin, 6-4, 6-4, 2-6, 6-4, making 2024 the first tennis season since 2002 in which no Grand Slam tournaments were won by one of Djokovic, Roger Federer, or Rafael Nadal, collectively known as the "big three."
For example, the Gregorian date Thursday, 30 January 2025 corresponds to day number 4 in the week number 05 of 2025, and is written as 2025-W05-4 (in extended form) or 2025W054 (in compact form). The ISO year is slightly offset to the Gregorian year; for example, Monday 30 December 2019 in the Gregorian calendar is the first day of week 1 of ...