The Date of Easter

The Date of Easter for years from 2000 to 2050. The vertical axis shows a ranking where positive numbers represent the date in April, and zero and negative numbers represent dates in March according to the formula date = 31 + ranking. Notice the near - but not perfect - regularity of the pattern. The data is shown in a table.

The Date of Easter for years from 2000 to 2050. The vertical axis shows a ranking where positive numbers represent the date in April, and zero and negative numbers represent dates in March according to the formula date = 31 + ranking. Notice the near – but not perfect – regularity of the pattern. The data are shown in a table below.

If you have ever tried to arrange a spring event in advance, you will have come across an inconvenient truth: the date of Easter is irritatingly variable. But surprisingly it can be calculated by a simple 10 step formula!

Think of a year…

  1. Divide Year by 19 and let A be the remainder
  2. Divide Year by 100 and get quotient B and remainder C
  3. Divide B by 4 and get quotient D and remainder E
  4. Divide 8B +13 by 25 and get quotient G and a remainder which we ignore
  5. Divide 19A + B- D – G +15 by 30 to get quotient (which we ignore) and a remainder H
  6. Divide A + 11H  by 319 to get quotient M and a remainder (which we ignore)
  7. Divide C by 4 and get quotient J and remainder K
  8. Divide (2E + 2J – K – H + M + 32) by 7 to get a quotient (which we ignore) and remainder L
  9. Divide (H – M + L +90) by 25 to get a quotient N and a remainder (which we ignore)
  10. Divide (H – M + L +N + 19) by 32 to get a quotient  (which we ignore) and a remainder P

Easter is the P’th day of the N’th Month. Using this formula you can program a spreadsheet or script to calculate the date of Easter for any year. Or you can download my spreadsheet example .Date of Easter

Enjoy 🙂

Year  Date
2000 23 April 2000
2001 15 April 2001
2002 31 March 2002
2003 20 April 2003
2004 11 April 2004
2005 27 March 2005
2006 16 April 2006
2007 08 April 2007
2008 23 March 2008
2009 12 April 2009
2010 04 April 2010
2011 24 April 2011
2012 08 April 2012
2013 31 March 2013
2014 20 April 2014
2015 05 April 2015
2016 27 March 2016
2017 16 April 2017
2018 01 April 2018
2019 21 April 2019
2020 12 April 2020
2021 04 April 2021
2022 17 April 2022
2023 09 April 2023
2024 31 March 2024
2025 20 April 2025
2026 05 April 2026
2027 28 March 2027
2028 16 April 2028
2029 01 April 2029
2030 21 April 2030
2031 13 April 2031
2032 28 March 2032
2033 17 April 2033
2034 09 April 2034
2035 25 March 2035
2036 13 April 2036
2037 05 April 2037
2038 25 April 2038
2039 10 April 2039
2040 01 April 2040
2041 21 April 2041
2042 06 April 2042
2043 29 March 2043
2044 17 April 2044
2045 09 April 2045
2046 25 March 2046
2047 14 April 2047
2048 05 April 2048
2049 18 April 2049
2050 10 April 2050

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5 Responses to “The Date of Easter”

  1. H Stiles (@HStiles1) Says:

    Always entertaining & informative – that’s why I like Protons for Breakfast!

  2. Nestor Patrikios Says:

    Beautiful – a simple ten-step formula!
    Uncoincidentally, I looked this up recently and was delighted to find it based on an ecclesiastically defined equinox, one day after the real one.

    • protonsforbreakfast Says:

      Hi Nestor. Yes I read that too and I did think of putting in some links and trying to explain the ‘Epact’ and ‘Golden number’ etc, but it is all so bonkers I gave in! However the pattern of dates is interesting. According to the Ian Stewart, in his 2001 Scientific American they form a quasi-crystal.

  3. Nestor Patrikios Says:

    Yup, and Orthodox Easter is different again…

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