## 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 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…