BCD 09.04.2023 (Easter Sunday edition)

If, unlike me, you’ve ever wondered what day Easter Sunday will fall on in some given year, you could look at a calendar. Or you could ask Google.

  1. Divide x (= the desired year of the Gregorian calendar) by 19 to get a quotient (which we ignore) and a remainder A. This is the year’s position in the 19-year lunar cycle. (A + 1 is the year’s golden number.)
  2. Divide x by 100 to get a quotient B and a remainder C.
  3. Divide B by 4 to get a quotient D and a remainder E.
  4. Divide 8B + 13 by 25 to get a quotient G and a remainder (which we ignore).
  5. Divide 19A + B – D – G + 15 by 30 to get a quotient (which we ignore) and a remainder H. (The year’s epact is 23 – H when H is less than 24 and 53 – H otherwise.) 
  6. Divide A + 11H by 319 to get a quotient M and a remainder (which we ignore).
  7. Divide C by 4 to get a quotient J and a remainder K.
  8. Divide 2E + 2J – K – H + M + 32 by 7 to get a quotient (which we ignore) and a 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 Sunday is the Pth day of the Nth month (N can be either 3 for March or 4 for April). The year’s dominical letter can be found by dividing 2E + 2J – K by 7 and taking the remainder. A remainder of 0 is equivalent to the letter A, 1 is equivalent to B, and so on).

(The following figure is the same thing, I think, or at least does the same thing, just for the more visually inclined.)

By Michael Hartley (https://www.dr-mikes-math-games-for-kids.com/support-files/easter-date-worksheet.pdf)

Really??? Who came up with this? And how?!

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