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Formula for Determining the Date of Easter
for Any Year in the Gregorian Calendar
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| Step |
N=Number |
Denominator |
Equation |
Quotient |
Remainder |
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1.
Example: | N=The year
N=1994 | 19
- | N/19
1994/19 | Discard
- | a
a=18 |
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| 2. | N=The year
N=1994 | 100
- | N/100
1994/100 | b
b=19 | c
c=94 |
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| 3. | N=b
N=19 | 4
- | N/4
19/4 | d
d=4 | e
e=3 |
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| 4. | N=(b+8)
N=27 | 25
- | N/25
27/25 | Discard
- | f
f=2 |
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| 5. | N=(b-f+1)
N=18 | 3
- | N/3
18/3 | g
6 | Discard
- |
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| 6. | N=(19a+b-d-g+15)
N=366 | 30
- | N/30
366/30 | Discard
- | h
h=6 |
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| 7. | N=c
N=94 | 4
- | N/4
94/4 | i
i=23 | j
j=2 |
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| 8. | N=(32+2e+2i-h-j)
N=76 | 7
- | N/7
76/7 | Discard
- | k
k=6 |
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| 9. | N=(a+11h+22k)
N=216 | 451
- | N/451
216/451 | L
L=0 | Discard
- |
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| 10. | N=(h+k-7L+114)
N=126 | 31
- | N/31
126/31 | m
m=4 | n
n=2 |
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M=Month in which Easter occurs
n+1=Day of month on which Easter occurs
March 22 is the earliest possible date for Easter. It has not been celebrated that early since March 22, 1818, and will not be again until 2285. The latest date on which Easter can fall is April 25, on which it was celebrated in 1943, and will be next in 2038.
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