Richard P.

asked • 06/22/23

(Science: day of the week)

Zeller’s congruence is an algorithm developed by Christian Zeller to calculate the day of the week. The formula is

h=(q +26(m+1)//10+k+k//4+j//4+5j)%7

where

- h is the day of the week (0: Saturday, 1: Sunday, 2: Monday, 3: Tuesday, 4: Wednesday, 5: Thursday, 6: Friday).

- q is the day of the month.

- m is the month (3: March, 4: April, ..., 12: December). January and February are counted as months 13 and 14 of the previous year.

- j is year//100.

- k is the year of the century (i.e., year % 100).

David M.

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07/11/23

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