High Quality Content by WIKIPEDIA articles! Zeller's congruence is an algorithm devised by Christian Zeller to calculate the day of the week for any Julian or Gregorian calendar date.The formulas rely on the mathematician's definition of modulo division, which means that ?2 mod 7 is equal to positive 5. Unfortunately, the way most computer languages implement the remainder function, ?2 mod 7 returns a result of -2. So, to implement Zeller's congruence on a computer, the formulas should be altered slightly to ensure a positive numerator. The simplest way to do this is to replace ? 2J by + 5J and ? J by + 6J. So the formulas become:

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