Know some history before doing math

Level 2

Zeller's congruence is an algorithm devised by Julius Christian Johannes Zeller to calculate the day of the week for any Julian or Gregorian calendar date. For the Gregorian Calendar, the formula is

w = ( y + ⌊ y 4 ⌋ + ⌊ c 4 ⌋ − 2 c + ⌊ 26 ( m + 1 ) 10 ⌋ + d − 1 ) m o d 7 w=\bigg ( y +\bigg \lfloor \frac{y}{4} \bigg\rfloor + \bigg\lfloor \frac{c}{4} \bigg\rfloor -2c + \bigg\lfloor \frac{26(m+1)}{10}\bigg\rfloor+ d-1\bigg) \mod 7

What is the earliest date when the formula could be applied to calculate the day of the week?

Hint : Gregorian Calendar

6 June 1997 1 AH 4 October 1582 15 October 1582 1 AD

Christopher Boo by Christopher Boo , 24, Singapore

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