Doomsday Rule - Finding A Century's Anchor Day

Finding A Century's Anchor Day

To find a century's anchor day, begin by finding the century c in which the date falls. (For the purposes of this calculation, century years are treated as though they fall in the century that follows. 2000 is therefore part of the 21st century in this equation, not the 20th century.) A year's century number is equal to its first two digits plus one. Take the century number and multiply by 5. Separately, subtract one from the century number, divide by four and take the floor of the quotient. Add these two numbers modulo 7 and use the result to offset from Thursday to get the anchor day.

The anchor day for the twenty-first century is Tuesday:

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