The Doomsday algorithm

Also called the Doomsday rule or the Doomsday method: John Conway's way to name the weekday of any date in your head. Four steps, about a dozen facts.

The idea

Every year has one weekday, its doomsday, that a set of easy dates always share. Know a year's doomsday and any date in it is a short count away.

Every year, one weekday

4 April, 6 June, 8 August, 10 October and 12 December always share it.

4/4
6/6
8/8
10/10
12/12

Learn one weekday, and you have the whole year.

1. Century anchor

Each century starts from a fixed weekday. There are four, and they repeat every 400 years.

Friday1800s
Wednesday1900s · "We-in-dis-day"
Tuesday2000s · "Y-Tue-K"
Sunday2100s

2. Year offset

Take the last two digits of the year, add a quarter of them (dropping the remainder), and take away sevens. Add what's left, 0 to 6, to the anchor. That's the year's doomsday.

1969: 69 ÷ 4 = 17 69 + 17 = 86 86 − 84 = 2 (84 = 12 weeks) Wednesday + 2 = Friday

3. Month doomsday

One date in each month always lands on the doomsday:

3Jan · 4 in leap years
28Feb · last day
14Mar · Pi Day
4Apr
9May
6Jun
11Jul
8Aug
5Sep
10Oct
7Nov
12Dec

The even months double up. For May, July, September and November: "I work 9-to-5 at the 7-Eleven" (5/9, 9/5, 7/11, 11/7).

4. Count

Step from that date to yours. Sevens are free, since a week later is the same weekday, so you're never more than three days away.

All together: 20 July 1969

Anchor 1900s Wednesday Offset 69+17=86 → 2 Friday Month July → 7/11 11 Jul: Fri Count 18 Jul: Fri, +2 → Sunday

The moon landing was on a Sunday. For a date this year, skip straight to step 3: 2026's doomsday is Saturday.

Learn it properly. The Doomsday app turns these four steps into 48 short lessons with drills. The first 16 are free.

Download on the App Store

Try any date

Where it comes from

Conway, the mathematician behind the Game of Life, published the method in 1973 as Tomorrow is the Day After Doomsday in the Cambridge journal Eureka. He built on a rule Lewis Carroll had sent to Nature in 1887. It works for any date in the Gregorian calendar, which began in 1582.

Watch and read more

Now make it fast

Speed comes from practice. Try dates in the free trainer and look at the working whenever you miss. The app adds faster year-offset methods such as Odd + 11 and a rating that tracks your speed.