OC. I computed the weekday for every 13th of every month from 1900-2099 using the Gregorian calendar and plotted the distribution.

    Results (n = 2,400 months):

    • Monday – 342 (14.25%)
    • Tuesday – 343 (14.29%)
    • Wednesday – 342 (14.25%)
    • Thursday – 343 (14.29%)
    • Friday344 (14.33%)
    • Saturday – 343 (14.29%)
    • Sunday – 343 (14.29%)

    Why this happens (short version): calendar arithmetic + leap-year rules skew the weekday distribution of the 13th ever so slightly toward Friday.

    Data & code: GitHub Gist

    by Interesting-Sock3940

    4 Comments

    1. The calendar runs on a 400-year cycle, so doing this for 1900 – 2299 would be more appropriate. And the results are 688 Friday; 687 Sunday and Wednesday; 685 Monday and Tuesday; 684 Saturday and Thursday.

      But 2100 – 2299 actually has more Wednesday the 13ths than any other day!

      Source: I ran OP’s code with the years changed.

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