Birthday Weekday

It was 5:20 a.m. and I was finishing my second cup of coffee when it dawned on me – the question:

How many birthdays have I had on the same day of the week as my date of birth?

In resolution, using this weekday calendar, I laboriously set about to record the years in which I had a birthday on the Sabbath, being born on a Sunday.

Granted, this number of same days of the week may be of minimal interest, yet I did observe a pattern. So, I checked a few other sample birthdates to substantiate the following conclusion:

With the exception of February 29th, every birthdate, on any given day of the week, recurs on that day of the week in accordance with the following pattern of years…

↱ 6 · 11 · 6 · 5 ↲

So, if your birthday on the same day of the week as your date of birth initially occurs at age 11, it then recurs at intervals of 6, 5, 6 and 11 years, as a repeating loop.

Also, if by chance you happened to be born in a leap year on February 29th, your next calendar birthday of February 29th – on the same day of the week as your birthdate – will occur in a cycle every 28 years.

You may say that I’ve got too much time on my hands, but cut me some slack – and cake – as today is my birthday. Happy birthday, me!

62 responses to “Birthday Weekday”

  1. I think you have too much time. I can only tell you, I was born on a Saturday and this year I also had Birthday on a Saturday. As always, I had the flu 😂😂 This Year it was special ,not a usually a flu, but corona. Are you born in the morning?

  2. Dear Phil, I love that you did the math. I think the little boy in the picture is very cute with a beautiful smile.
    Happy Birthday and all the best 🎉🥂🍾🎂🎊 Stay healthy and sound 🎈 Wish you, Balle 🎉💖🥂

  3. Happy Birthday, photographer Phil! 🥳 Your photo is adorable! 👼🏻 The cake is original. 🎂😆 You may have too much time on your hands, or you might consider teaching math. 🤔 Enjoy your birthday week! 🌞🌄

    • Thank you, lovely poetess Michele! 🌹 I was certainly excited about this thing they call ‘cake’. 🤪 Yes, perhaps too much coffee too early. ☕☕ Will do, my friend ~ have a great day! 🌞✍🏼 Oh, BTW, I love your Walk with me poem & photography. ✅

      • You are welcome birthday boy. Yeah, cake is exciting, then and now. 😆 haha Well, not a bad way to start the day… solving a birthday math riddle. Now we know! 🤯 Thank you for mentioning that poem and photos. I wasn’t able to comment for a few days, but I wanted to share the photos, then the poem spilled out. Thanks for the feedback. 🙏🏻🌞

  4. love you did that math and look at that adorable little boy all grown up and still adorable. Happy birthday thanks for doing the math on my next Leap Year Birthday! Until then I remain 16 1/4 💖🌻🌻🙏🌈

    • Thanks very much, dear Cindy 💖🌻 I appreciate your kind words, and always thought it would be cool to have a birthday on Feb. 29th. 😎 So, the question: on birthdays not during a leap year, do you celebrate on Feb. 28th, March 1st, or both days? 🎂🥳 Have a great day, my friend!

    • Thanks very much, dear Hannah 🤗 Yes, I thought that was an interesting pattern to stumble upon💡 Have a great day, my friend!

    • Thank you, my friend 😃 I had a nice day (hiking), and also thought that the pattern of numbers was interesting 🤔 Have a pleasant evening, Robin! 💐

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