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Wednesday, June 28, 2017

6/28: So Much More Than Tau Day, It's a Perfect Day

      June 28th as Tau Day (pi x 2) is only part of the story of today's date. The digits in 6/28 (or 28/6, if you will, mate) are made up of two perfect numbers. A perfect number is a number that is the sum of its factors besides itself, and 6 (1+2+3) and 28 (1+2+4+7+14) are the first two perfect numbers. 


      Today is also my twin brothers' birthday. This morning, I also found out that my mom picked today, the perfect day, for inducing their birth! (It is also her best friend's birthday.)



     The next two perfect numbers are 496 and 8,128.


     


      The relationship between Mersenne prime numbers and perfect numbers is seen below:




      A Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number that can be written in the form Mersenne number = 2n − 1 for some integer n. They are named after Marin Mersenne, a Frenchman who studied them in the early 17th century. The first four Mersenne primes are 3, 7, 31, and 127 (although some of Mersenne's primes were proven later to be incorrect).




      As of May 2017, the largest known prime number is 274,207,281 − 1, a number with 22,338,618 digits. It was found in 2016 by the Great Internet Mersenne Prime Search (GIMPS-ha!). 

        Primes, GIMPS, perfection, oh my!



       Happy Birthday and have a luminescent trip around the sun, bros. Hope you had a parfait day!




Hope you've all had a perfect day, or at least a few perfect moments,
Steph





     5000 new neighbors moved into our backyard yesterday!


       

16 comments:

  1. That largest known Mersenne prime should be 2**(74,207,281) − 1.

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  2. > I just heard an ad, er, sponsorship message on NPR, that ties that Jeopardy! link to the answer to this week's NPR Sunday Puzzle.

    The next day's Final Jeopardy category was "OSCAR WINNERS", the clue was "LATER AN OSCAR WINNER, SHE APPEARED AS THE CHILD BAPTIZED TOWARDS THE END OF "THE GODFATHER", and the correct response was "WHO IS SOPHIA COPPOLA?" The ad I heard was for The Beguiled, directed by Sophia Coppola, and starring Nicole Kidman (among others).

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  3. Hmmm.... I'm not so sure I can get behind deflecting asteroids. I mean, look at the U.S. presidential line of succession: After Trump, you've got Mike Pence, Paul Ryan, Orrin Hatch, Rex Tillerson, Steve Mnuchin, Jim "Mad Dog" Mattis, Jeff Sessions, Ryan Zinke, and Sonny Perdue. Mere impeachment or the 25th Amendment isn't going to cut it. But, say we paint a giant bullseye around D.C., give those asteroids something to aim at...

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  4. Replies
    1. The snalizeetle holiday dinner fad?

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    2. Better than turduckin, for sure!

      As of yesterday, we've welcomed 5000 neighbors into our backyard! (See photo at end of this week's post.)

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    3. Glad you don't have a bunch of WASP's in the neighborhood; they bring down property values.

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  5. Replies
    1. mesas verdes

      i also like the lower-case letters in the article

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  6. A new post on "A Concrete Idea: Roman Sea Walls--Ash Me No Questions" is now up.

    My email account has been hacked so I am no longer getting notifications of your posts. Google is investigating. But, at least now I can post something!

    ReplyDelete