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  • This picture, seen from far away,

  • looks like a shape.

  • And this is the coat of arms, or the Emblem, of Trinity Hall, this College, which is founded in 1350.

  • 1350, by the way, is a significant date because it's the year after 1349,

  • and 1349 is the year of The Great Plague in London, one of the great plagues,

  • and that wiped out the entire and laywer generation in London.

  • And some people thought It was an act of God,

  • but the founder of this college, Bishop Bateman, saw that the new generation of

  • lawyers had to be retrained, and that's why the 5 colleges were founded in the first place,

  • but anyway, we don't have to have that in recording-

  • ____________

  • So we have a very strange object.

  • This is the coat of arms of Trinity Hall. If you look closely it consists of eights and ones.

  • Ohhhhhhh. (My God)

  • There is a little bit of irregularity here

  • but otherwise it's followed by zero zero zero zero and,

  • ends in a one. This turns out to be a prime and the number of digits in prime is

  • 1350, which is the year of the foundation of the college.

  • This was a gift from JF Mckee whom I didn't know personally,

  • but my senior colleague Tom Khanna did.

  • He was a junior research fellow and was a postdoc of this college,

  • who came maybe 20 years ago, I am told by Tom and then

  • when a fellow of the college leaves the college,

  • it is traditional for that fellow to leave some gift to the College,

  • and usually it has to do the subject.

  • And he, rather enterprisingly, left this gift to the College. The coat of arms of Trinity House with lots and lots of

  • zeros at the end, but with one and which is a prime.

  • Now, how surprising is that? I'm really lost in

  • awe of somebody who not only had this idea, but actually implemented this idea, and I think even today,

  • It's a bit difficult to check that this number is a prime

  • I mean there are lots of Prime's in the world of special types.

  • For example, Mersenne primes and what-have-you. And for which, the y'know,

  • algorithm for checking that they are prime, checking and primality is a very well-known piece of mathematics

  • But this is a, fairly, sort of random prime. I mean it starts with eight, eight, eight, eight

  • and then so on, and so,

  • How do you discover such a thing is prime? And the purpose of his game of course was to hit the prime

  • exactly at 1350. This is because it's the year of the foundation of college

  • So, you can't really fine tune and with a number of digits.

  • That's why I think there's an irregularity here in the beginning-

  • zero followed by six, two, one.

  • And, we are still looking for the special significance

  • Of the number six to one. I'm sure there is some cosmic importance to this number as well.

  • Brady: What's your attachment to it?

  • Tadashi: To be honest it's sitting in the lunchroom, but I think most fellows don't notice its presence.

  • It's just sitting there among some dictionaries and books on the side of the, erm, of the table and

  • every once in a while when somebody like you, who has interest in science and

  • who has a mischievous aspect to the personality,

  • visit the college I love to show this to the people and they're all kind of amazed.

  • Again, not that somebody had an idea, but somebody actually implemented this whole thing is it's really honorable(?) I think.

  • Brady: Since recording with Tadashi,

  • we've shed a bit more light on the identity of the mysterious prime number creator, JF McKee.

  • It is in fact James McKee. Here he is around the time he was a research fellow in Pure Mathematics

  • at Trinity Hall and here he is now where he's a full professor at Royal Holloway.

  • I did chat with him on the phone and by email, and if you'd like to find out more,

  • have a look in the video description.

  • *Tap, Tap*

  • Tadashi: And the point farthest from the handle

  • *Tap, Tap, Tap*

  • *Tap*

  • *Tap*

  • Behave exactly the same way whereas 45 degrees off

  • *Tap, Tap, Tap*

  • *Higher Tap, Tap, Tap*

  • *Tap, Tap, Tap*

  • *Higher Tap, Tap, Tap*

  • You get the hi-

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トリニティホール・プライム - Numberphile (The Trinity Hall Prime - Numberphile)

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    林宜悉 に公開 2021 年 01 月 14 日
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