The Beauty of Bounded Gaps (2013)
slate.com
The Beauty of Bounded Gaps (2013)
1–10 of 14 posts
Re: The Beauty of Bounded Gaps (2013)
#2This is from 2013.
Re: The Beauty of Bounded Gaps (2013)
#3This is from 2013.
And there has been much progress made in reducing the gap. Check out the polymath project and work done in collaboration with terry tao
Re: The Beauty of Bounded Gaps (2013)
#4This is from 2013.
Yup, I've been taught the result in first year calculus and the resulting corollaries, which was over 2 years ago now.
Re: The Beauty of Bounded Gaps (2013)
#5This is from 2013.
Yup, I've been taught the result in first year calculus and the resulting corollaries, which was over 2 years ago now.
> Yup, I've been taught the result in first year calculus and the resulting corollaries, which was over 2 years ago now.
Are you joking? This is not calculus, and it's certainly not first-year material.
Re: The Beauty of Bounded Gaps (2013)
#6Earlier quoted context omitted.
Yup, I've been taught the result in first year calculus and the resulting corollaries, which was over 2 years ago now.
> Yup, I've been taught the result in first year calculus and the resulting corollaries, which was over 2 years ago now. Are you joking? This is not calculus, and it's certainly not first-year material.
I think he means that he stated the result in a calc class, not that he proved it. It would be very reasonable (and cool!) to state without proof in a calc class.
Re: The Beauty of Bounded Gaps (2013)
#7Earlier quoted context omitted.
> Yup, I've been taught the result in first year calculus and the resulting corollaries, which was over 2 years ago now. Are you joking? This is not calculus, and it's certainly not first-year material.
I think he means that he stated the result in a calc class, not that he proved it. It would be very reasonable (and cool!) to state without proof in a calc class.
I certainly won't presume to tell Will Stein about number theory, but it seems strange to me to include in a calculus class (even without proof). Far be it from me to suggest ever excluding interesting mathematical content, but I'd be suspicious of an ordinary calculus class appreciating the significance of this result. On the other hand, maybe such prophecies are self fulfilling, and the enthusiasm of the teacher engenders the enthusiasm of his or her students, whatever the material.
(I am curious what "the resulting corollaries" are, though.)
Re: The Beauty of Bounded Gaps (2013)
#8If you're a fan of "How not to be wrong" (http://www.jordanellenberg.com/how-not-to-be-wrong )—and, if you're not, then go read it and you probably will be—then it may be worth noting that this article is by the same author. It is an excellent and accessible exposition that doesn't shy away from pointing to more technical resources for those who are interested.
Re: The Beauty of Bounded Gaps (2013)
#9> Quite the opposite—we take [primes] as immutable features of the universe, and carve them on the golden records we shoot out into interstellar space to prove to the ETs that we’re no dopes.
That sentence itself is golden!
Re: The Beauty of Bounded Gaps (2013)
#10"When you divide a big prime number by 3, the quotient can’t come out even" should be zero not even. A very good article on prime no nevertheless !