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Re: Busy day in number theory

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  • djbroadhurst
    ... That was my reaction. ... This is indeed cleaning up on previous breakthroughs, but very welcome, nonetheless. ... Happily, David
    Message 1 of 3 , May 14, 2013
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      --- In primenumbers@yahoogroups.com,
      "WarrenS" <warren.wds@...> wrote:

      > Wow!
      > Allegedly Yitang Zhang proved there are infinitely many
      > pairs of primes that are less than 70 million units apart:
      >
      > http://www.nature.com/news/first-proof-that-infinitely-many-prime-numbers-come-in-pairs-1.12989
      >
      > The Zhang result is to be published in Annals of Maths and
      > would seem an absolutely fantastic breakthrough.

      That was my reaction.

      > And Harald A. Helfgott gives a long proof every odd number N > 5
      > is the sum of three primes (this was already long known to be true
      > except for a computable finite set of possible exceptions):
      >
      > http://arxiv.org/abs/1305.2897

      This is indeed cleaning up on previous breakthroughs,
      but very welcome, nonetheless.

      As Terence Tao had said, and I had here echoed:

      > Busy day in number theory

      Happily,

      David
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