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Riemann hypothesis and number theory

  1. Mar 2, 2011 #1
    Would the field of the number theory collapse or flourish if the Riemann Hypothesis is proved as true???
     
  2. jcsd
  3. Mar 3, 2011 #2
    There are theorems that depend on it being true.
     
  4. Mar 3, 2011 #3
    Oh I mean if the property of prime numbers is revealed, would the number theory no longer useful or something?
     
  5. Mar 4, 2011 #4
    Number theory would still be useful, it's just that you might not be able to make certain assumptions. Things like The Fundamental Theorem of Arithmetic would still hold.
     
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