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Re: [PrimeNumbers] Prime Numbers Equation

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  • Ali Adams
    Dear Sebastain, Did you mean by  p**2+4(q+r)* *2=4p(q+r) +1 this                    p^2 + 4(q+r)^2 = 4p(q+r) + 1    ??? if so, maybe
    Message 1 of 7 , Jun 12, 2009
      Dear Sebastain,

      Did you mean by  p**2+4(q+r)* *2=4p(q+r) +1
      this                    p^2 + 4(q+r)^2 = 4p(q+r) + 1    ???

      if so, maybe you need to clarify that:

      r or q can equal p
      or
      1 is prime

      see below:

      11^2 + 4(q+r)^2 - 44(q+r) + 1 = 0

      let w = q+r

      121 + 4w^2 - 44w - 1 = 0

      120 + 4w^2 - 44w = 0

      divide both sides by 4

      30 + w^2 - 11w = 0

      as a quadratic equation:
      w^2 - 11w + 30 = 0
      a = 1
      b = -11
      c = 30

      w = [-b +- sqrt(b^2 - 4ac)] / 2a
      w = [11 +- sqrt(-11^2 - 4*1*30)] / 2*1
      w = [11 +- sqrt(121 - 120)] / 2
      w = [11 +- sqrt(1)] / 2
      w = [11 +- 1] / 2

      w1 = 12 / 2 = 5
      w2 = 10 / 2 = 10

      so

      either:
      w1 = q1 + r1
      12 = 1 + 11    or    5 + 7
      but but q != p and r != p
      and 1 is not 1 since 1899
      so this option is out

      or:
      w2 = q2 + r2
      10 = 3 + 7   or   5 + 5
      but q != p and r != p
      and r != q
      so this fails too unless you calrify that they can :)

      Sorry if misunderstood ** and * * oparators.

      Ali
      <prime numbers are God's signature>
       




      ________________________________
      From: Sebastian Martin Ruiz <s_m_ruiz@...>
      To: Claudi Alsina <claudio.alsina@...>; Azmy Ariff <azmyarif@...>; Chris Caldwell <caldwell@...>; Pierre Deligne <deligne@...>; Gaussianos <gaussianos@...>; Andrew Granville <andrew@...>; Lista NMBRTHRY <nmbrthry@...>; Antonio Pérez Sanz <aperez4@...>; primenumbers@yahoogroups.com; Carlos Rivera <crivera@...>; CarlosB Rivera <cbrfgm@...>
      Sent: Saturday, June 13, 2009 12:05:30 AM
      Subject: [PrimeNumbers] Prime Numbers Equation





      Hello:
       
      If Goldbach Conjecture is True then:
       
      For all p prime number p>=7 exists q and r also primes such that:
       
      p**2+4(q+r)* *2=4p(q+r) +1
       
      (It is easy to prove)
       
      Sincerely
       
      Sebastian Martin Ruiz
       
       

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