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Re: [PrimeNumbers] Chaotic Series, Why Chaotic?

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  • Juan Ignacio Casaubon
    Chaos seems as oscillatotory movement, deterministic, with sensibility with initial values and with impredictible future, Ignacio Werner D. Sand
    Message 1 of 3 , Dec 12, 2005
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      Chaos seems as oscillatotory movement, deterministic, with sensibility
      with initial values and with impredictible future,

      Ignacio

      "Werner D. Sand" <Theo.3.1415@...> escribió:
      Let's go out from the alternating series of the odd reciprocals
      Odd = 1/1 – 1/3 + 1/5 – 1/7 + 1/9 – 1/11 +- … -> pi/4 and take only
      the prime fractions: P = -1/3 + 1/5 – 1/7 – 1/11 + 1/13 + 1/17 – 1/19
      - 1/23 + 1/29 – 1/31 + 1/37 … The limit appears to be – 1/3. In this
      case the whole series beginning with 1/5 (P+1/3 = 1/5 – 1/7 …) would
      be = 0, which is rather improbable. Computing 6 million fractions
      results in P ~ - 0.33497. Can someone calculate further?





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