## Re: [PrimeNumbers] Chaotic Series, Why Chaotic?

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• 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
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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