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Re: JSH: Prime gap equation
Posted:
Feb 4, 2010 11:15 PM
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On Feb 4, 8:06 pm, JSH <jst...@gmail.com> wrote:
> The prime gap equation given a natural number x and even gap g is
>
> probPrimeGap(x) = probPrime(x)*((p_j - 2)/(p_j - 1)*...*(1/3))*(1 -
> probPrime(x)*((p_j - 2)/(p_j-1)*...*(1/3))n*Corr
Oh, the n is an exponent, so should be:
probPrimeGap(x) = probPrime(x)*((p_j - 2)/(p_j - 1)*...*(1/3))*((1 -
probPrime(x)*((p_j - 2)/(p_j-1)*...*(1/3))^n)*Corr
And why is there 1/3 in there instead of 1/2? Probably a typo, but
I'm not sure.
It was something I did back in 2006.
> where n equals (g/2)-1, j is the number of primes up to sqrt(x+g), or
> sqrt(x-g) if g is negative, p_j is the jth prime, and Corr corrects
> for any odd primes that are factors of g, if there are any, and if
> there are none Corr=1, otherwise it adjusts to (p-1)/p for that prime
> versus (p-2)/p.
Hmmm...wonder if I had a typo in it for all these years, or did I have
some reason that I forgot for having 1/3? Probably a typo....
James Harris
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