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From: Ludovicus on 25 Nov 2009 07:57
I ask if someone knows an approximate formula for calculating
the expected maximum gap between consecutive pairs of
twin primes in the neighborhood of a given number N.
For the primes I developed the formula : [log(N) - loglog(N)]^2
This curve match satisfactorily the data of known large gaps.
Ludovicus
From: master1729 on 25 Nov 2009 07:12
> I ask if someone knows an approximate formula for
> calculating
> the expected maximum gap between consecutive pairs of
> twin primes in the neighborhood of a given number N.
> For the primes I developed the formula : [log(N) -
> loglog(N)]^2
> This curve match satisfactorily the data of known
> large gaps.
> Ludovicus

im working on it...
From: dan73 on 26 Nov 2009 22:19
> I ask if someone knows an approximate formula for
> calculating
> the expected maximum gap between consecutive pairs of
> twin primes in the neighborhood of a given number N.
> For the primes I developed the formula : [log(N) -
> loglog(N)]^2
> This curve match satisfactorily the data of known
> large gaps.
> Ludovicus

Does your formula hold for the record of known
twins?

rank prime digits who when reference
1 65516468355·2^333333+1 100355 L923 2009 Twin (p+2)
2 65516468355·2^333333-1 100355 L923 2009 Twin (p)
3 2003663613·2^195000+1 58711 L202 2007 Twin (p+2)
4 2003663613·2^195000-1 58711 L202 2007 Twin (p)
5 194772106074315·2^171960+1 51780 x24 2007 Twin (p+2)
6 194772106074315·2^171960-1 51780 x24 2007 Twin (p)
7 100314512544015·2^171960+1 51780 x24 2006 Twin (p+2)
8 100314512544015·2^171960-1 51780 x24 2006 Twin (p)
9 16869987339975·2^171960+1 51779 x24 2005 Twin (p+2)
10 16869987339975·2^171960-1 51779 x24 2005 Twin (p)

Or are there gaps in these that contain twins?


Also the largest composite that would contain
the record twins would be --
(65516468355·2^333333)^2 -1 ;-)

Dan
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