[seqfan] Re: Primes of the form pq+-2.

[zak seidov]

see also:
http : // zak08.livejournal.com/2093.html


--- On Tue, 11/11/08, Richard Mathar <mathar at strw.leidenuniv.nl> wrote:

> 
> The bias of A048797-A051507 is growing like a power law at
> higher counts.
> If the first column below is a limit k, the second column
> is the count of
> primes p<k such that p is in A048797, the 3rd column is
> the count of primes p<k
> such that p is in A051507, and the 4th column is the
> difference between 
> the 2nd and 3rd:
> 
> 2000 11 36 -25
> 50000 199 393 -194
> 100000 359 669 -310
> 300000 965 1580 -615
> 500000 1552 2391 -839
> 1000000 2894 4329 -1435
> 2000000 5336 7755 -2419
> 3000000 7665 10870 -3205
> 5000000 12016 16908 -4892
> 10000000 22454 30581 -8127
> 20000000 41846 55800 -13954
> 25000000 51167 67887 -16720
> 30000000 60108 79674 -19566
> 40000000 77968 102438 -24470
> 50000000 95359 124525 -29166
> 60000000 112628 146037 -33409
> 70000000 129451 167319 -37868
> 
> The absolute value of the last column grows approximately
> proportional
> to exp(0.774*k) if we fit on a double-logarithmic
> scale in the range k>=100000.
> 
> Richard J. Mathar
>