On 22 juin, 18:33, mstem...@walkabout.empros.com (Michael Stemper) wrote: > In article <js1rg9$jj...@dont-email.me>, Robin Chapman <R.J.Chap...@ex.ac.uk> writes: > >On 22/06/2012 13:58, mluttgens wrote: > >>>> Hereafter are the numbers n of Goldbach's sums for increasing even > >>>> numbers N: > > >>>> N n > >>>> 5000 152 > >>>> 10000 254 > >>>> 50000 900 > >>>> 100000 1628 > > >>>> Clearly, when N increases, the number of Goldbach's sums also > >>>> increases. > > >>> Except when it doesn't: > > >>> 450000 11028 > >>> 455000 7526 > >>> 460000 5840 > > >> How did you find those numbers? What do they represent? > >> If 11028, 7526 and 5840 represent Goldbach's pairs, they are false. > > >There are 11028 ordered pairs of primes (p,q) with p + q = 450000. > >There are 7526 ordered pairs of primes (p,q) with p + q = 455000. > >There are 5840 ordered pairs of primes (p,q) with p + q = 460000. > > Thanks for the confirmation. (I'll admit to having whipped together > the program that I used pretty quickly.) > > >There is an error above: > >there are 1620 ordered pairs of primes (p,q) with p + q = 100000 > >(not 1628 of them). > > -- > Michael F. Stemper > #include <Standard_Disclaimer> > Life's too important to take seriously.
I also verified your numbers. They are perfectly correct.