In article <email@example.com>, Robin Chapman <R.J.Chapman@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.