this is a question i have i mean are RH and Goldbach conjecture related? i mean in the sense that proving RH would imply Goldbach conjecture and viceversa:
RIemann hypothesis: (RH)
[tex]\zeta(s)=0 [/tex] then [tex]s=1/2+it [/tex]
Goldbach conjecture,let be n a positive integer then:
[tex]2n=p1+p2 [/tex] , [tex]2n+1=p3+p4+p5 [/tex]
with p1,p2,p3,p4 and p5 prime numbers...
Another question is there a generating function for the number of ways a natural number can be split into a sum of r-primes?....
this would be interesting because if existed with r=2 and r=3 it would aid to prove Goldbach conjecture..