View Single Post
Aug24-05, 12:19 PM
P: 501
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..
Phys.Org News Partner Science news on
'Office life' of bacteria may be their weak spot
Lunar explorers will walk at higher speeds than thought
Philips introduces BlueTouch, PulseRelief control for pain relief