## RE reciprocal consecutive primes (typo)

Expand Messages
• ... From: Jose Ramón Brox Consider b = a-1, then we have m*n = (p+a)(p-b) = (p+a)(p-a+1) = p^2 +p-a(a+1) ... The final equality should
Message 1 of 3 , Nov 3, 2005
----- Original Message -----
From: "Jose Ramón Brox" <ambroxius@...>

Consider b = a-1, then we have

m*n = (p+a)(p-b) = (p+a)(p-a+1) = p^2 +p-a(a+1)

-----------------------------------

The final equality should read p^2 + p -a(a-1)

Jose Brox
• Gauss-Legendre conjectured that the prime counting function of x is similar to x/ln(x). (Or more specifically that as x approaches infinity: pi(x)/(x/ln(x)) -
Message 2 of 3 , Nov 3, 2005
Gauss-Legendre conjectured that the prime counting
function of x is similar to x/ln(x).
(Or more specifically that as x approaches infinity:
pi(x)/(x/ln(x)) -> 1)

Are there other functions in number theory that are
similar to the function:
y = x/ln(x)?

Specifically I'm studying a phenomenon that appears to
resemble:
y = x/ln(x+c)

- Jeremy
Your message has been successfully submitted and would be delivered to recipients shortly.