--- In

primenumbers@yahoogroups.com, "Tom" <tom@...> wrote:

> What is the concensus of math world on the HL conjectures?

> 1: k-tuples true and 2nd HL false

> 2: k-tuples false and 2nd HL true

> or

> 3: k-tuples false and 2nd HL false

This page mentions the incompatibility of the 2 conjectures here

http://en.wikipedia.org/wiki/Second_Hardy-Littlewood_conjecture
and references your website as well as a 1974 article on the

incompatibility of the 2 conjectures. Seems to indicate a preference

for your #1 above.

I have heard the "k-tuple" conjecture described in different ways.

Are we talking about the k-tuple conjecture in the sense of the first

HL conjecture? If not, what is the difference?