> Does the law of averages state that given a twin prime, the gap (no primes)

What do you mean? Regardless of the twin prime conjecture (is your proof

> between either the lower prime and the previous prime, or the higher prime

> and the next larger prime, is unbounded?

published?), elementary reasoning shows that there exist infinitely

large gaps between primes. There is nothing to suggest that these large

gaps would occur around a twin prime pair, however. Known results are

never that specific.

Andy> http://www.users.globalnet.co.uk/~perry/maths/twinprimeconjecture/twinprimec

Regarding this proof. So you proceed to derive the necessary form of an

> onjecture.htm

>

> proves that there are an infinite number of twin primes, so I expect the

> answer to be positive, but hence, what twin primes are the record breakers?

integer that has at least one odd anti divisor, and produce these nice

symmetric equations involving a and k. Fair enough.

But can you explain the last part to me? The bit starting with "all the 'k' can only copy the values of 'a'...". I'm afraid it makes no sense to me at all.

Surely you don't mean take a=k?

Andy