I can give you the beginning of the full sequence.

It is 10,16,18,22,24,30,34,36,42,46,48,54,60,64,66,72,76,78,84,90,102,106,108,112,114,120,126,132,138,142,144,150,156,158,168,180,198,210,240,246 . . .

That is as far as paper and pencil takes me, and I might have made some typo errors.

Incidentally, I have not laid claim to any proof of anything whatsoever.

I just wanted to know how far primorial 30 extends into this realm.

Kind regards

Bob

On 31 Aug 2013, at 01:06, "Jens Kruse Andersen" <jens.k.a@...> wrote:

> Bob Gilson wrote:

> > I presume that this pattern must break down at some point - could

> > someone tell me where?

>

> David is almost certainly right here. Twin primes aren't that rare.

> See Harvey Dubner's "Twin Prime Conjectures":

> http://oeis.org/A007534/a007534.pdf

> See also http://oeis.org/A007534

> http://groups.yahoo.com/neo/groups/primenumbers/conversations/topics/16384

> and http://oeis.org/A179825 which probably only has those 11 terms.

> None of them are multiples of 30 (that's no coincidence; small factors

> improve the odds).

> But the keyword "fini" (a finite sequence) seems inappropriate

> when it's only a conjecture. If conjectured keywords are

> acceptable then you might as well go full out and say "full" (the full

> sequence is given).

> http://oeis.org/A007534 also claims "fini" and then says

> "Conjectured to be complete" in the extensions field.

>

> --

> Jens Kruse Andersen

>

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