woodhodgson wrote:

> --- In primenumbers@yahoogroups.com, Tom Hadley <kctom99@...> wrote:

>> The first 25 primes do not make an admissible constellation. It is

>> impossible to find that pattern repeated anywhere else.

>

> That's why I quoted 23, ignoring the "special" first century. There is no

> reason

> to rule out the existence of some 23-tuple "inside" a century somewhere.

Right. However, the densest admissible 23-tuples have width 94 but

cannot be inside a century. They must start with a number which is

7 or 9 (mod 10) and then they will cross a multiple of 100.

But there are admissible 23-tuples with width 96 which can be inside

a century, for example

{1,3,7,9,13,21,27,31,37,39,43,49,57,63,67,69,73,79,81,87,91,93,97}

The densest admissible 24-tuples have width 100 so they obviously

don't fit inside a century.

--

Jens Kruse Andersen