- julienbenney wrote:
> 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121

This is trivial as others have shown.

>

> These are eleven consecutive primes not one of which is a full period

> prime.

>

> The question I want to ask is whether there is any other sequence of

> consecutive non-full-period primes equal to or greater than this sequence.

The next case of eleven is as small as 4481 to 4561.

Consecutive primes which *are* full period primes appear more interesting.

In http://www.primepuzzles.net/puzzles/puzz_095.htm I found 23 from

239651440411 to 239651440949.

--

Jens Kruse Andersen - --- In primenumbers@yahoogroups.com,

"David Broadhurst" <d.broadhurst@...> wrote:

> 10 is not a primitive root of unity modulo any of

10 is not a primitive root of unity modulo any of

> the 40 consecutive primes beginning with 22588287443

the 45 consecutive primes beginning with 24124140487

n=45;p1=24124140487;

v=vector(n);p=p1;

for(k=1,n,v[k]=(p-1)/znorder(Mod(10,p));p2=p;p=nextprime(p+1));

print([n,p1,p2,v]);

[45, 24124140487, 24124141903,

[3, 2, 6, 2, 2, 90, 6, 3, 7, 4, 8, 3, 12, 4, 4,

2, 2, 9, 20, 6, 7, 2, 4, 2, 36, 42, 2, 2, 2, 2,

2, 2, 117, 10, 3, 15, 3, 4, 2, 2, 10, 2, 2, 2, 7]]

David