- --- In primenumbers@yahoogroups.com,

"Jens Kruse Andersen" <jens.k.a@...> wrote:

> > Any advance on 33 consecutive primes of this kind?

Ah, Jens beat my case with 35, which was to be expected.

>

> [35, 1292613521, 1292614321]

> [36, 2757553987, 2757554983]

David - --- In primenumbers@yahoogroups.com,

"Jens Kruse Andersen" <jens.k.a@> wrote:

> [36, 2757553987, 2757554983]

[37, 7088772637, 7088772653]

David - --- In primenumbers@yahoogroups.com,

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

> [37, 7088772637, 7088772653]

Whoops! The last of these 37 primes is 7088773519

n=37;p1=7088772637;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]);

[37, 7088772637, 7088773519,

[2, 52, 2, 2, 2, 10, 4, 6, 2, 4, 2, 2, 2, 6, 2, 2, 8, 4,

3, 2, 2, 3, 3, 60, 3, 2, 4, 35, 3, 4, 4, 3, 2, 25, 2, 2, 2]]

With apologies for the typo,

David - --- In primenumbers@yahoogroups.com,

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

> 37, 7088772637, 7088773519

10 is not a primitive root of unity modulo any of

the 40 consecutive primes beginning with 22588287443

n=40;p1=22588287443;

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]);

[40, 22588287443, 22588288409,

[46, 15, 5, 2, 2, 5, 2, 2, 2, 2, 7, 2, 5, 9, 7, 30, 2, 4, 3, 3,

3, 4, 3, 3, 2, 6, 2, 9, 2, 16, 2, 2, 2, 2, 2, 6, 48, 5, 2, 2]]

David - --- 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