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40 successive primes not full period

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  • David Broadhurst
    ... 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;
    Message 1 of 12 , Aug 8, 2009
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      --- 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
    • David Broadhurst
      ... 10 is not a primitive root of unity modulo any of the 45 consecutive primes beginning with 24124140487 n=45;p1=24124140487; v=vector(n);p=p1;
      Message 2 of 12 , Aug 8, 2009
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        --- In primenumbers@yahoogroups.com,
        "David Broadhurst" <d.broadhurst@...> wrote:

        > 10 is not a primitive root of unity modulo any of
        > the 40 consecutive primes beginning with 22588287443

        10 is not a primitive root of unity modulo any of
        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
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