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Re: 37 successive primes not full period

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  • David Broadhurst
    ... 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));
    Message 1 of 12 , Aug 8, 2009
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      --- 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
    • 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 2 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 3 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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