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2073345 successive primes not full period

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  • David Broadhurst
    Aug 8 12:33 PM
      --- 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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