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2073240 successive primes not full period

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  • David Broadhurst
    Aug 8, 2009
      --- 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
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