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693 is the index of smallest prime p such that the concatenation of 1000 consecutive primes beginning with p is prime, i.e., p(693).p(694).p(695)...p(1692) is prime. Note that the resulting prime contains 4463-digits. [Firoozbakht]

 

  Submitted: 2004-02-11 05:27:41;   Last Modified: 2008-01-30 11:28:00.



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