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If we define S(n) as the sum of the digits of n, then we can write that S((prime(6+6+6))6) = S(prime(6+6+6)) + S(prime(666)) + S(prime(6*6*6)), where all the terms are prime. Note that 666 = (6+6+6) * S((prime(6+6+6))6). [Capelle]

 

  Submitted: 2009-09-08 10:20:02;   Last Modified: 2009-09-08 11:34:14.



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