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The smallest number with prime sum of digits, whose sum of distinct prime factors is a fourth power: 605 = 5 * 11^2, 5 + 11 = 16 = 2^4, and 6 + 0 + 5 = 11. Curiously, its sum of prime factors is a cube (5 + 11 + 11 = 27 = 3^3). [Post]

 

  Submitted: 2009-09-21 21:32:58;   Last Modified: 2009-09-22 06:03:37.



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