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72720130561 = 13 * 23 * 29 * 41 * 43 * 67 * 71. This is the smallest 7-brilliant Carmichael number. Note that the sum of these prime factors is 13 + 23 + 29 + 41 + 43 + 67 + 71 = 287 = 7 * 41, so the mean of the 7 prime factors equals the median prime factor: 41. Note also that the next consecutive Carmichael Number is a 3-brilliant number: 72725349421 = 1693 * 5077 * 8461. [Carmichael]

 

  Submitted: 2004-11-02 23:19:26;   Last Modified: 2008-01-30 11:28:00.



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