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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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If the digit sum of n!, S(n!), is the product of 9 and any prime larger than n, then S(n!) cannot divide n!.

 

  Submitted: 1999-09-02 18:40:00;   Last Modified: 2008-01-30 11:28:00.



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