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four or more (Posted on 2010-01-25) Difficulty: 4 of 5
Without evaluating the value of N=5*7^34 prove that at least one digit appears in the number four or more times.

  Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)
Solution: (Hide)
N has 30 digits. If every digit occured exactly 3 times than N would be a multiple of 3. But N's prime divisors are 5 and 7 only. So at least one digit is present 4 times or more.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Fortissimoed bottemiller2010-01-25 17:00:49
SolutionSolutionBrian Smith2010-01-25 14:53:21
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