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Extreme Eleven Exercise (Posted on 2010-01-21) Difficulty: 3 of 5
N is an 11-digit base ten prime number N (with no leading zero) with the proviso that N contains each of the digits from 0 to 9 at least once.

Determine the respective minimum and maximum value of N.

No Solution Yet Submitted by K Sengupta    
Rating: 3.5000 (2 votes)

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Minimum | Comment 1 of 4

I think the minimum is 10,123,457,689.

I started by building a file of all primes < 1,000,000, which is enough to check primality for any 11-digit number.  Then running a program with some optimization techniques I was able to get the above number.

Now to work on the maximum ...

  Posted by Jim Keneipp on 2010-01-21 14:23:02
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