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All digits distinct (Posted on 2018-12-12) Difficulty: 2 of 5
What is the highest prime number with no repeated digits?

See The Solution Submitted by Ady TZIDON    
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solution | Comment 1 of 2
Thanks to prime tables the solution came quickly.

The prime won't have 10 distinct digits because then it would be divisible by 3.  So 9 digits is the theoretical max.

987654abc would be a possible maximal form.  (a,b,c) can only be (0,1,3) or (0,2,3) so there are just a handful of cases to check.

Looking up a list of primes I found 987654103 is prime while the other possibilities are not.


  Posted by xdog on 2018-12-12 09:33:53
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