an interesting problem

[Gerson W. Barbosa]

(05-03-2015 06:49 AM)Don Shepherd Wrote:  Interestingly (to me at least, but then I'm weird), if we evaluate this for a 4-digit number instead of a 3-digit number, the number of permutations is the same [P(4,4)=24] and there is no solution as well.

This appears to be a matter of probability. Sure there are about 1050 4-digit prime numbers, but in this one only group of 24 numbers it is very unlikely that all of them are primes. But indeed an overall interesting problem. Thanks for submitting it!