You can make it even faster by just dropping 5 from the list, since including a 5 excludes all even digits and restricts the solution length to 5 digits (which we quickly prove is too short). You can also make it faster by more efficiently skipping the redundant permutations. That's the nature of quick hacks. (:

- tye        

In reply to Re^4: Puzzle: What is the largest integer ... (not "a longest") by tye
in thread Puzzle: What is the largest integer whose digits are all different (and do not include 0) that is divisible by each of its individual digits? by tphyahoo

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