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Pandigital concatenations (Posted on 2014-05-10) Difficulty: 3 of 5
What is the smallest integer n such that a concatenation of n2 and n3 contains each of the ten decimal digits exactly once?

What is the smallest integer m, m>n such that a concatenation of m2 and m3 contains each of the ten decimal digits once and some of them more than once?

Please provide few additional(i.e. not smallest) samples for both cases.

  Submitted by Ady TZIDON    
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Solution: (Hide)
1st case: n=69; n*n=4761; n^3=328509
2nd case: see list @ Charlie's comment.

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  Subject Author Date
Solutioncomputer solutionsCharlie2014-05-10 15:55:51
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