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Digit permutation (Posted on 2013-03-03) Difficulty: 3 of 5
735 is a 3-digit base ten positive integer formed by a permutation of the digits 3, 5 and 7 and, 735 is divisible by each of 3, 5 and 7.

Determine the minimum value of N with N ≥ 11 such that there exists a 3-digit base-N positive integer p which is formed by a permutation of the digits 3, 5 and 7 such that p is divisible by each of 3, 5 and 7. What is the next smallest value of N with this property?

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
extended answerDej Mar2013-03-04 09:10:42
Solutioncomputer solutionCharlie2013-03-03 12:17:56
SolutionExcel solution (spoiler)Steve Herman2013-03-03 10:50:47
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