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Eight Embodiment (Posted on 2014-05-25) Difficulty: 3 of 5
Determine the respective minimum values of a positive integer N for each p = 1 to 9 inclusively, such that:
  • N is composite, and:
  • All positive divisors of N (including itself but, with the exclusion of 1) contain the digit p.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (2 votes)

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p = 7 (spoiler) | Comment 2 of 6 |
All minimum N's have to be the product of two primes, each of which has p in it.

For p = 7, I think the first 4 are:

497 = 7*71
679 = 7*97
749 = 7*107
799 = 17*47

Edited on May 25, 2014, 4:10 pm
  Posted by Steve Herman on 2014-05-25 13:16:21

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