perplexus.info :: Just Math : Eight Embodiment

Eight Embodiment (Posted on 2014-05-25)

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)

Comments: ( Back to comment list | You must be logged in to post comments.)

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

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info