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Same Six Digits (Posted on 2014-03-26) Difficulty: 3 of 5
What are the possible values of a six digit positive integer N, where all digits of N are different, and 4*N has the same six digits as N?

Prove that there are no others.

No Solution Yet Submitted by K Sengupta    
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Some Thoughts re: Let me count the ways | Comment 4 of 6 |
(In reply to Let me count the ways by Steve Herman)

Have reviewed Charlie's list, I see that my assertion that N = 0 mod 9 was incorrect.

N can also = 3 or 6 mod 9.

So the total number of viable candidates was about 6,720, about three times what I thought.

64, a little less that 1% of these, actually worked.

  Posted by Steve Herman on 2014-03-26 13:42:02
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