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 Powers of 3, 4, and 7 Included (Posted on 2022-01-10)
What is the smallest positive integer N in which you can "see" the consecutive digits of other integers t, f, and s where:

- the digits of N are all unique
- t=i^3, f=j^4, and s=k^7 for some integers i,j,k
- t, f, and s are each at least 3 digits
- there can be overlap of some of the digits of each of the powers as they appear in N.

For example, if N is abcdefg, then a valid solution would be if abcd, cde, and defg were a perfect cube, a 4th power and a 7th power in some order.
Furthermore, if a number's digits are abcd, then it is included in xyabcdz but not included in xabycdz.

 See The Solution Submitted by Larry Rating: 4.0000 (1 votes)

 Subject Author Date A lower number Steve Herman 2022-01-10 12:28:06 Still smaller exists Larry 2022-01-10 11:48:07 lower number Charlie 2022-01-10 11:37:04 One Number H M 2022-01-10 09:59:35 First Thoughts (hint) Steve Herman 2022-01-10 07:23:08

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