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Fourth Power Arranger (Posted on 2024-03-30)

Find the smallest distinct whole numbers, M and N such that you can rearrange the digits of M to get N, and you can rearrange the digits of M⁴ to get N⁴, and where neither M nor M⁴ contains a 0.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Depending on how you define the smallest pair, the first pair has the overall smallest number, but the second pair has the smallest sum:
(M, N): (125413, 152314)
The 4th powers: (247383213595342283761,
538219333452784723216)
The 4th powers: (262495918768771833616,
266978811763592348176)
For an explanation, refer to the solution submitted by Larry in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	Computer Solution	Larry	2024-03-30 11:58:26

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