perplexus.info :: Numbers : Fifth Power Arranger

Fifth Power Arranger (Posted on 2024-04-03)

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 M⁵ to get N⁵, and where neither M nor M⁵ contains a 0.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The first has the smallest M; the second has the smallest sum of M+N
(M,N): (2789583, 3827895)
(M^5,N^5): (168925976735132468257269288688143, 821864236278535712982686199684375)
(M,N): (3247853, 3284375)
(M^5,N^5): (361394736288738299683515265954493, 382176244565919339656829833984375)
Larry was the only one to solve this problem.

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

Subject	Author	Date
re: massacre	K Sengupta	2024-04-11 10:34:00
massacre	Jylin Hazdy	2024-04-11 06:46:16
Solution	Larry	2024-04-03 11:19:35

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (13)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info