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Power Digits (Posted on 2024-03-15)

Let N=d₁d₂d₃...d_n be an n-digit decimal number, with n>1.

Form the sum:
S(N) = d₁ⁿ + d₂ⁿ+ d₃ⁿ + ... + d_nⁿ

Prove that there are only a finite number of integers N for which S(N)=N.

For an extra credit, find these values of N.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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

Subject	Author	Date
No Subject	Daniel Adams	2024-03-20 15:46:03
re(2): Some numbers but without a proof	Larry	2024-03-16 12:06:49
different algorithm to find the numbers	Charlie	2024-03-16 08:13:30
re: Some numbers but without a proof	Charlie	2024-03-15 18:16:24
Proof of finiteness and commentary	Jer	2024-03-15 14:23:43
Some numbers but without a proof	Larry	2024-03-15 12:59:10

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