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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: ( Back to comment list | You must be logged in to post comments.)

re(2): Some numbers but without a proof

| Comment 5 of 6 |

You are correct, of course. I corrected my earlier post.

Posted by Larry on 2024-03-16 12:06:49

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