perplexus.info :: Numbers : One-tenth Power Problem

One-tenth Power Problem (Posted on 2023-11-02)

Determine the smallest possible positive integer P which is not a perfect tenth power, but in the decimal expansion of its tenth root, the decimal point is followed by at least 14 consecutive zeroes.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

N=28^10 + 1=296196766695425
¹⁰√N = 28.0000000000000094531754(fourteen zeroes)
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
re: solution	Charlie	2023-11-02 09:35:16
Analytic approach	Larry	2023-11-02 09:15:32
solution	Charlie	2023-11-02 08:56:23

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