perplexus.info :: Just Math : Inverse Power Pact

Inverse Power Pact (Posted on 2014-10-02)

Determine the value of a smallest positive integer N greater than 1 such that the base ten expansion of N^1/N contains precisely six zeroes immediately following the decimal point. How about seven zeroes?

Extra Challenge: A non computer program solution.

Submitted by K Sengupta

Rating: 4.0000 (1 votes)

Solution: (Hide)

(1) 16626518^(1/16626518) =1.000000999999985677...
(2) 190660035^(1/190660035) = 1.0000000999999996428...
For an explanation, refer to:
• The solution submitted by broll in this location.
• The solution submitted by Charlie in this location.

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

Subject	Author	Date
Possible solution	broll	2014-10-02 10:59:28
The computer solution	Charlie	2014-10-02 10:47:53

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