perplexus.info :: Just Math : Point to 2013 (2)

Point to 2013 (2) (Posted on 2013-02-22)

Each of p and q is a positive integer with gcd(p, q)=1.

Determine the minimum value of p+q such that:

The first four digits immediately following the decimal point in the base ten expansion of p/q + q/p is 2013.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required minimum value of p+q is 169 corresponding to (p, q) = (66,103)
For an explanation, refer to the solution submitted by Charlie in this location.
Jer has given an outline of analytic solution in this location.

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

Subject	Author	Date
Outline of analytic solution	Jer	2013-02-23 17:06:46
computer solution	Charlie	2013-02-22 14:06:08

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