perplexus.info :: Just Math : Numerator Divisibility Nuance

Numerator Divisibility Nuance (Posted on 2011-01-22)

Each of p and q is a positive integer, with p and q being relatively prime, such that:

p/q = 1 - 1/2 + 1/3 - 1/4 + ...... - 1/1318 + 1/1319

Prove that p is divisible by 1979.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Refer to:
The analytical solution submitted by Brian Smith in this location.
The compuet program assisted solution submitted by Charlie in this location.

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

Subject	Author	Date
re: Solution	Steve Herman	2011-01-23 16:14:54
Solution	Brian Smith	2011-01-23 14:55:04
Not obvious to me	Steve Herman	2011-01-23 14:24:43
brute force	Charlie	2011-01-22 15:51:32

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