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Three Quotients and Integer Puzzle (Posted on 2015-06-03)

For how many ordered pairs (p,q) of positive integers with q < p ≤ 2015 is each of p/q, (p+1)/(q+1) and (p+2)/(q+2) an integer?

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

The required total number of ordered pairs of positive integers in terms of the given conditions is 604
For an explanation, refer to the computer assisted solution submitted by Charlie in this location.

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

Subject	Author	Date
error	xdog	2015-06-03 18:39:48
I get (with computer program)	Charlie	2015-06-03 15:56:14
re: solution	Steve Herman	2015-06-03 13:23:01
solution	xdog	2015-06-03 11:41:28

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