perplexus.info :: Just Math : Squarely Divisible?

Squarely Divisible? (Posted on 2009-12-31)

Can there exist three integers p, q and r with 2 ≤ p < q < r, that satisfy each of the following conditions?

(i) p² -1 is divisible by each of q and r, and:

(ii) r² -1 is divisible by each of p and q.

See The Solution Submitted by K Sengupta

Rating: 4.5000 (2 votes)

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Subject	Author	Date
Extra credit	Steve Herman	2010-01-02 22:05:29
Relatively speaking (solution)	Steve Herman	2010-01-02 21:45:23

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